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What is the engine oil capacity of a Honda V30 motorcycle?


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Answered 2009-08-12 11:08:53

3.2 quarts 1.4 litres

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192DF Diesel Engine DODGE CHARGER V8 5.2L 318 CID DODGE CHARGER V8 6.4L 383 CID DODGE CHARGER V8 7.0L 426 CID DODGE CHARGER V8 7.2L 440 CID DODGE CORONET L6 3.7L 225 CID DODGE CORONET V8 4.5L 273 CID DODGE CORONET V8 5.2L 318 CID DODGE CORONET V8 5.3L 326 CID DODGE CORONET V8 5.7L 350 CID DODGE CORONET V8 5.9L 361 CID DODGE CORONET V8 6.3L 383 CID DODGE CORONET V8 7.0L 426 CID DODGE CORONET V8 7.2L 440 CID DODGE DART L6 2.8L 170 CID DODGE DART L6 3.2L 198 CID DODGE DART L6 3.7L 225 CID DODGE DART V8 4.5L 273 CID DODGE DART V8 5.2L 318 CID DODGE DART V8 5.6L 340 CID DODGE DART V8 5.9L 361 CID DODGE DART V8 6.3L 383 CID DODGE DART V8 6.4L 383 CID DODGE DART V8 6.8L 413 CID DODGE DODGE L6 (All) DODGE DODGE V8 (All) DODGE DODGE V8 5.6L 340 CID DODGE DODGE V8 6.4L 383 CID DODGE DODGE V8 7.2L 440 CID DODGE LANCER L6 2.8L 170 CID DODGE LANCER L6 3.7L 225 CID DODGE LANCER V8 6.8L 413 CID DODGE MONACO V8 5.2L 318 CID DODGE MONACO V8 6.3L 383 CID DODGE MONACO V8 6.8L 413 CID DODGE MONACO V8 7.0L 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LIGHT TRUCKS PICKUP/VANS V8 6.3L 383 CID DODGE LIGHT TRUCKS RAMCHARGER L6 3.7L 225 CID DODGE LIGHT TRUCKS RAMCHARGER V8 5.2L 318 CID DODGE LIGHT TRUCKS RAMCHARGER V8 5.9L 360 CID DODGE LIGHT TRUCKS RAMCHARGER V8 7.2L 440 CID DODGE LIGHT TRUCKS VAN - B SERIES - ALL L6 3.7L 225 CID DODGE LIGHT TRUCKS VAN - B SERIES - ALL V8 5.2L 318 CID DODGE LIGHT TRUCKS VAN - B SERIES - ALL V8 5.9L 360 CID DODGE LIGHT TRUCKS VAN - B SERIES - ALL V8 6.6L 400 CID DODGE LIGHT TRUCKS VAN - B SERIES - ALL V8 7.2L 440 CID DODGE LIGHT TRUCKS VAN - P & B SERIES - ALL L6 3.2L 198 CID DODGE LIGHT TRUCKS VAN - P & B SERIES - ALL L6 3.7L 225 CID DODGE LIGHT TRUCKS VAN - P & B SERIES - ALL V8 5.2L 318 CID DODGE LIGHT TRUCKS VAN - P & B SERIES - ALL V8 5.9L 360 CID DODGE TRUCKS+Also Refer To Light Truck Section 1000 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 1000 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 1000 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 1000 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / 6-170 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / 6-198 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / 6-225 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / 6-251 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 400 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / 6-170 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / 6-198 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / 6-225 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / 6-251 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / 6-170 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / 6-198 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / 6-225 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / 6-251 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section C850 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section C850 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section C850 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section C850 Series w / V8 400 Engine DODGE TRUCKS+Also Refer To Light Truck Section M Series Motor Homes w / V8 318 Engine DODGE TRUCKS+Also Refer To Light Truck Section M Series Motor Homes w / V8 413 Engine DODGE TRUCKS+Also Refer To Light Truck Section M Series Motor Homes w / V8 440 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / 6-170 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / 6-198 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / 6-225 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / 6-251 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / V8 273A Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / V8 318A Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / V8 360 Engine DODGE TRUCKS+Also Refer To Light Truck Section S550 Series w / V8 400 Engine DYNAPAC+Rollers CC21A w / Ford 256 Diesel Engine EATON+Lift Trucks GC w / Chrysler H225 Engine EATON+Lift Trucks GDC60-80LB w / Chrysler H225 Engine EATON+Lift Trucks GDP60-80LB w / Chrysler H225 Engine EATON+Lift Trucks GLC w / Chrysler H225 Engine EATON+Lift Trucks GLP w / Chrysler H225 Engine EATON+Lift Trucks GP w / Chrysler H225 Engine EATON+Lift Trucks L51C w / Chrysler H225 Engine EDSEL BERMUDA V8 5.9L 361 CID EDSEL CITATION V8 6.7L 410 CID EDSEL CORSAIR V8 5.4L 332 CID EDSEL CORSAIR V8 6.7L 410 CID EDSEL PACER V8 5.9L 361 CID EDSEL RANGER L6 3.7L 223 CID EDSEL RANGER V8 4.8L 292 CID EDSEL RANGER V8 5.9L 361 CID EDSEL ROUNDUP V8 5.9L 361 CID EDSEL VILLAGER V8 4.8L 292 CID EDSEL VILLAGER V8 5.8L 352 CID EDSEL VILLAGER V8 5.9L 361 CID FERRARI 128E All FERRARI 166 V12 2.0L 1995cc FERRARI 195 V12 2.3L 2341cc FERRARI 212 V12 2.6L 2562cc FERRARI 250 Series All FERRARI 250 Series V12 3.0L 2953cc FERRARI 250 Series V12 3.0L 2963cc FERRARI 275 GTB V12 3.3L 3286cc FERRARI 308 GTB V8 3.0L 2927cc FERRARI 308 GTBi V8 3.0L 2927cc FERRARI 308 GTS V8 3.0L 2927cc FERRARI 308 GTSi V8 3.0L 2927cc FERRARI 328 GTB V8 3.2L 3185cc FERRARI 328 GTS V8 3.2L 3185cc FERRARI 330 Series All FERRARI 330 Series V12 4.0L 3967cc FERRARI 365 Series H12 4.4L 4390cc FERRARI 365 Series V12 4.4L 4390cc FERRARI 400 Series All FERRARI 400 SUPERAMERICA V12 4.0L 3967cc FERRARI 410 SUPERAMERICA V12 5.0L 4962cc FERRARI 500 SUPERFAST V12 5.0L 4962cc FERRARI 512 Series H12 4.9L 4943cc FERRARI DINO 206 GT V6 2.0L 1987cc FERRARI DINO 246 GT V6 2.4L 2418cc FERRARI DINO 246 GTS V6 2.4L 2418cc FERRARI DINO 308 GT4 V8 3.0L 2927cc FMC+Logging Equipment 4000 (Tree Shaker) w / Ford Engine FORD COUNTRY SEDAN V8 5.0L 302 CID FORD COUNTRY SEDAN V8 5.8L 351 CID FORD COUNTRY SEDAN V8 6.4L 390 CID FORD COUNTRY SEDAN V8 6.6L 400 CID FORD COUNTRY SEDAN V8 7.0L 429 CID FORD COUNTRY SEDAN V8 7.5L 460 CID FORD COUNTRY SQUIRE V8 5.0L 302 CID FORD COUNTRY SQUIRE V8 5.8L 351 CID FORD COUNTRY SQUIRE V8 6.6L 400 CID FORD COUNTRY SQUIRE V8 7.0L 429 CID FORD COUNTRY SQUIRE V8 7.5L 460 CID FORD CROWN VICTORIA V8 5.0L 302 CID FORD CROWN VICTORIA V8 5.8L 351W CID FORD CUSTOM/CUSTOM 500 L6 3.9L 240 CID FORD CUSTOM/CUSTOM 500 V8 5.0L 302 CID FORD CUSTOM/CUSTOM 500 V8 5.8L 351 CID FORD CUSTOM/CUSTOM 500 V8 5.8L 351C CID FORD CUSTOM/CUSTOM 500 V8 5.8L 351M CID FORD CUSTOM/CUSTOM 500 V8 5.8L 351W CID FORD CUSTOM/CUSTOM 500 V8 6.4L 390 CID FORD CUSTOM/CUSTOM 500 V8 6.6L 400 CID FORD CUSTOM/CUSTOM 500 V8 7.0L 429 CID FORD CUSTOM/CUSTOM 500 V8 7.5L 460 CID FORD ELITE V8 5.8L 351 CID FORD ELITE V8 6.6L 400 CID FORD ELITE V8 7.5L 460 CID FORD FAIRLANE L6 2.8L 170 CID FORD FAIRLANE L6 3.3L 200 CID FORD FAIRLANE L6 3.7L 223 CID FORD FAIRLANE L6 4.1L 250 CID FORD FAIRLANE V8 3.6L 221 CID FORD FAIRLANE V8 4.3L 260 CID FORD FAIRLANE V8 4.5L 272 CID FORD FAIRLANE V8 4.7L 289 CID FORD FAIRLANE V8 4.8L 292 CID FORD FAIRLANE V8 5.0L 302 CID FORD FAIRLANE V8 5.1L 312 CID FORD FAIRLANE V8 5.4L 332 CID FORD FAIRLANE V8 5.8L 351C CID FORD FAIRLANE V8 5.8L 351W CID FORD FAIRLANE V8 5.8L 352 CID FORD FAIRLANE V8 6.4L 390 CID FORD FAIRLANE V8 7.0L 427 CID FORD FAIRLANE V8 7.0L 428 CID FORD FAIRLANE V8 7.0L 429 CID FORD FAIRMONT L4 2.3L 140 CID FORD FAIRMONT L6 3.3L 200 CID FORD FAIRMONT V8 4.2L 255 CID FORD FAIRMONT V8 5.0L 302 CID FORD FALCON L6 2.4L 144 CID FORD FALCON L6 2.8L 170 CID FORD FALCON L6 3.3L 200 CID FORD FALCON L6 4.1L 250 CID FORD FALCON V8 4.3L 260 CID FORD FALCON V8 4.7L 289 CID FORD FALCON V8 5.0L 302 CID FORD FORD (FULL SIZE) ALL 6 CYL. FORD FORD (FULL SIZE) L6 3.7L 223 CID FORD FORD (FULL SIZE) L6 3.9L 240 CID FORD FORD (FULL SIZE) L6 4.0L 240 CID FORD FORD (FULL SIZE) V8 FORD FORD (FULL SIZE) V8 4.3L 260 CID FORD FORD (FULL SIZE) V8 4.7L 289 CID FORD FORD (FULL SIZE) V8 4.8L 292 CID FORD FORD (FULL SIZE) V8 5.0L 302 CID FORD FORD (FULL SIZE) V8 5.5L 332 CID FORD FORD (FULL SIZE) V8 5.8L 351 CID FORD FORD (FULL SIZE) V8 5.8L 352 CID FORD FORD (FULL SIZE) V8 5.9L 361 CID FORD FORD (FULL SIZE) V8 6.4L 390 CID FORD FORD (FULL SIZE) V8 6.6L 406 CID FORD FORD (FULL SIZE) V8 7.0L 427 CID FORD FORD (FULL SIZE) V8 7.0L 428 CID FORD FORD (FULL SIZE) V8 7.0L 429 CID FORD FORD (FULL SIZE) V8 Police Interceptor FORD FORD 300 L6 3.7L 223 CID FORD FORD 300 V8 4.3L 260 CID FORD FORD 300 V8 4.7L 289 CID FORD FORD 300 V8 5.8L 352 CID FORD GALAXIE/GALAXIE 500 L6 3.7L 223 CID FORD GALAXIE/GALAXIE 500 L6 3.9L 240 CID FORD GALAXIE/GALAXIE 500 V8 4.3L 260 CID FORD GALAXIE/GALAXIE 500 V8 4.7L 289 CID FORD GALAXIE/GALAXIE 500 V8 4.8L 292 CID FORD GALAXIE/GALAXIE 500 V8 5.0L 302 CID FORD GALAXIE/GALAXIE 500 V8 5.4L 332 CID FORD GALAXIE/GALAXIE 500 V8 5.8L 351 CID FORD GALAXIE/GALAXIE 500 V8 5.8L 351C CID FORD GALAXIE/GALAXIE 500 V8 5.8L 351W CID FORD GALAXIE/GALAXIE 500 V8 5.8L 352 CID FORD GALAXIE/GALAXIE 500 V8 6.4L 390 CID FORD GALAXIE/GALAXIE 500 V8 6.6L 400 CID FORD GALAXIE/GALAXIE 500 V8 6.7L 406 CID FORD GALAXIE/GALAXIE 500 V8 7.0L 427 CID FORD GALAXIE/GALAXIE 500 V8 7.0L 428 CID FORD GALAXIE/GALAXIE 500 V8 7.0L 429 CID FORD GALAXIE/GALAXIE 500 V8 7.5L 460 CID FORD GRANADA L4 2.3L 140 CID FORD GRANADA L6 3.3L 200 CID FORD GRANADA L6 4.1L 250 CID FORD GRANADA V6 3.8L 232 CID FORD GRANADA V8 4.2L 255 CID FORD GRANADA V8 5.0L 302 CID FORD GRANADA V8 5.8L 351M CID FORD GRANADA V8 5.8L 351W CID FORD LTD L4 2.3L 140 CID FORD LTD L6 3.3L 200 CID FORD LTD V6 3.8L 232 CID FORD LTD V8 4.2L 255 CID FORD LTD V8 4.7L 289 CID FORD LTD V8 5.0L 302 CID FORD LTD V8 5.8L 351 CID FORD LTD V8 5.8L 351C CID FORD LTD V8 5.8L 351M CID FORD LTD V8 5.8L 351W CID FORD LTD V8 6.4L 390 CID FORD LTD V8 6.6L 400 CID FORD LTD V8 7.0L 427 CID FORD LTD V8 7.0L 428 CID FORD LTD V8 7.0L 429 CID FORD LTD V8 7.5L 460 CID FORD LTD II V8 5.0L 302 CID FORD LTD II V8 5.8L 351M CID FORD LTD II V8 5.8L 351W CID FORD LTD II V8 6.6L 400 CID FORD MAVERICK L6 2.8L 170 CID FORD MAVERICK L6 3.3L 200 CID FORD MAVERICK L6 4.1L 250 CID FORD MAVERICK V8 5.0L 302 CID FORD MUSTANG L4 2.3L 140 CID FORD MUSTANG L6 2.8L 170 CID FORD MUSTANG L6 3.3L 200 CID FORD MUSTANG L6 4.1L 250 CID FORD MUSTANG V6 2.8L 171 CID FORD MUSTANG V6 3.8L 232 CID FORD MUSTANG V8 4.2L 255 CID FORD MUSTANG V8 4.3L 260 CID FORD MUSTANG V8 4.7L 289 CID FORD MUSTANG V8 5.0L 302 CID FORD MUSTANG V8 5.8L 351 CID FORD MUSTANG V8 5.8L 351C CID FORD MUSTANG V8 5.8L 351W CID FORD MUSTANG V8 6.4L 390 CID FORD MUSTANG V8 7.0L 427 CID FORD MUSTANG V8 7.0L 428 CID FORD MUSTANG V8 7.0L 429 CID FORD MUSTANG II L4 2.3L 140 CID FORD PINTO L4 2.0L 122 CID FORD PINTO L4 2.3L 140 CID FORD RANCH WAGON V8 5.0L 302 CID FORD RANCH WAGON V8 5.8L 351 CID FORD RANCH WAGON V8 6.6L 400 CID FORD RANCH WAGON V8 7.0L 429 CID FORD RANCH WAGON V8 7.5L 460 CID FORD TAURUS L4 2.5L 153 CID FORD TEMPO L4 2.3L 140 CID FORD THUNDERBIRD L6 3.3L 200 CID FORD THUNDERBIRD V6 3.8L 232 CID FORD THUNDERBIRD V8 4.2L 255 CID FORD THUNDERBIRD V8 4.8L 292 CID FORD THUNDERBIRD V8 5.0L 302 CID FORD THUNDERBIRD V8 5.4L 332 CID FORD THUNDERBIRD V8 5.8L 351 CID FORD THUNDERBIRD V8 5.8L 351M CID FORD THUNDERBIRD V8 5.8L 351W CID FORD THUNDERBIRD V8 5.8L 352 CID FORD THUNDERBIRD V8 6.4L 390 CID FORD THUNDERBIRD V8 6.6L 400 CID FORD THUNDERBIRD V8 6.7L 406 CID FORD THUNDERBIRD V8 7.0L 427 CID FORD THUNDERBIRD V8 7.0L 428 CID FORD THUNDERBIRD V8 7.0L 429 CID FORD THUNDERBIRD V8 7.0L 430 CID FORD THUNDERBIRD V8 7.5L 460 CID FORD TORINO/GRAND TORINO L6 4.1L 250 CID FORD TORINO/GRAND TORINO V8 4.7L 289 CID FORD TORINO/GRAND TORINO V8 5.0L 302 CID FORD TORINO/GRAND TORINO V8 5.8L 351 CID FORD TORINO/GRAND TORINO V8 5.8L 351C CID FORD TORINO/GRAND TORINO V8 5.8L 351M CID FORD TORINO/GRAND TORINO V8 5.8L 351W CID FORD TORINO/GRAND TORINO V8 6.4L 390 CID FORD TORINO/GRAND TORINO V8 6.6L 400 CID FORD TORINO/GRAND TORINO V8 7.0L 427 CID FORD TORINO/GRAND TORINO V8 7.0L 428 CID FORD TORINO/GRAND TORINO V8 7.0L 429 CID FORD TORINO/GRAND TORINO V8 7.0L 429 CID H.O. FORD TORINO/GRAND TORINO V8 7.5L 460 CID FORD LIGHT TRUCKS AEROSTAR L4 2.3L 140 CID FORD LIGHT TRUCKS AEROSTAR V6 2.8L 171 CID FORD LIGHT TRUCKS AEROSTAR V6 4.0L 244 CID FORD LIGHT TRUCKS BRONCO FULL SIZE L6 (ALL) FORD LIGHT TRUCKS BRONCO FULL SIZE L6 2.8L 170 CID FORD LIGHT TRUCKS BRONCO FULL SIZE L6 3.3L 200 CID FORD LIGHT TRUCKS BRONCO FULL SIZE L6 4.9L 300 CID FORD LIGHT TRUCKS BRONCO FULL SIZE V8 (ALL) FORD LIGHT TRUCKS BRONCO FULL SIZE V8 5.0L 302 CID FORD LIGHT TRUCKS BRONCO FULL SIZE V8 5.8L 351 CID FORD LIGHT TRUCKS BRONCO FULL SIZE V8 6.6L 400 CID FORD LIGHT TRUCKS BRONCO FULL SIZE, BRONCO II COMPACT L6 4.9L 300 CID FORD LIGHT TRUCKS BRONCO FULL SIZE, BRONCO II COMPACT V6 2.8L 171 CID FORD LIGHT TRUCKS BRONCO FULL SIZE, BRONCO II COMPACT V6 2.9L 177 CID FORD LIGHT TRUCKS BRONCO FULL SIZE, BRONCO II COMPACT V8 5.0L 302 CID FORD LIGHT TRUCKS BRONCO FULL SIZE, BRONCO II COMPACT V8 5.8L 351 CID FORD LIGHT TRUCKS EXPLORER V6 4.0L 244 CID FORD LIGHT TRUCKS EXPLORER SPORT\SPORT TRAC V6 4.0L 244 CID FORD LIGHT TRUCKS PICKUP F-SERIES (ALL) L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F-SERIES (ALL) V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F-SERIES (ALL) V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F-SERIES (ALL) V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V6 3.8L 232 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V8 4.2L 255 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V8 6.6L 400 CID FORD LIGHT TRUCKS PICKUP F100 1/2 TON, F150 1/2 TON, F250 3/4 TON, F350 1 TON V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUP F100 1/2T L6 3.9L 240 CID FORD LIGHT TRUCKS PICKUP F100 1/2T L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 4.2L 255 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 6.4L 390 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 6.6L 400 CID FORD LIGHT TRUCKS PICKUP F100 1/2T V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUP F150 1/2T L6 3.9L 240 CID FORD LIGHT TRUCKS PICKUP F150 1/2T L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 6.4L 390 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 6.6L 400 CID FORD LIGHT TRUCKS PICKUP F150 1/2T V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUP F250 3/4T L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 6.4L 390 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 6.6L 400 CID FORD LIGHT TRUCKS PICKUP F250 3/4T V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUP F350 1 TON L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 6.4L 390 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 6.6L 400 CID FORD LIGHT TRUCKS PICKUP F350 1 TON V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUPS (ALL) L6 (ALL) FORD LIGHT TRUCKS PICKUPS (ALL) L6 3.9L 240 CID FORD LIGHT TRUCKS PICKUPS (ALL) L6 4.9L 300 CID FORD LIGHT TRUCKS PICKUPS (ALL) V8 (ALL) FORD LIGHT TRUCKS PICKUPS (ALL) V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUPS (ALL) V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUPS (ALL) V8 6.4L 390 CID FORD LIGHT TRUCKS PICKUPS (ALL) V8 7.5L 460 CID FORD LIGHT TRUCKS PICKUPS/VANS L6 (ALL) FORD LIGHT TRUCKS PICKUPS/VANS V8 352 FORD LIGHT TRUCKS PICKUPS/VANS V8 4.2L 260 CID FORD LIGHT TRUCKS PICKUPS/VANS V8 4.7L 289 CID FORD LIGHT TRUCKS PICKUPS/VANS V8 5.0L 302 CID FORD LIGHT TRUCKS PICKUPS/VANS V8 5.8L 351 CID FORD LIGHT TRUCKS PICKUPS/VANS V8 5.9L 360 CID FORD LIGHT TRUCKS PICKUPS/VANS V8 6.4L 390 CID FORD LIGHT TRUCKS RANCHERO L6 (ALL) FORD LIGHT TRUCKS RANCHERO L6 4.1L 250 CID FORD LIGHT TRUCKS RANCHERO V8 (ALL) FORD LIGHT TRUCKS RANCHERO V8 5.0L 302 CID FORD LIGHT TRUCKS RANCHERO V8 5.8L 351 CID FORD LIGHT TRUCKS RANCHERO V8 5.8L 351C CID FORD LIGHT TRUCKS RANCHERO V8 5.8L 351M CID FORD LIGHT TRUCKS RANCHERO V8 5.8L 351W CID FORD LIGHT TRUCKS RANCHERO V8 6.6L 400 CID FORD LIGHT TRUCKS RANCHERO V8 7.0L 429 CID FORD LIGHT TRUCKS RANCHERO V8 7.5L 460 CID FORD LIGHT TRUCKS RANGER L4 2.0L 122 CID FORD LIGHT TRUCKS RANGER L4 2.3L 140 CID FORD LIGHT TRUCKS RANGER V6 2.8L 171 CID FORD LIGHT TRUCKS RANGER V6 2.9L 177 CID FORD LIGHT TRUCKS RANGER V6 4.0L 244 CID FORD LIGHT TRUCKS VAN E-SERIES ALL L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E-SERIES ALL V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E-SERIES ALL V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E-SERIES ALL V8 7.5L 460 CID FORD LIGHT TRUCKS VAN E100 1/2 TON L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E100 1/2 TON V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E100 1/2 TON V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E100 1/2 TON V8 7.5L 460 CID FORD LIGHT TRUCKS VAN E100 1/2 TON, E150 1/2 TON, E250 3/4 TON, E350 1 TON L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E100 1/2 TON, E150 1/2 TON, E250 3/4 TON, E350 1 TON V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E100 1/2 TON, E150 1/2 TON, E250 3/4 TON, E350 1 TON V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E100 1/2 TON, E150 1/2 TON, E250 3/4 TON, E350 1 TON V8 6.6L 400 CID FORD LIGHT TRUCKS VAN E100 1/2 TON, E150 1/2 TON, E250 3/4 TON, E350 1 TON V8 7.5L 460 CID FORD LIGHT TRUCKS VAN E150 1/2 TON L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E150 1/2 TON V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E150 1/2 TON V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E150 1/2 TON V8 6.6L 400 CID FORD LIGHT TRUCKS VAN E150 1/2 TON V8 7.5L 460 CID FORD LIGHT TRUCKS VAN E250 3/4 TON L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E250 3/4 TON V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E250 3/4 TON V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E250 3/4 TON V8 6.6L 400 CID FORD LIGHT TRUCKS VAN E250 3/4 TON V8 7.5L 460 CID FORD LIGHT TRUCKS VAN E350 1 TON L6 4.9L 300 CID FORD LIGHT TRUCKS VAN E350 1 TON V8 5.0L 302 CID FORD LIGHT TRUCKS VAN E350 1 TON V8 5.8L 351 CID FORD LIGHT TRUCKS VAN E350 1 TON V8 6.6L 400 CID FORD LIGHT TRUCKS VAN E350 1 TON V8 7.5L 460 CID FORD LIGHT TRUCKS VANS (ALL) L4 4.2L 254 CID FORD LIGHT TRUCKS VANS (ALL) L6 2.8L 170 CID FORD LIGHT TRUCKS VANS (ALL) L6 3.9L 240 CID FORD LIGHT TRUCKS VANS (ALL) L6 4.9L 300 CID FORD LIGHT TRUCKS VANS (ALL) V8 5.0L 302 CID FORD LIGHT TRUCKS VANS (ALL) V8 6.4L 390 CID FORD TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 292 Engine FORD TRUCKS+Also Refer To Light Truck Section 500 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 550 Series w / V8 292 Engine FORD TRUCKS+Also Refer To Light Truck Section 550 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 292 Engine FORD TRUCKS+Also Refer To Light Truck Section 600 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 292 Engine FORD TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 700 Series w / V8 391 Engine FORD TRUCKS+Also Refer To Light Truck Section 750 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 750 Series w / V8 391 Engine FORD TRUCKS+Also Refer To Light Truck Section 800 Series w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section 800 Series w / Ford V8 534 (8.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 330 Engine FORD TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 391 Engine FORD TRUCKS+Also Refer To Light Truck Section 800 Series w / V8 475 Engine FORD TRUCKS+Also Refer To Light Truck Section 850 Series w / V8 401 Engine FORD TRUCKS+Also Refer To Light Truck Section 880 Series w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section 880 Series w / V8 475 Engine FORD TRUCKS+Also Refer To Light Truck Section 900 Series w / Ford V8 429 (7.0L) Engine FORD TRUCKS+Also Refer To Light Truck Section 900 Series w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section 900 Series w / Ford V8 534 (8.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 401 Engine FORD TRUCKS+Also Refer To Light Truck Section 900 Series w / V8 475 Engine FORD TRUCKS+Also Refer To Light Truck Section 950 Series w / V8 401 Engine FORD TRUCKS+Also Refer To Light Truck Section C900 w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section C900 w / Ford V8 534 (8.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section L900 w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section L900 w / Ford V8 534 (8.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section LN900 w / Ford V8 477 (7.8L) Engine FORD TRUCKS+Also Refer To Light Truck Section LN900 w / Ford V8 534 (8.8L) Engine FORD+Gasoline Industrial Engines LSG423 4 Cyl. FORD+Wheel Loaders 445 w / Ford Gas Engine FORD+Wheel Loaders 445A w / Ford Gas Engine FORD+Wheel Loaders 545 w / Ford Diesel Engine FORD+Wheel Loaders 545 w / Ford Gas Engine FORD+Wheel Loaders 545A w / Ford Diesel Engine FORD+Wheel Loaders 545A w / Ford Gas Engine FORD+Wheel Tractors Dextra 2000 w / Diesel Engine FORD+Wheel Tractors Dextra 2000 w / Gas Engine GEHL+Loaders HL4400 Hydrocat w / Ford 134 Engine GOMACO+Paving Equipment RC Concrete Conveyers w / Ford 172 Engine GRADALL/HOPTO+Equipment G660 w / Chrysler HT413 Engine GRAY+Marine 125 (V8) GRAY+Marine 135 (V8) GRAY+Marine 170 (V8) GRAY+Marine 178 (V8) GRAY+Marine 188 (V8) GRAY+Marine 215 (V8) GRAY+Marine 225 (V8) GRAY+Marine 238 (V8) GRAY+Marine 260 (V8) GRAY+Marine 280 (V8) GRAY+Marine 310 (V8) GRAY+Marine C138 (V8) GRAY+Marine C175 (V8) GRAY+Marine C195 (V8) GRAY+Marine C220 (V8) GRIMMER SCHMIDT+Compressors 105 w / Ford V8 302 Engine GRIMMER SCHMIDT+Compressors 125 w / Ford V8 302 Engine GRIMMER SCHMIDT+Compressors 150 w / Ford V8 351 Engine GRIMMER SCHMIDT+Compressors 175 w / Ford V8 351 Engine GROVE+Cranes YB4408 w / Continental TM2.7L Engine GROVE+Cranes YB4410 w / Continental TM2.7L Engine HAGIE+Sprayers 472 w / Ford Engine HALSEY+Orchard Harvesters HUG42611C w / Ford Engine HALSEY+Orchard Harvesters LFP w / Ford Engine HESSTON+Windrowers 520 w / Chrysler HB225 Engine HESSTON+Windrowers 620 w / Chrysler HB225 Engine HESSTON+Windrowers 6200 w / Chrysler Gas Engine HESSTON+Windrowers 6400 w / Chrysler Gas Engine HESSTON+Windrowers 6450 w / Chrysler Gas Engine HESSTON+Windrowers 6455 w / Chrysler Gas Engine HESSTON+Windrowers 6465 w / Chrysler Gas Engine HESSTON+Windrowers 6500 w / Chrysler Gas Engine HESSTON+Windrowers 6550 w / Chrysler Gas Engine HESSTON+Windrowers 6600 w / Chrysler Gas Engine HESSTON+Windrowers 6610 w / Chrysler Engine HINO+Trucks HV10 w / B Engine HINO+Trucks K-HV10 w / B Engine HINO+Trucks K-HV17 w / 3B Engine HINO+Trucks K-HV17 w / B Engine HITACHI+Excavators EX55UR w / TD2340-10 Engine HITACHI+Excavators EX60-2 w / BD3004 Engine HITACHI+Excavators EX60-3 w / BD3004 Engine HITACHI+Excavators EX60-5 w / BD3004-19 Engine HITACHI+Excavators EX60LC-5 w / BD3004-19 Engine HITACHI+Excavators EX60LC-5 w / Nissan A-BD30 Engine HITACHI+Excavators EX60WD-2 w / BD3004 Engine HITACHI+Excavators EX75UR-3 w / BD3004-20 Engine HITACHI+Excavators EX80-5 w / BD3004-19 Engine HITACHI+Excavators EX80-5 w / Nissan BD30 Engine HYDRA-MAC+Loaders 20C Series V w / Gas Engine HYSTER+Lift Trucks 280XL w / 100 Turbo Engine HYSTER+Lift Trucks H100XL Challenger w / Perkins 4 Cyl. Engine HYSTER+Lift Trucks H110 w / Perkins 4 Cyl. Engine HYSTER+Lift Trucks H110XL Challenger w / Perkins 4 Cyl. Engine HYSTER+Lift Trucks H135XL Challenger w / Perkins 4 Cyl. Engine HYSTER+Lift Trucks H155XL Challenger w / Perkins 4 Cyl. Engine HYSTER+Lift Trucks H190XL w / 100 Turbo Engine HYSTER+Lift Trucks H300XL Challenger w / Perkins Turbo Engine HYSTER+Lift Trucks H330EC Challenger w / Perkins Turbo Engine HYSTER+Lift Trucks H360EC Challenger w / Perkins Turbo Engine HYSTER+Lift Trucks H360XL Challenger w / Perkins Turbo Engine HYSTER+Lift Trucks H70XL Challenger w / Perkins Engine HYSTER+Lift Trucks H80XL Challenger w / Perkins Engine HYSTER+Lift Trucks H90XL Challenger w / Perkins Engine HYSTER+Lift Trucks H90XLS Challenger w / Perkins Engine HYSTER+Lift Trucks S120XL Spacesaver w / Perkins Engine HYSTER+Lift Trucks S120XLS Spacesaver w / Perkins Engine HYSTER+Lift Trucks S135XL Spacesaver w / Perkins Engine HYSTER+Lift Trucks S155XL Spacesaver w / Perkins Engine HYSTER+Lift Trucks S70XL Spacesaver w / Perkins Engine HYUNDAI+Lift Trucks HLF20C w / Continental TM27 Engine HYUNDAI+Lift Trucks HLF25C w / Continental TM27 Engine HYUNDAI+Lift Trucks HLF30C w / Continental TM27 Engine IHC HARVESTER (IHC)+Loaders and Backhoes 4150 w / Ford 172 Diesel Engine IHC HARVESTER (IHC)+Loaders and Backhoes 4150 w / Ford 172 Gas Engine IHC LIGHT TRUCKS SCOUT L4 3.2L 196 CID IHC/NAVISTAR+Trucks & Buses 1700 Loadstar Series w / International MV404 (6.6L) Engine IHC/NAVISTAR+Trucks & Buses 1750 Loadstar Series w / International 404 Gas Engine INGERSOLL-RAND+Compressors DRP100S w / Perkins Engine INGERSOLL-RAND+Compressors DRP140 w / Perkins Engine INGERSOLL-RAND+Compressors DRP140S w / Deutz Engine INGERSOLL-RAND+Compressors DRP140S w / Perkins Engine INGERSOLL-RAND+Compressors DRP85 w / Perkins Engine INGERSOLL-RAND+Compressors DRP85S w / Perkins Engine INGERSOLL-RAND+Compressors P100AWF w / Gas Engine INGERSOLL-RAND+Compressors P100BWF w / Gas Engine INGERSOLL-RAND+Compressors P100WF w / Ford LSG423IR Engine INGERSOLL-RAND+Compressors P100WFU w / Gas Engine INGERSOLL-RAND+Compressors P125AWF w / Gas Engine INGERSOLL-RAND+Compressors P125BWF w / Gas Engine INGERSOLL-RAND+Compressors P125WF w / Ford LSG423IR Engine INGERSOLL-RAND+Compressors P125WFU w / Gas Engine INGERSOLL-RAND+Compressors P160WFU w / Gas Engine INGERSOLL-RAND+Compressors P175WFU w / Gas Engine INGERSOLL-RAND+Compressors P90 7/21 w / Ingersoll-Rand 3IRL2NB DA Engine INGERSOLL-RAND+Compressors P90WIR w / Ingersoll-Rand 3IRL2N Engine INGERSOLL-RAND+Compressors P90WIRU w / Ingersoll-Rand 3IRL2N Engine INGERSOLL-RAND+Forklifts VR518 w / Perkins 1004.40T Engine INGERSOLL-RAND+Pavers 750P w / Perkins Engine INGERSOLL-RAND+Rollers SP42 w / Ford 2514E Engine IVECO+Trucks 620 w / Fiat 803A Engine IVECO+Trucks 620 Crvena Zastava w / Fiat 803A Engine J.C.B. (J C BAMFORD)+Loaders 110 w / Perkins 4.248 Engine J.C.B. (J C BAMFORD)+Loaders 110B w / Perkins 4.248 Engine J.C.B. (J C BAMFORD)+Loaders 110C w / Perkins 4.248 Engine JEEP ALL MODELS L6 3.7L 230 OHC JEEP ALL MODELS L6 4.1L 250 CID JENSEN-HEALEY INTERCEPTOR FF V8 6.3L 383 CID JENSEN-HEALEY INTERCEPTOR MK II V8 6.3L 383 CID JENSEN-HEALEY INTERCEPTOR MK III V8 6.3L 383 CID JENSEN-HEALEY INTERCEPTOR MK III V8 7.2L 440 CID JENSEN-HEALEY INTERCEPTOR SP V8 7.2L 440 CID JLG INDUSTRIES INC+Aerial Work Platforms 450A Series II Boom Lift w / Ford LRG425 Engine JLG INDUSTRIES INC+Aerial Work Platforms 450AJ Series II Boom Lift w / Ford LRG425 Engine JLG INDUSTRIES INC+Aerial Work Platforms 600A w / Continental TMD27 Engine JLG INDUSTRIES INC+Aerial Work Platforms 600AJ w / Continental TMD27 Engine JLG INDUSTRIES INC+Aerial Work Platforms 600S w / Continental TMD27 Engine JLG INDUSTRIES INC+Aerial Work Platforms 600SJ w / Continental TMD27 Engine JLG INDUSTRIES INC+Aerial Work Platforms 660SJ w / Continental TMD27 Engine JLG INDUSTRIES INC+Aerial Work Platforms 800A w / Ford LRG425 Engine JLG INDUSTRIES INC+Aerial Work Platforms 800AJ w / Ford LRG425 Engine JLG INDUSTRIES INC+Aerial Work Platforms 800S w / Ford LRG425 Engine JLG INDUSTRIES INC+Aerial Work Platforms 860SJ w / Ford LRG425 Engine JOHN DEERE+Sprayers 100 w / HB413 Engine JOHN DEERE+Sprayers 90 w / HB413 Engine JOHN DEERE+Windrowers 2250 w / Chrysler HB225 Engine JOHN DEERE+Windrowers 2320 w / Gas Engine JOHN DEERE+Windrowers 2320 w / John Deere 4219D Engine JOHN DEERE+Windrowers 2420 w / Chrysler Engine JOHN DEERE+Windrowers 800 w / Chrysler HB225 Engine JOHN DEERE+Windrowers 830 w / Chrysler HB225 Engine JOY+Compressors D100S w / Ford 172D Engine KOEHRING+Scat Traks 1050 w / Kubota Engine KOEHRING+Scat Traks 1350 w / Kubota Engine KOEHRING+Scat Traks 1650 w / Kubota Engine KOEHRING+Scat Traks 2150 w / Kubota Engine KOEHRING+Sky Traks 7038 w / Ford Engine KOMATSU+Wheel Loaders 4150 w / Ford DF172 Diesel Engine KOMATSU+Wheel Loaders 4150 w / Ford GF172 Diesel Engine KUBOTA+Excavators KH10 w / Kubota D1101 Engine KUBOTA+Excavators KH170L w / Kubota S2600 Engine KUBOTA+Excavators KX121-3R3 w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3R4 w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3R4A w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3S3 w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3S4 w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3S4A w / Kubota V2203MEBH2 Engine KUBOTA+Excavators KX121-3SS w / Kubota V2203ME2BH2N Engine KUBOTA+Excavators KX161-3SS w / Kubota V2403ME2BH1 Engine KUBOTA+Excavators U45-3 w / Kubota Engine KUBOTA+Generator Sets GV3240 w / Kubota S2800B Engine KUBOTA+Generator Sets GV3240SW w / Kubota S2800B Engine KUBOTA+Generator Sets GV3250QSW w / Kubota F2803B Engine KUBOTA+Generator Sets KJT270FSW w / Kubota F2803 Engine KUBOTA+Generator Sets KJT270FXSW w / Kubota F2803E Engine KUBOTA+Loaders R520S1 w / Kubota V2203M-ERP Engine KUBOTA+Loaders R520S2 w / Kubota V2203M-ERP Engine KUBOTA+Tractors (Including Lawn & Garden) L355SS w / Kubota V1402A Engine KUBOTA+Tractors (Including Lawn & Garden) M4030SU w / Kubota F2402DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M4950 w / Kubota S2800A Engine KUBOTA+Tractors (Including Lawn & Garden) M4950DT w / Kubota S2800A Engine KUBOTA+Tractors (Including Lawn & Garden) M5030DTL w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030L w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030MDT w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030MDTL w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030MF w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030SU w / Kubota S2802DIA Engine KUBOTA+Tractors (Including Lawn & Garden) M5030SUMDT w / Kubota S2802DIA Engine LAFORZA LAFORZA V8 5.0L 302 CID LEHMAN+Marine Models w / Ford 242 Engine LEHMAN+Marine Models w / Ford 254 Engine LEHMAN+Marine Models w / Ford 363 Engine LEHMAN+Marine Models w / Ford 380 Engine LEXUS LX 450 L6 4.5L 4477cc LINCOLN CAPRI V8 6.0L 368 CID LINCOLN CAPRI V8 7.0L 430 CID LINCOLN CONTINENTAL V6 3.8L 232 CID LINCOLN CONTINENTAL V8 5.0L 302 CID LINCOLN CONTINENTAL V8 5.8L 351 CID LINCOLN CONTINENTAL V8 6.6L 400 CID LINCOLN CONTINENTAL V8 7.0L 430 CID LINCOLN CONTINENTAL V8 7.5L 460 CID LINCOLN CONTINENTAL V8 7.6L 462 CID LINCOLN LINCOLN V8 (ALL) LINCOLN LINCOLN V8 7.0L 430 CID LINCOLN MARK SERIES V8 5.0L 302 CID LINCOLN MARK SERIES V8 5.8L 351 CID LINCOLN MARK SERIES V8 6.6L 400 CID LINCOLN MARK SERIES V8 7.5L 460 CID LINCOLN TOWN CAR V8 5.0L 302 CID LINCOLN VERSAILLES V8 5.0L 302 CID LINCOLN VERSAILLES V8 5.8L 351 CID LULL EQUIPMENT 400 w / Chrysler Engine LULL EQUIPMENT 400LS w / Chrysler Engine MAC-DON+Windrower 7000 w / Chrysler H225 Engine MASSEY-FERGUSON+Swathers 755 w / Chrysler Gas Engine MASSEY-FERGUSON+Swathers 775 w / Chrysler Gas Engine MASSEY-FERGUSON+Swathers 785 w / Chrysler Gas Engine MASSEY-FERGUSON+Tractors MF243 w / Perkins Engine MASSEY-FERGUSON+Tractors MF251EX w / Diesel Engine MASSEY-FERGUSON+Tractors MF263 w / Perkins 903.27T Engine MASSEY-FERGUSON+Tractors MF451 w / Perkins 903.27T Engine MAZDA NAVAJO V6 4.0L 4016cc MAZDA PICKUP B2300 L4 2.3L 140 CID MAZDA PICKUP B4000 V6 4.0L 4016cc MERCURY BOBCAT L4 2.3L 140 CID MERCURY CAPRI L4 2.3L 140 CID MERCURY CAPRI L6 3.3L 200 CID MERCURY CAPRI V6 2.6L 159 CID MERCURY CAPRI V6 2.8L 171 CID MERCURY CAPRI V6 3.8L 232 CID MERCURY CAPRI V8 4.2L 255 CID MERCURY CAPRI V8 5.0L 302 CID MERCURY COLONY PARK V8 5.0L 302 CID MERCURY COLONY PARK V8 5.8L 351 CID MERCURY COLONY PARK V8 6.4L 390 CID MERCURY COLONY PARK V8 6.6L 400 CID MERCURY COLONY PARK V8 7.0L 429 CID MERCURY COLONY PARK V8 7.5L 460 CID MERCURY COMET L6 (ALL) MERCURY COMET L6 2.8L 170 CID MERCURY COMET L6 3.3L 200 CID MERCURY COMET L6 4.1L 250 CID MERCURY COMET V8 (ALL) MERCURY COMET V8 4.7L 289 CID MERCURY COMET V8 5.0L 302 CID MERCURY COMET V8 5.8L 351 CID MERCURY COMET V8 6.4L 390 CID MERCURY COMET V8 7.0L 427 CID MERCURY COMET V8 7.0L 428 CID MERCURY COUGAR L4 2.3L 140 CID MERCURY COUGAR L6 3.3L 200 CID MERCURY COUGAR V6 3.8L 232 CID MERCURY COUGAR V8 4.2L 255 CID MERCURY COUGAR V8 4.7L 289 CID MERCURY COUGAR V8 5.0L 302 CID MERCURY COUGAR V8 5.8L 351 CID MERCURY COUGAR V8 5.8L 351C CID MERCURY COUGAR V8 5.8L 351M CID MERCURY COUGAR V8 5.8L 351W CID MERCURY COUGAR V8 6.4L 390 CID MERCURY COUGAR V8 6.6L 400 CID MERCURY COUGAR V8 7.0L 427 CID MERCURY COUGAR V8 7.0L 428 CID MERCURY COUGAR V8 7.0L 428 CID (Cobra Jet) MERCURY COUGAR V8 7.0L 429 CID MERCURY COUGAR V8 7.5L 460 CID MERCURY CYCLONE V8 5.0L 302 CID MERCURY CYCLONE V8 5.8L 351 CID MERCURY CYCLONE V8 7.0L 429 CID MERCURY GRAND MARQUIS V8 4.2L 255 CID MERCURY GRAND MARQUIS V8 5.0L 302 CID MERCURY GRAND MARQUIS V8 5.8L 351 CID MERCURY GRAND MARQUIS V8 5.8L 351M CID MERCURY GRAND MARQUIS V8 5.8L 351W CID MERCURY GRAND MARQUIS V8 6.6L 400 CID MERCURY GRAND MARQUIS V8 7.5L 460 CID MERCURY MARAUDER V8 6.4L 390 CID MERCURY MARAUDER V8 7.0L 429 CID MERCURY MARQUIS L4 2.3L 140 CID MERCURY MARQUIS L6 3.3L 200 CID MERCURY MARQUIS V6 3.8L 232 CID MERCURY MARQUIS V8 4.2L 255 CID MERCURY MARQUIS V8 5.0L 302 CID MERCURY MARQUIS V8 5.8L 351 CID MERCURY MARQUIS V8 5.8L 351M CID MERCURY MARQUIS V8 5.8L 351W CID MERCURY MARQUIS V8 6.4L 390 CID MERCURY MARQUIS V8 6.6L 400 CID MERCURY MARQUIS V8 7.0L 429 CID MERCURY MARQUIS V8 7.5L 460 CID MERCURY MERCURY (ALL) MERCURY MERCURY L6 (ALL) MERCURY MERCURY V8 (ALL) MERCURY MERCURY V8 6.4L 390 CID MERCURY MERCURY V8 6.7L 410 CID MERCURY MERCURY V8 7.0L 427 CID MERCURY MERCURY V8 7.0L 428 CID MERCURY MERCURY V8 7.0L 429 CID MERCURY MERCURY V8 7.0L 430 CID MERCURY METEOR L6 (ALL) MERCURY METEOR V8 (ALL) MERCURY MONARCH L6 3.3L 200 CID MERCURY MONARCH L6 4.1L 250 CID MERCURY MONARCH V8 4.2L 255 CID MERCURY MONARCH V8 5.0L 302 CID MERCURY MONARCH V8 5.8L 351M CID MERCURY MONARCH V8 5.8L 351W CID MERCURY MONTEGO L6 3.3L 200 CID MERCURY MONTEGO L6 4.1L 250 CID MERCURY MONTEGO V8 5.0L 302 CID MERCURY MONTEGO V8 5.8L 351 CID MERCURY MONTEGO V8 5.8L 351M CID MERCURY MONTEGO V8 5.8L 351W CID MERCURY MONTEGO V8 6.4L 390 CID MERCURY MONTEGO V8 6.6L 400 CID MERCURY MONTEGO V8 7.0L 427 CID MERCURY MONTEGO V8 7.0L 428 CID MERCURY MONTEGO V8 7.0L 429 CID MERCURY MONTEGO V8 7.5L 460 CID MERCURY MONTEREY V8 5.8L 351 CID MERCURY MONTEREY V8 6.4L 390 CID MERCURY MONTEREY V8 6.6L 400 CID MERCURY MONTEREY V8 7.0L 428 CID MERCURY MONTEREY V8 7.0L 429 CID MERCURY MONTEREY V8 7.5L 460 CID MERCURY MOUNTAINEER V6 4.0L 244 CID MERCURY POLICE SPECIAL V8 (ALL) MERCURY POLICE SPECIAL V8 7.0L 428 CID MERCURY TOPAZ L4 2.3L 140 CID MERCURY TURNPIKE CRUISER (ALL) MERCURY ZEPHYR L4 2.3L 140 CID MERCURY ZEPHYR L6 3.3L 200 CID MERCURY ZEPHYR V8 4.2L 255 CID MERCURY ZEPHYR V8 5.0L 302 CID MERKUR XR4TI L4 2.3L 2300cc MILLER ELECTRIC+Arc Welders Big 40 w / Continental TM20 Engine MILLER ELECTRIC+Arc Welders Big 40 w / Continental TMD20 Engine MILLER ELECTRIC+Arc Welders Big 40G w / Continental TM20 Engine MILLER ELECTRIC+Arc Welders Big 50 w / Continental TMD27 Engine MILLER ELECTRIC+Arc Welders Trailblazer 44D w / Continental TMD27 Engine NEW HOLLAND+-(Also See Ford)-Balers 1047 Hay Stacker w / Ford 240 Engine NEW HOLLAND+-(Also See Ford)-Balers 1048 Bale Wagon w / Ford V8 361 Engine NEW HOLLAND+-(Also See Ford)-Balers Super 1049 Hay Hauler w / Ford 361HD Engine NEW HOLLAND+Combines, Foragers, Harvesters 1400 w / Ford 172 Engine NEW HOLLAND+Combines, Foragers, Harvesters 1400 w / Ford 300 Gas Engine NEW HOLLAND+Combines, Foragers, Harvesters 975 w / Ford 240 Engine NEW HOLLAND+Combines, Foragers, Harvesters 980 w / Ford 240 Engine NEW HOLLAND+Combines, Foragers, Harvesters 985 w / Ford 300 Gas Engine NEW HOLLAND+Combines, Foragers, Harvesters 990 w / Ford 300 Gas Engine NEW HOLLAND+Combines, Foragers, Harvesters 995 w / Ford Gas Engine NEW HOLLAND+Loaders L454 (Skid Steer) w / Continental TM13 Engine NEW HOLLAND+Loaders L554 (Skid Steer) w / Continental TM20 Gas Engine NEW HOLLAND+Loaders LW50 (Wheel Loader) w / Perkins 700 Series Engine NEW HOLLAND+Loaders LW50.B (Wheel Loader) w / Perkins 700 Series Engine NEW HOLLAND+Speedrowers, Swathers 1100 w / Ford Gas Engine NEW HOLLAND+Windrowers 1114 w / Ford Engine NEW HOLLAND+Windrowers 900 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 901 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 903 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 905 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 907 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 909 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 910 w / Ford 200 Gas Engine NEW HOLLAND+Windrowers 910 w / Ford 256 Diesel Engine NEW HOLLAND+Windrowers 912 w / Ford 200 Gas Engine NISSAN+Buses 60/7D w / Perkins 6.305 Engine NISSAN+Buses 66/7T w / Perkins 6.305 Engine NISSAN+Trucks--Also Refer To Light Duty Applications 5V Campeador w / Perkins 4.203 Engine NISSAN+Trucks--Also Refer To Light Duty Applications E110 w / Perkins 6.305 Engine NISSAN+Trucks--Also Refer To Light Duty Applications E95 w / Perkins 6.305 Engine NISSAN+Trucks--Also Refer To Light Duty Applications F350 w / Perkins 4.165 Engine NISSAN+Trucks--Also Refer To Light Duty Applications L35 w / Perkins 4.165 Engine NORSEMAN+Marine Strato King w / V8 327 Engine OLIVER+Tractors 1250A w / Gas Engine OLIVER+Tractors 1850D w / Diesel Engine OWATONNA-MUSTANG+Windrowers 265 w / Ford 200 Engine PLYMOUTH BARRACUDA L6 (ALL) PLYMOUTH BARRACUDA L6 3.2L 198 CID PLYMOUTH BARRACUDA L6 3.7L 225 CID PLYMOUTH BARRACUDA V8 (ALL) PLYMOUTH BARRACUDA V8 4.5L 273 CID PLYMOUTH BARRACUDA V8 5.2L 318 CID PLYMOUTH BARRACUDA V8 5.9L 360 CID PLYMOUTH BARRACUDA V8 6.3L 383 CID PLYMOUTH DUSTER L6 3.2L 198 CID PLYMOUTH DUSTER L6 3.7L 225 CID PLYMOUTH DUSTER V8 5.2L 318 CID PLYMOUTH DUSTER V8 5.6L 340 CID PLYMOUTH FURY L6 3.7L 225 CID PLYMOUTH FURY V8 5.2L 318 CID PLYMOUTH GTX V8 7.0L 426 CID PLYMOUTH GTX V8 7.2L 440 CID PLYMOUTH PLYMOUTH L6 (ALL) PLYMOUTH PLYMOUTH V8 (ALL) PLYMOUTH PLYMOUTH V8 5.2L 318 CID PLYMOUTH PLYMOUTH V8 7.0L 426 CID PLYMOUTH SATELLITE L6 3.7L 225 CID PLYMOUTH SCAMP L6 3.2L 198 CID PLYMOUTH SCAMP L6 3.7L 225 CID PLYMOUTH VALIANT L6 2.8L 170 CID PLYMOUTH VALIANT L6 3.2L 198 CID PLYMOUTH VALIANT L6 3.7L 225 CID PLYMOUTH VALIANT V8 4.5L 273 CID PLYMOUTH VALIANT V8 5.2L 318 CID PLYMOUTH LIGHT TRUCKS TRAIL DUSTER L6 3.7L 225 CID PLYMOUTH LIGHT TRUCKS TRAIL DUSTER V8 5.2L 318 CID PLYMOUTH LIGHT TRUCKS TRAIL DUSTER V8 5.9L 360 CID PLYMOUTH LIGHT TRUCKS TRAIL DUSTER V8 6.6L 400 CID PLYMOUTH LIGHT TRUCKS TRAIL DUSTER V8 7.2L 440 CID PLYMOUTH LIGHT TRUCKS VAN PB100/PB150 L6 3.7L 225 CID PLYMOUTH LIGHT TRUCKS VAN PB100/PB150 V8 5.2L 318 CID PLYMOUTH LIGHT TRUCKS VAN PB100/PB150 V8 5.9L 360 CID PLYMOUTH LIGHT TRUCKS VAN PB100/PB150 V8 6.6L 400 CID PLYMOUTH LIGHT TRUCKS VAN PB100/PB150 V8 7.2L 440 CID PLYMOUTH LIGHT TRUCKS VAN PB200/PB250 L6 3.7L 225 CID PLYMOUTH LIGHT TRUCKS VAN PB200/PB250 V8 5.2L 318 CID PLYMOUTH LIGHT TRUCKS VAN PB200/PB250 V8 5.9L 360 CID PLYMOUTH LIGHT TRUCKS VAN PB200/PB250 V8 6.6L 400 CID PLYMOUTH LIGHT TRUCKS VAN PB200/PB250 V8 7.2L 440 CID PLYMOUTH LIGHT TRUCKS VAN PB300/PB350 L6 3.7L 225 CID PLYMOUTH LIGHT TRUCKS VAN PB300/PB350 V8 5.2L 318 CID PLYMOUTH LIGHT TRUCKS VAN PB300/PB350 V8 5.9L 360 CID PLYMOUTH LIGHT TRUCKS VAN PB300/PB350 V8 6.6L 400 CID PLYMOUTH LIGHT TRUCKS VAN PB300/PB350 V8 7.2L 440 CID PORSCHE 914 H6 2.0L 1971cc RANDELL+Sprayer Models w / Ford V8 Engine RENAULT V.I.+Trucks JP12 w / Renault 798 Engine RENAULT V.I.+Trucks JP7 w / Renault 798 Engine ROVER 2000 TC AND SC L4 2.0L 1978cc ROVER 2200 TC AND SC All Models SELLICK+Lift Trucks SG50 w / Continental TM27 Engine SELLICK+Lift Trucks SG60 w / Continental TM27 Engine SKY TRAK INTERNATIONAL+Equipment 7038 w / Ford Engine SUNBEAM TIGER 4261cc V8 SWINGER+Loaders 110 w / Continental TM27 Engine SWINGER+Loaders 180 w / Continental TM27 Engine SWINGER+Loaders 2000 w / Continental TMD27 Engine SWINGER+Loaders 2000AG w / Continental TMD27 Engine TARGET+Concrete Saws Q1200 w / Continental TM27 Gas Engine TARGET+Concrete Saws Quanta w / Continental Engine TCI+Fork Lifts, Loaders Herculift w / Ford Engine TCI+Fork Lifts, Loaders Herculift 60 w / Ford Engine TCI+Fork Lifts, Loaders Super Challenger w / Ford Engine TEREX+Aerial Lifts, Booms, Cranes TX5519 Telescopic Boom w / Perkins 700 Series Engine TEREX+Lift Trucks TX51-19M w / Perkins 700 Series (2.9L) Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T120C w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T25 w / Continental F163 Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30 w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30B w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30B w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30B w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30C w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T30C w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60 w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60B w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60B w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60B w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60C w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts T60D w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts TC30 w / Continental F163 Engine TOWMOTOR+--Also See Caterpillar-- Forklifts TC60C w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts TC60C w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V100 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V100F w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V150 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V155B w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30B w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30B w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30C w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30C w / Continental F227 Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V30C w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60 w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60 w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60B w / Continental Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60B w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60D w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V60E w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V80C w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V80D w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts V90E w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts VC60C w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts VC60C w / Continental F227 Engine TOWMOTOR+--Also See Caterpillar-- Forklifts VC60C w / Perkins Engine TOWMOTOR+--Also See Caterpillar-- Forklifts VC60D-SA w / Caterpillar 1404 Gas Engine TOWMOTOR+--Also See Caterpillar-- Forklifts VC60D-SA w / Perkins Engine TOYOTA CRESSIDA L6 2.8L 2759cc TOYOTA CROWN L6 2.3L 2253cc(2M) TOYOTA CROWN L6 2.6L 2563cc TOYOTA LAND CRUISER L4 3.4L Diesel TOYOTA LAND CRUISER L6 3.9L 3878cc TOYOTA LAND CRUISER L6 4.0L 3956cc TOYOTA LAND CRUISER L6 4.2L 4230cc(2F) TOYOTA LAND CRUISER L6 4.5L 4476cc TOYOTA MARK II L6 2.3L 2253cc(2M) TOYOTA MARK II L6 2.6L 2563cc TOYOTA PICKUP L4 2.2L 2188cc Diesel TOYOTA PICKUP L4 2.4L 2446 Diesel TOYOTA PICKUP L4 2.4L 2446 Turbo Diesel TOYOTA PICKUP L6 (ALL) TOYOTA+Fork Lifts 02-2FD10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FD14 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FD15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FD20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FD30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FDC20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FDC25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-2FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 02-2FG32 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 02-2FG35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 02-2FG40 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 02-2FGC30 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 02-2FGE30 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 02-3FD10-18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-4FD20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-4FD23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-4FD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-5FD10 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD14 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD15 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD18 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD20 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD23 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD25 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD28 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-5FD30 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 02-FD10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FD14 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FD15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FD18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FD20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 02-FD23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FDC15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FDC18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FDC20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FDC20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 02-FDC25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FDC30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FG10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 02-FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 02-FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 02-FGC30 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 02-FGL18 w / Toyota 4P LP Engine TOYOTA+Fork Lifts 02-FGL23 w / Toyota 4P LP Engine TOYOTA+Fork Lifts 02-SD10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 02-SG7 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 04-2FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 04-2FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 04-2FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 2FD10 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FD14 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FD15 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FD20 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FD25 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FD30 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FDC20 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FDC25 w / Toyota 2P Diesel Engine TOYOTA+Fork Lifts 2FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 2FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 2FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 2FG28 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 2FG30 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 2FG32 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 2FG35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 2FG40 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 2FGC30 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 2TD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD10 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 3FD10-18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD14 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD14 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 3FD15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD15 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 3FD18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD18 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 3FD20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FD50 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FD60 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FG33 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FG35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FG40 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FG50 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FG60 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts 3FGC30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 3FGC30 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 3TD45 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts 3TG35 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts 40-2FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-2FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FGCH20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-3FGCH25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-4FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FG10 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts 40-FG10 w / Toyota 5R Diesel Engine TOYOTA+Fork Lifts 40-FG14 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts 40-FG14 w / Toyota 5R Diesel Engine TOYOTA+Fork Lifts 40-FG15 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts 40-FG15 w / Toyota 5R Diesel Engine TOYOTA+Fork Lifts 40-FG18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FG23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FGC18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FGC20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FGC23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 40-FGC25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-2FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-2FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FGCH20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-3FGCH25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG10 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG14 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG15 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-4FG25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FG18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FG23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FGC18 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FGC20 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FGC23 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 42-FGC25 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts 4FD20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FD23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FD25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG10 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG14 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG14 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG15 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG18 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG20 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG23 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FG25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FG25 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FGC20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FGC20 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 4FGC25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 4FGC25 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts 5FD10 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FD14 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FD15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FD18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FD20 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 5FD23 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 5FD25 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 5FD28 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 5FD30 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts 5FD33 w / Toyota 11Z Diesel Engine TOYOTA+Fork Lifts 5FD35 w / Toyota 11Z Diesel Engine TOYOTA+Fork Lifts 5FD35 w / Toyota 3F Diesel Engine TOYOTA+Fork Lifts 5FD38 w / Toyota 11Z Diesel Engine TOYOTA+Fork Lifts 5FD38 w / Toyota 3F Diesel Engine TOYOTA+Fork Lifts 5FD40 w / Toyota 3F Diesel Engine TOYOTA+Fork Lifts 5FD45 w / Toyota 11Z Diesel Engine TOYOTA+Fork Lifts 5FD45 w / Toyota 3F Diesel Engine TOYOTA+Fork Lifts 5FDC20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FDC25 w / Hercules G1600 Engine TOYOTA+Fork Lifts 5FDC25 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FDC30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FGC18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FGC28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FGC30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts 5FGF10 w / Toyota 1DZ Diesel Engine TOYOTA+Fork Lifts 5FGF14 w / Toyota 1DZ Diesel Engine TOYOTA+Fork Lifts 5FGF15 w / Toyota 1DZ Diesel Engine TOYOTA+Fork Lifts 5FGF18 w / Toyota 1DZ Diesel Engine TOYOTA+Fork Lifts 5FGF20 w / Toyota 1DZ Diesel Engine TOYOTA+Fork Lifts 60-2FG20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-2FG25 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-3FGCH20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-3FGCH25 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-4FG10 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-4FG20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-4FGC20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-FG18 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-FGC18 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 60-FGL23 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-2FG20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-3FG20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-3FGCH20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-4FG10 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-4FG20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-4FGC20 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-FG18 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-FG23 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 62-FGC18 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts 6GFDU30 w / Toyota 1Z Diesel Engine TOYOTA+Fork Lifts FD10-18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FD10-23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FD18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FD18 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FD23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FD23 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FD28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FD28 w / Toyota 2JT Diesel Engine TOYOTA+Fork Lifts FD28 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts FD28 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FD28 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts FD28 w / Toyota 5R Diesel Engine TOYOTA+Fork Lifts FD45 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts FD70 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts FDC15 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FDC18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FDC23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FDC23 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts FDC28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FDC28 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FDC30 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FDC33 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FDC35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FDC40 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FDC45 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FDE35 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts FG18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FG18 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FG23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FG23 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FG28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FG28 w / Toyota 2JT Diesel Engine TOYOTA+Fork Lifts FG28 w / Toyota 4P Diesel Engine TOYOTA+Fork Lifts FG28 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FG28 w / Toyota 5P Gas Engine TOYOTA+Fork Lifts FG28 w / Toyota 5R Diesel Engine TOYOTA+Fork Lifts FG30 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FG45 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FGC18 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FGC18 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FGC23 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FGC23 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FGC28 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts FGC28 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts FGC30 w / Toyota 5R Gas Engine TOYOTA+Fork Lifts FGC33 w / Toyota 2F Diesel Engine TOYOTA+Fork Lifts FGC33 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FGC35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FGC40 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FGC45 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts FGE35 w / Toyota 2F Gas Engine TOYOTA+Fork Lifts SD7 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts SDK6 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts SGK6 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts TD20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts TD20 w / Toyota 5P Diesel Engine TOYOTA+Fork Lifts TG20 w / Toyota 2J Diesel Engine TOYOTA+Fork Lifts TG20 w / Toyota 5P Diesel Engine TOYOTA+Skid Steer Loaders SDK7 w / Toyota 2J Diesel Engine TOYOTA+Skid Steer Loaders SDK8 w / Toyota 2J Diesel Engine VERMEER+Equipment 1230 Utility w / Ford LSG423 Engine VERMEER+Equipment 1250 w / Ford 300GF Engine VERMEER+Equipment 1250 Utility w / Ford LSG423 Engine VERMEER+Equipment 1600 Chipper w / Ford Gas Engine VERMEER+Equipment 6003C w / Ford 192 Diesel Engine VERMEER+Equipment M440 w / Ford 134 Gas Engine VERMEER+Equipment M440 w / Ford 172 Engine VERMEER+Equipment M450 w / Ford 172 Engine VERMEER+Equipment M450 w / Ford 192 Diesel Engine VERMEER+Equipment M450 w / Ford 192 Gas Engine VERMEER+Equipment M455 w / Ford 192 Diesel Engine VERMEER+Equipment M455 w / Ford 192 Gas Engine VERMEER+Equipment M470 w / Ford Engine VERMEER+Equipment M475 w / Ford 192 Gas Engine VERMEER+Equipment M50 w / Ford 172 Gas Engine VERMEER+Equipment M50H w / Ford 192 Diesel Engine VERMEER+Equipment M50H w / Ford 192 Gas Engine VERMEER+Equipment SO1080A w / Ford 192 Diesel Engine VERMEER+Equipment T400 w / Ford 192 Diesel Engine VERMEER+Equipment T400 w / Ford Gas Engine VERMEER+Equipment T400A w / Ford 192 Diesel Engine VERMEER+Equipment T600 w / Ford 240 Gas Engine VERMEER+Equipment T600A w / Ford 240 Gas Engine VERMEER+Equipment T600B w / Ford 240 Gas Engine VERMEER+Equipment V454 w / Ford Gas Engine VERSATILE+Swathers 300 w / Ford Engine VERSATILE+Swathers 330 w / Ford Engine VERSATILE+Swathers 400 w / Ford Engine VERSATILE+Swathers 440 w / Ford Engine VERSATILE+Swathers 4400 w / Diesel Engine VERSATILE+Swathers 4400 w / Gas Engine VERSATILE+Swathers 5000 w / Ford Engine VERSATILE/Buhler+Tractors 400 w / Ford 200 Engine VERSATILE/Buhler+Tractors SP300 w / Ford 2000cc Engine WALDON+Wheel Loaders 4100 w / Continental TM2.7 Engine WALDON+Wheel Loaders 4500B w / Continental TM2.7 Engine WAYNE+Crane-Sweepers 974 w / Chrysler Engine WAYNE+Crane-Sweepers 984 w / 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What does a purolator oil filter PL20049 fit?

Purolator Pure One Oil Filter Part Number: PL20049 This product fits the following vehicles - click on a vehicle to see detailed engine information. AVANTI back to top 1984 - 1990 II BUICK back to top 1973 - 1975 APOLLO 1977 - 1981 REGAL 1977 - 1980 CENTURY 1991 - 1993 ROADMASTER 1970 LESABRE 1968 - 1971 SKYLARK 1978 LESABRE 1977 - 1979 SKYLARK 1982 LESABRE 1968 - 1969 SPECIAL CADILLAC back to top 1990 - 1993 FLEETWOOD CHECKER back to top 1969 DELUXE 1968 - 1982 MARATHON CHEVROLET back to top 1962 - 1975 BEL AIR 1975 - 1984 K10 1962 - 1972 BISCAYNE 1964 - 1965 K10 PICKUP 1969 - 1982 BLAZER 1968 - 1974 K10 PICKUP 1969 - 1972 BROOKWOOD 1968 - 1980 K10 SUBURBAN 1975 - 1984 C10 1975 - 1986 K20 1963 - 1966 C10 PICKUP 1964 - 1965 K20 PICKUP 1968 - 1974 C10 PICKUP 1968 - 1974 K20 PICKUP 1968 - 1980 C10 SUBURBAN 1968 - 1974 K20 SUBURBAN 1975 - 1986 C20 1980 - 1982 K20 SUBURBAN 1963 - 1965 C20 PICKUP 1977 - 1986 K30 1968 - 1974 C20 PICKUP 1968 - 1974 K30 PICKUP 1968 - 1974 C20 SUBURBAN 1969 - 1972 KINGSWOOD 1980 - 1982 C20 SUBURBAN 1973 - 1976 LAGUNA 1975 - 1986 C30 1964 - 1967 MALIBU 1963 - 1965 C30 PICKUP 1973 - 1983 MALIBU 1968 - 1974 C30 PICKUP 1970 - 1988 MONTE CARLO 1967 - 1997 CAMARO 1975 - 1979 MONZA 1967 - 1993 CAPRICE 1962 - 1967 NOVA 1964 - 1973 CHEVELLE 1969 - 1979 NOVA 1962 - 1968 CHEVY II 1975 - 1980 P10 1968 - 1982 CORVETTE 1968 - 1974 P10 VAN 1984 - 1991 CORVETTE 1975 - 1989 P20 1964 - 1977 EL CAMINO 1968 - 1974 P20 VAN 1979 - 1987 EL CAMINO 1975 - 1989 P30 1975 - 1984 G10 1968 - 1974 P30 VAN 1964 - 1974 G10 VAN 1987 - 1988 R20 1975 - 1984 G20 1987 - 1988 R30 1967 - 1974 G20 VAN 1963 - 1967 SUBURBAN 1975 - 1979 G30 1969 - 1972 TOWNSMAN 1981 - 1984 G30 1987 V20 1970 - 1974 G30 VAN 1987 - 1988 V30 1962 - 1985 IMPALA 1971 - 1977 VEGA GMC back to top 1964 - 1965 1000 SERIES 1969 - 1980 K15/K1500 SUBURBAN 1964 - 1965 1500 SERIES 1979 - 1984 K1500 1975 - 1978 C15 1975 - 1978 K25 1966 C15/C1500 PICKUP 1969 - 1974 K25/K2500 PICKUP 1969 - 1974 C15/C1500 PICKUP 1969 - 1975 K25/K2500 SUBURBAN 1969 - 1980 C15/C1500 SUBURBAN 1980 - 1982 K25/K2500 SUBURBAN 1979 - 1984 C1500 1984 - 1986 K25/K2500 SUBURBAN 1975 - 1978 C25 1979 - 1986 K2500 1966 C25/C2500 PICKUP 1977 - 1978 K35 1969 - 1974 C25/C2500 PICKUP 1969 - 1974 K35/K3500 PICKUP 1969 - 1975 C25/C2500 SUBURBAN 1979 - 1986 K3500 1980 - 1982 C25/C2500 SUBURBAN 1975 - 1978 P15 1984 - 1986 C25/C2500 SUBURBAN 1967 - 1974 P15/P1500 VAN 1979 - 1986 C2500 1979 - 1980 P1500 1975 - 1978 C35 1975 - 1978 P25 1969 - 1974 C35/C3500 PICKUP 1967 - 1974 P25/P2500 VAN 1979 - 1986 C3500 1979 - 1987 P2500 1978 - 1987 CABALLERO 1989 P2500 1964 - 1966 G1000 SERIES 1975 - 1978 P35 1975 - 1978 G15 1967 - 1974 P35/P3500 VAN 1967 - 1974 G15/G1500 VAN 1979 - 1989 P3500 1979 - 1984 G1500 1963 - 1965 PB1000 SERIES 1975 - 1978 G25 1966 PB15 SERIES 1967 - 1974 G25/G2500 VAN 1966 PB25 SERIES 1979 - 1984 G2500 1963 PB2500 SERIES 1975 - 1978 G35 1987 - 1988 R2500 1971 - 1974 G35/G3500 VAN 1987 - 1988 R3500 1979 G3500 1971 - 1972 SPRINT 1982 - 1984 G3500 1975 - 1977 SPRINT 1970 - 1982 JIMMY 1963 - 1967 SUBURBAN 1975 - 1978 K15 1987 V2500 1966 K15/K1500 PICKUP 1987 - 1988 V3500 1969 - 1974 K15/K1500 PICKUP OLDSMOBILE back to top 1977 CUSTOM CRUISER 1975 - 1976 CUTLASS SUPREME 1991 - 1992 CUSTOM CRUISER 1978 - 1980 CUTLASS SUPREME 1967 - 1971 CUTLASS 1982 CUTLASS SUPREME 1975 - 1976 CUTLASS 1977 DELTA 88 1978 - 1980 CUTLASS 1982 DELTA 88 1978 - 1980 CUTLASS CALAIS 1966 - 1970 F85 1978 - 1980 CUTLASS CRUISER 1973 - 1979 OMEGA 1982 CUTLASS CRUISER 1976 - 1979 STARFIRE PONTIAC back to top 1975 - 1977 ASTRE 1970 - 1980 LEMANS 1983 - 1986 BONNEVILLE 1983 - 1986 PARISIENNE 1970 - 1997 FIREBIRD 1977 - 1979 PHOENIX 1978 - 1980 GRAND AM 1976 - 1979 SUNBIRD 1975 - 1980 GRAND LEMANS 1970 TEMPEST 1978 - 1980 GRAND PRIX 1971 - 1977 VENTURA 1983 - 1987 GRAND PRIX STUDEBAKER back to top 1965 - 1966 COMMANDER 1966 DAYTONA 1965 - 1966 CRUISER 1966 WAGONAIRE


What has the author Joss Whedon written?

Joss Whedon has written: 'The Works Of Charles Dickens V30' 'Pickwick Paper' -- subject(s): Fiction, Comic Fiction, Manners and Customs, Coach travel 'Dickens in Europe' -- subject(s): Travel, English Novelists, Description and travel, Biography 'Monica and the sweetest song' -- subject(s): Bands (Music), Juvenile fiction, Fiction, Competitions, Interpersonal relations, Dating (Social customs), Best friends, Competition (Psychology) 'Sabrina goes to Rome' -- subject(s): Fiction, Witches, Sabrina the Teenage Witch (Fictitious character) 'Reality check' -- subject(s): Fiction, Sabrina the Teenage Witch (Fictitious character), Witches 'American Notes and Pictures From Italy (New Oxford Illustrated Dickens)' 'Old Curiosity Shop-V2' 'Captain Boldheart' 'A Christmas Carol' -- subject(s): Fiction, Literature, OverDrive 'Buffy' 'Cycle of hatred' 'Oliver Twist - Charles Dickens' 'David Copperfield Volume I' 'UltraViolet' -- subject(s): Vampires, Fiction 'Great expectations' -- subject(s): Social life and customs, Young men, Ex-convicts, Benefactors, Working class, Fiction 'Angel, Scriptbook, Issue #2' 'Comp Ghost Stories of' 'Ein Weihnachtslied in Prosa' 'Le grillon du foyer. Le naufrage. Cantique de Noel' 'Essential Dickens CD' 'Off to See the Wizard (Sabrina, the Teenage Witch)' 'Advice about family' -- subject(s): Fiction, Families, Interpersonal relations, Juvenile literature, Families in fiction, Family life, Interpersonal relations in fiction, Family life in fiction, Hispanic Americans in fiction, Hispanic Americans '\\' 'Our Mutual Friend (English Library)' 'Hard Times' 'The Pickwick Papers Volume I' -- subject(s): Fiction, Comic Fiction, Manners and Customs, Coach travel 'Works of Charles Dickens' 'Firefly: The Official Companion' 'Angel' -- subject(s): Fiction, Vampires, Vampires in fiction, California in fiction, Angel (Television program : 1999-2004), Angel (Television program : 1999- ) 'Mist and stone' -- subject(s): Occult fiction, Witches, Fiction, Paranormal fiction 'Christmas Carol and Cricket on the Hearth' 'The Lamplighter, and To Be Read at Dusk' 'Oliver Twist (New Century Readers)' 'Mr. Dickens goes to the play' -- subject(s): Acting, Theater, History, Performing arts, Knowledge, London 'Gameprey (Tom Clancy's Net Force' 'A Christmas carol in prose' 'Astonishing X-Men, Vol. 2' 'Oliver Twist' 'A Christmas carol and other holiday tales' -- subject(s): Fiction, Ebenezer Scrooge (Fictitious character), Sick children, Poor families, Misers 'Daily pickings from Pickwick' 'David Copperfield Tome I et II' 'Boneslicer : the quest for the trilogy' -- subject(s): Protected DAISY 'Book of Christmas Stories' 'Charles Dickens' Works on CD ROM' 'A Christmas Carol' 'Great Expectations With Readers Guide' 'John Jasper's Secret' -- subject(s): Accessible book 'To Be Read At Dusk' -- subject(s): Accessible book, OverDrive, Classic Literature, Fiction 'Once More with Feeling' 'Obsidian fate' -- subject(s): Juvenile fiction, Tezcatlipoca (Aztec deity), Buffy the Vampire Slayer (Fictitious character) 'The wisdom of war' -- subject(s): Fiction, Vampires, Buffy the Vampire Slayer (Fictitious character), Teenagers, Sea monsters 'Resident Evil' -- subject(s): Biological weapons, Fiction, Science fiction, Zombies 'The favorite works of Charles Dickens' -- subject(s): Fiction, History 'Great Expectations Readalong (Illustrated Classics Collection 5)' 'A Tale of Two Cities' 'A Christmas Carol With Connections (HRW library)' 'Some rogues and vagabonds of Dickens' -- subject(s): Rogues and vagabonds, Characters 'Dead end kids' -- subject(s): American Young adult fiction, Comic books, strips, Comic books, strips, etc, Fiction, Runaways (Fictitious characters), Science fiction comic books, strips, Young adult fiction, American 'A Tale of Two Cities' 'What Christmas is as we grow older ..' -- subject(s): English Christmas stories, Christmas stories, Imprints, Gift books (Annuals, etc.) 'The Poems Of Adelaide A. Proctor' 'Wicked Spellbound (Wicked)' 'Grosze Erwartungen' -- subject(s): Accessible book 'Fray' -- subject(s): Street children, Women heroes, Brothers and sisters, Melaka Fray (Fictitious character), Fantasy ., Comic book strips, Demons, Comic books, strips, Dystopias, Vampires 'Buffy the Vampire Slayer Season 8, Volume 1' -- subject(s): graphic novel, action adventure, vampires 'Charles Dicken's A Christmas Carol illustrated by Arthur Rackham' 'The Dickens theatrical reader' -- subject(s): Theater 'The Pickwick Papers, Vol. 2' 'Charles Dickens' -- subject(s): Social life and customs, Fiction 'Making Love' 'The New Oxford illustrated Dickens' 'Master Humphrey's clock and A child's history of England' -- subject(s): History, Juvenile literature 'Los Papeles Postumos Del Club Pickwick / The Pickwick Papers' 'Watcher's Guide 2' 'Sins of the Father' -- subject(s): Fiction, Buffy the Vampire Slayer (Fictitious character), Vampires, Horror tales 'A Christmas carol: the original manuscript' -- subject(s): Ebenezer Scrooge (Fictitious character), English Manuscripts, Facsimiles, Fiction, Manuscripts, English, Misers, Poor families, Sick children 'Classics Illustrated' 'Buffy contre les vampires, tome 6' 'Nicholas Nickleby Volume V' 'Blood Lines (Military NCIS)' -- subject(s): Fiction, United States. Naval Criminal Investigative Service, Will Coburn (Fictitious character), Murder, Investigation, United States 'Scarabian nights' 'A dictionary of the University of Oxford' -- subject(s): University of Oxford, University of Cambridge 'Shadow of Honor (Tom Clancy's Net Force; Young Adults, No. 8)' -- subject(s): Computer hackers, Fiction 'Monica and the bratty stepsister' -- subject(s): Stepsisters, Fiction 'Great expectations' -- subject(s): Social life and customs, Young men, Ex-convicts, Benefactors, Working class, Fiction 'The Old Curiosity Shop (Cleartype Classic)' 'Oliver Twist; or, the Parish boy's Progress, by \\' 'Advice about school' -- subject(s): Fiction, Middle school students, Juvenile literature, Conduct of life, Middle schools, Hispanic Americans, Schools 'The greatest show on earth' -- subject(s): Accessible book 'The complete Mystery of Edwin Drood' -- subject(s): Fiction, Missing persons, Triangles (Interpersonal relations), Choral conductors, Separation (Psychology) 'A Christmas carol and The cricket on the hearth' -- subject(s): Ebenezer Scrooge (Fictitious character), Sick children, Fiction, Poor families, Misers 'Winner Take All, No. 30' 'Laws of Nature (Prowlers)' 'Dombey and Son Volume II of IV' 'Wellerisms from \\' 'A Christmas carol ; The chimes ; The cricket on the hearth' -- subject(s): Social life and customs, English Christmas stories, Fiction 'Monica and the school spirit meltdown' -- subject(s): Schools, Loyalty, Middle schools, Fiction 'Angel devoid' -- subject(s): Angel devoid 'Under Fallen Stars' 'Son of the shadows' -- subject(s): Fiction, Magic, Good and evil, OverDrive, Fantasy, Paranormal, Romance 'Pool problem' -- subject(s): Fiction, Hispanic Americans, Decision making, Swimming pools, OverDrive, Juvenile Fiction 'Chistmas books' 'Penguin Readers Level 3' 'The Two Apprentices' 'Bleak House' -- subject(s): Young women, Fiction, Illegitimate children, Inheritance and succession, Guardian and ward 'A Christmas carol' -- subject(s): Ebenezer Scrooge (Fictitious character), Sick children, English Manuscripts, Poor families, Misers, Facsimiles, Fiction 'Charmed, tome 10' 'Spaceship Blue Typhoon' 'Oz' -- subject(s): Fiction, Werewolves, Buffy the Vampire Slayer (Fictitious character) 'Six Short Stories' 'Notes on Charles Dickens' Great expectations' 'Immortal' -- subject(s): Fiction, Vampires, Buffy the Vampire Slayer (Fictitious character) 'No thoroughfare & other stories' -- subject(s): Social life and customs, Fiction 'House of cards' 'The Complete Works of Charles Dickens: (in Sixteen Volumes) with Photogravure and Half Tone ..' -- subject(s): Accessible book 'Edwin Drood and miscellaneous' 'Mudfrog And Other Sketches' 'A Tale Of Two Cities' 'The comedy of Charles Dickens' -- subject(s): Accessible book 'Dombey and Son- Volume 1' 'Oliver Twist' -- subject(s): Social conditions, Orphans, Juvenile fiction 'Xena: Warrior Princess' 'The Uncommercial Traveler' 'Xiao qi cai shen' -- subject(s): Fiction, Juvenile fiction, Ebenezer Scrooge (Fictitious character), Social life and customs, Christmas, Ghosts 'Mistaken identity' -- subject(s): Psychokinesis, Fiction 'Apocalypse Burning (Left Behind - Tekno Military)' 'Tales of the Slayer' 'Spying Eyes' 'Papeles Postumos Del Club Pickwick/ Posthumous Papers of the Pickwick Club' 'Time of Your Life' 'Tempted Champions' 'Charmed, Zauberhafte Schwestern, Wolfsseele' 'Santa girls' -- subject(s): Twins, Juvenile fiction, Christmas stories, Fiction, Christmas 'The Ares alliance' 'Christmas Books gift set' 'Verkehr mit der firma Dombey & Sohn' 'Barnaby Rudge Part 2 of 2' 'The Gatekeeper Trilogy, Book Three' -- subject(s): Fiction, Monsters, Buffy the Vampire Slayer (Fictitious character) 'Die nachgelassenen Papiere des Pickwick-Clubbs' 'Oliver Twist ; Great expectations ; A tale of two cities' -- subject(s): Fiction, History, Social life and customs 'Whatever!' -- subject(s): Fiction, Middle schools, Clubs, Schools, Friendship, Hispanic Americans, OverDrive, Juvenile Fiction, Young Adult Fiction 'Star Trek: TNG' 'A Christmas Carol (Watermill Classic)' 'Oliver Twist, Simplified Edition' 'Christmas \\' 'The Postumous papers of the Pickwick club' 'The evil within' -- subject(s): Supernatural, Boarding schools, Schools, Ghosts, Cliques (Sociology), Spirit possession, Fiction 'The works of Charles Dickens' -- subject(s): Accessible book 'Unleashed' -- subject(s): Orphans, High schools, Fiction, Werewolves, Grandfathers, Supernatural, Household Moving, Schools 'Harvest Moon (Sabrina, the Teenage Witch)' 'Dream boat' -- subject(s): Magic, Witches, Ocean travel, Sabrina the Teenage Witch (Fictitious character), Trolls, Fiction 'A Christmas Carol (R)' 'Good Stories for Great Holidays' 'Barnaby Rudge Part 1 Of 2' 'Charles Dicken's stories from the Christmas numbers of \\' -- subject(s): Accessible book 'Great Expectations (Literature Connections)' 'LA Historia De Nadie Y Otros Cuentos' 'Christmas Books and Stories' -- subject(s): Christmas stories 'Oliver Twist' -- subject(s): Fiction, Literature, OverDrive 'Life and adventures of Nicholas Nickleby' -- subject(s): Young men, Theatrical companies, Fiction, Poor families, Boarding schools 'Camp Can't (Claudia Cristina Cortez)' 'Immortal' -- subject(s): Fiction, Vampires, Vampires in fiction, Buffy the Vampire Slayer (Fictitious character), Teenage girls, Teenage girls in fiction 'Serenity' -- subject(s): Graphic novel, Science fiction 'Oliver Twist - Grad 2 -' 'Sketches by Boz Volume III of III[EasyRead Comfort Edition]' 'Revenant' -- subject(s): Fiction, Vampires in fiction, Buffy the Vampire Slayer (Fictitious character), Vampires 'Hired or fired?' -- subject(s): Fiction, Middle schools, Work, Hispanic Americans, Schools, OverDrive, Juvenile Fiction 'Spark and Burn' -- subject(s): Fiction, Vampires, Teenage girls, Buffy the Vampire Slayer (Fictitious character), Good and evil 'Gu xing xue lei =' 'Works of Charles Dickens' 'Bad luck bridesmaid' -- subject(s): Fiction, Hispanic Americans, Weddings, OverDrive, Juvenile Fiction 'The Empire Strikes Back' 'Pickwick-klubbens efterlamnade papper' 'Nicholas Nickleby (Everyman's Library Classics S.)' 'Barnaby Rudge Volume I of III' 'Ghost Stories' 'Astonishing X-Men' -- subject(s): Comic books, strips, Comic books, strips, etc, Fiction, Good and evil, Graphic novels, Heroes, Mutation (Biology), Science fiction comic books, strips, X-Men (Fictitious characters) 'The sea devil's eye' 'Charles Dickens and his Jewish characters' -- subject(s): Jews in literature 'Dickens' Hard times' 'American notes ; and Reprinted pieces' -- subject(s): Social life and customs, Description and travels 'Nicholas Nickleby Volume II' 'Sheng dan ge sheng' 'Damned' -- subject(s): Guerrilla warfare, Horror stories, Supernatural, Vampires, Fiction 'Rover' -- subject(s): Fiction, Libraries, Librarians, Libraries in fiction, Librarians in fiction 'L'histoire des portes du temps' 'Beware what you wish' -- subject(s): Fiction, Witches 'Girls from Dickens' -- subject(s): Girls in literature, Juvenile literature 'Life of Our Lord (Nelson Audio Library)' 'Aliens. Sinfonie des Schreckens' 'Alex, You're Glowing (The Secret World of Alex Max, No. 1)' 'The gathering dark' -- subject(s): Vampires in fiction, Vampires, Fiction 'The child's Dickens' 'Les Grandes Esperances Le Mystere Dedwin' 'Charles Dickens' a Christmas carol' -- subject(s): Fiction, Illustrations, Ebenezer Scrooge (Fictitious character), Sick children, Poor families, English Ghost stories, English Christmas stories, Misers 'Masterpieces from Charles Dickens' 'Species' -- subject(s): sci fi, fantasy 'Pirate Pandemonium' 'The Angel Chronicles, Volume 1' -- subject(s): Horror stories, Fiction, Revenge, Vampires 'Master Humphrey's clock and Pictures from Italy' 'The black road' 'Rough Cut' 'American notes, Master Humphrey's Clerk' 'Bible Word Search #4' 'First name reverse dictionary' -- subject(s): Dictionaries, Personal Names 'Four walls' -- subject(s): Crime scene searches, Fiction, Forensic scientists, Investigation, Murder 'Mrs. Gamp with the Strolling Players: An Unfinished Sketch' -- subject(s): Accessible book 'Carol Nadolig mewn rhyddiaeth' 'Ku hai gu chu =' -- subject(s): Fiction, Robbers and outlaws, Orphans 'Lethal Interface' 'The Book of Fours' 'A dog's life' -- subject(s): Fiction, Sisters, Full house (Television program) 'Barnaby Rudge (New Oxford Illustrated Dickens)' 'Christmas Carol, Stage 2' 'Charles Dickens and Maria Beadnell (\\' -- subject(s): Accessible book 'Pictures from Italy and American notes for general circulation' 'The Complete Stephen King Universe' -- subject(s): Criticism and interpretation, History and criticism, American Horror tales 'Mr M'Choakumchild and Mr Gradgrind' 'Darkening' 'Aliens' -- subject(s): American fiction 'The Ferryman' -- subject(s): Charon (Greek mythology), Fiction 'A Tale of Two Cities (Enriched Classic)' 'Christmas Carol (Now Age Illustrated Series)' 'Miscellaneous contributions' 'Classic Ghost Stories' 'Charmed, tome 12' 'The tale of the pulsating gate' -- subject(s): Horror tales 'Extravaganza' 'Shades (Roswell (Simon Pulse))' 'Nicholas Nickleby (New Oxford Illustrated Dickens)' 'Oliver!' 'The Bones of Giants (Hellboy)' 'Destruction of illusions' -- subject(s): Fiction, Space ships, Science fiction 'Mother and step-mother' 'Angel, Issue #04' 'Legacy' 'Frozen Stiff (The Secret World of Alex Mack, No. 12)' 'Dickens' Bleak House' 'Martin Chezzlewit' 'Oliver Twist (Classics Collection (Englewood Cliffs, N.J.).)' 'Hunter's League' 'Feline Felon' 'Tour of Two Idle Apprentices. No Thoroughfare. The Perils of Certain English Prisoners (Collected Works of Charles Dickens)' 'Life's Little Handbook of Wisdom Leather Boxed Graduates Ed' 'A full and faithful report of the memorable trial of Bardell against Pickwick' -- subject(s): Trials (Breach of promise), Fiction 'Shattered Twilight' 'Dark vengeance' -- subject(s): Juvenile fiction, Witches, Fiction, Horror fiction, Witchcraft 'Bone key' -- subject(s): OverDrive, Fiction, Literature, Paranormal fiction, Brothers 'Our Mutual Friend Volume 4 of 6' 'Bleak House Volume 3 of 4' 'David Copperfield ; The old curiosity shop ; Hard times' -- subject(s): Social life and customs, Fiction 'Homecoming' -- subject(s): Dating (Social customs), High schools, Schools, Best friends, Juvenile fiction, Friendship, Fiction 'Image' -- subject(s): Fiction, Angel (Fictitious character : Whedon), Vampires 'A Christmas Carol (Great Stories)' 'Dickens on America & the Americans' -- subject(s): Americans, English Quotations, Quotations, Quotations, English, Quotations, maxims, Quotations, maxims, etc 'The Stephan King Universe' 'When Rose wakes' -- subject(s): Fiction, Magic, Princesses, Witches, Blessing and cursing 'F.R.E.E.Lancers (Tsr Books, Special F/Sf)' 'His Fair Lady' 'Charles Dickens birthday book' 'A Dickens Christmas collection' -- subject(s): Christmas stories, English, English Christmas stories, Fiction, Social life and customs 'La vie de Notre Seigneur Jesus-Christ' -- subject(s): Classic Literature, Fiction, OverDrive 'Hard times' -- subject(s): Social life and customs, Social problems, Utilitarianism, Political fiction, Social conditions, Domestic fiction, Fiction 'Hellgate: London: Covenant (Hellgate: London)' 'The evil that men do' -- subject(s): Fiction, Buffy the Vampire Slayer (Fictitious character), Vampires 'Grosze Erwartungen' 'A Christmas carol in prose' 'Mirror Me' 'TAKEOUT STAKEOUT THE MYSTERY FILES OF SHELBY WOO 2 (Mystery Files of Shelby Woo)' 'Christmas Books (The Oxford Illustrated Dickens)' 'Great Expectations (Classic Books on CD) (Classic Books on CD)' 'Oxford Illustrated Dickens (21 Volume Set)' 'Two of a kind diaries' -- subject(s): Protected DAISY 'A Christmas carol by Charles Dickens' -- subject(s): English literature 'Hard times, for these times' -- subject(s): Protected DAISY 'Jet Force Gemini' -- subject(s): Jet Force Gemini, Video games, Videogames, Games, Strategy, Passtimes, Hobbies, Nintendo 64, N64, Nintendo video games, Action, Adventure 'Carnival of Souls' 'Little Dorrit Book the First' 'Dream Boat' 'Keep Me In Mind' 'A Christmas Carol, Spotlight Edition' 'Angel, Not fade Away, Issue #3' 'Sketches' -- subject(s): Accessible book 'Return of the Jedi' -- subject(s): Han Solo (Fictitious character), Princess Leia (Fictitious character), Star wars (Motion picture), Luke Skywalker (Fictitious character), Fiction 'Works of Charles Dickens' 'Wild Things (Prowlers)' 'Novel Notes' 'Pearl-Fishing' -- subject(s): Accessible book 'Oliver Twist' 'Buffy contre les vampires, tome 9' 'New year's revolution!' -- subject(s): Accessible book, Juvenile fiction, Detective and mystery stories 'Croc 2' 'Long way home' -- subject(s): Fiction, Vampires, Buffy the Vampire Slayer (Fictitious character), Sunnydale (Imaginary place), Angel (Fictitious character : Whedon), Horror tales 'Detektivgeschichten' 'Oliver Twist (50785)' 'The old curiosity shop and Hard times' 'Reprinted pieces ; and, The uncommercial traveller and other stories' 'Perezosos, Los' 'UltraViolet' -- subject(s): Vampires, Fiction 'Works of Charles Dickens' 'Rayman 2' -- subject(s): Rayman 2, The Great Escape, Video games, Videogames, Games, Strategy, Passtimes, Hobbies, Nintendo 64, N64, Nintendo video games, Action, Adventure 'Throat Culture' 'The story of Little Nell' -- subject(s): Fiction, Grandparent and child, Girls, Grandfathers, Gamblers, Antique dealers 'Inside Disney's A Christmas carol' 'Cursed' -- subject(s): Fiction, Vampires, Buffy the Vampire Slayer (Fictitious character), Angel (Fictitious character), Angel (Fictitious character : Whedon) 'Once in Love With Amy' 'Buffy contre les vampires, Tome 1' 'Boy trouble' -- subject(s): Fiction, Middle schools, Hispanic Americans, Dating (Social customs), Schools, OverDrive, Juvenile Fiction 'Oliver Twist' 'Advice about school' -- subject(s): Schools, Hispanic Americans, Middle schools, Fiction 'Works of Charles Dickens' 'Ultraviolet' 'Mummy Dearest' 'Angel Souls and Devil Hearts (The Shadow Saga, Book 2)' -- subject(s): Vampires, Fiction 'Oliver Twist' -- subject(s): Social life and customs, Juvenile fiction, Criminals, Orphans 'Buffy contre les vampires, tome 36' 'Shadowrun. Auf Beutezug. Vierundzwanzigster Band des Shadowrun- Zyklus' 'The cricket on the hearth, and other Christmas stories' -- subject(s): Social life and customs, English Christmas stories, Fiction 'Old Fritz and the New Era' 'Charles Dickens' Three Short Stories' 'The Lost Army (Hellboy)' 'The Mistery of Edwin Drood (Collected Works of Charles Dickens)' 'The Old Bachelor' 'Child of the Hunt' 'Hard times' -- subject(s): Utilitarianism, Married people, Social problems, Fiction 'Sunday, Under Three Heads: As it Is, as Sabbath Bills Would Make It, as it ..' -- subject(s): Accessible book, Rubber industry and trade 'Buffy contre les vampires. 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Why did Pythagoras write this proof?

Proof #1This is probably the most famous of all proofs of the Pythagorean proposition. It's the first of Euclid's two proofs (I.47). The underlying configuration became known under a variety of names, the Bride's Chair likely being the most popular. The proof has been illustrated by an award winning Java applet written by Jim Morey. I include it on a separate page with Jim's kind permission. The proof below is a somewhat shortened version of the original Euclidean proof as it appears in Sir Thomas Heath's translation.First of all, ΔABF = ΔAEC by SAS. This is because, AE = AB, AF = AC, and∠BAF = ∠BAC + ∠CAF = ∠CAB + ∠BAE = ∠CAE.ΔABF has base AF and the altitude from B equal to AC. Its area therefore equals half that of square on the side AC. On the other hand, ΔAEC has AE and the altitude from C equal to AM, where M is the point of intersection of AB with the line CL parallel to AE. Thus the area of ΔAEC equals half that of the rectangle AELM. Which says that the area AC² of the square on side AC equals the area of the rectangle AELM.Similarly, the area BC² of the square on side BC equals that of rectangle BMLD. Finally, the two rectangles AELM and BMLD make up the square on the hypotenuse AB.The configuration at hand admits numerous variations. B. F. Yanney and J. A. Calderhead (Am Math Monthly, v.4, n 6/7, (1987), 168-170 published several proofs based on the following diagramsSome properties of this configuration has been proved on the Bride's Chair and others at the special Properties of the Figures in Euclid I.47 page.Proof #2We start with two squares with sides a and b, respectively, placed side by side. The total area of the two squares is a²+b².The construction did not start with a triangle but now we draw two of them, both with sides a and b and hypotenuse c. Note that the segment common to the two squares has been removed. At this point we therefore have two triangles and a strange looking shape.As a last step, we rotate the triangles 90°, each around its top vertex. The right one is rotated clockwise whereas the left triangle is rotated counterclockwise. Obviously the resulting shape is a square with the side c and area c². This proof appears in a dynamic incarnation.(A variant of this proof is found in an extant manuscript by Thâbit ibn Qurra located in the library of Aya Sofya Musium in Turkey, registered under the number 4832. [R. Shloming, Thâbit ibn Qurra and the Pythagorean Theorem, Mathematics Teacher 63 (Oct., 1970), 519-528]. ibn Qurra's diagram is similar to that in proof #27. The proof itself starts with noting the presence of four equal right triangles surrounding a strangely looking shape as in the current proof #2. These four triangles correspond in pairs to the starting and ending positions of the rotated triangles in the current proof. This same configuration could be observed in a proof by tessellation.)Proof #3Now we start with four copies of the same triangle. Three of these have been rotated 90°, 180°, and 270°, respectively. Each has area ab/2. Let's put them together without additional rotations so that they form a square with side c.The square has a square hole with the side (a - b). Summing up its area (a - b)² and 2ab, the area of the four triangles (4·ab/2), we getc²= (a - b)² + 2ab= a² - 2ab + b² + 2ab= a² + b²Proof #4The fourth approach starts with the same four triangles, except that, this time, they combine to form a square with the side (a + b) and a hole with the side c. We can compute the area of the big square in two ways. Thus(a + b)² = 4·ab/2 + c²simplifying which we get the needed identity.A proof which combines this with proof #3 is credited to the 12th century Hindu mathematician Bhaskara (Bhaskara II):Here we add the two identitiesc² = (a - b)² + 4·ab/2 andc² = (a + b)² - 4·ab/2which gives2c² = 2a² + 2b².The latter needs only be divided by 2. This is the algebraic proof # 36 in Loomis' collection. Its variant, specifically applied to the 3-4-5 triangle, has featured in the Chinese classic Chou Pei Suan Ching dated somewhere between 300 BC and 200 AD and which Loomis refers to as proof 253.Proof #5This proof, discovered by President J.A. Garfield in 1876 [Pappas], is a variation on the previous one. But this time we draw no squares at all. The key now is the formula for the area of a trapezoid - half sum of the bases times the altitude - (a + b)/2·(a + b). Looking at the picture another way, this also can be computed as the sum of areas of the three triangles - ab/2 + ab/2 + c·c/2. As before, simplifications yield a² + b² = c².Two copies of the same trapezoid can be combined in two ways by attaching them along the slanted side of the trapezoid. One leads to the proof #4, the other to proof #52.Proof #6We start with the original right triangle, now denoted ABC, and need only one additional construct - the altitude AD. The triangles ABC, DBA, and DAC are similar which leads to two ratios:AB/BC = BD/AB and AC/BC = DC/AC.Written another way these becomeAB·AB = BD·BC and AC·AC = DC·BCSumming up we getAB·AB + AC·AC= BD·BC + DC·BC= (BD+DC)·BC = BC·BC.In a little different form, this proof appeared in the Mathematics Magazine, 33 (March, 1950), p. 210, in the Mathematical Quickies section, see Mathematical Quickies, by C. W. Trigg.Taking AB = a, AC = b, BC = c and denoting BD = x, we obtain as abovea² = cx and b² = c(c - x),which perhaps more transparently leads to the same identity.In a private correspondence, Dr. France Dacar, Ljubljana, Slovenia, has suggested that the diagram on the right may serve two purposes. First, it gives an additional graphical representation to the present proof #6. In addition, it highlights the relation of the latter to proof #1.R. M. Mentock has observed that a little trick makes the proof more succinct. In the common notations, c = b cos A + a cos B. But, from the original triangle, it's easy to see that cos A = b/c and cos B = a/c so c = b (b/c) + a (a/c). This variant immediately brings up a question: are we getting in this manner a trigonometric proof? I do not think so, although a trigonometric function (cosine) makes here a prominent appearance. The ratio of two lengths in a figure is a shape property meaning that it remains fixed in passing between similar figures, i.e., figures of the same shape. That a particular ratio used in the proof happened to play a sufficiently important role in trigonometry and, more generally, in mathematics, so as to deserve a special notation of its own, does not cause the proof to depend on that notation. (However, check Proof 84 where trigonometric identities are used in a significant way.)Finally, it must be mentioned that the configuration exploited in this proof is just a specific case of the one from the next proof - Euclid's second and less known proof of the Pythagorean proposition. A separate page is devoted to a proof by the similarity argument.Proof #7The next proof is taken verbatim from Euclid VI.31 in translation by Sir Thomas L. Heath. The great G. Polya analyzes it in his Induction and Analogy in Mathematics (II.5) which is a recommended reading to students and teachers of Mathematics. In right-angled triangles the figure on the side subtending the right angle is equal to the similar and similarly described figures on the sides containing the right angle.Let ABC be a right-angled triangle having the angle BAC right; I say that the figure on BC is equal to the similar and similarly described figures on BA, AC.Let AD be drawn perpendicular. Then since, in the right-angled triangle ABC, AD has been drawn from the right angle at A perpendicular to the base BC, the triangles ABD, ADC adjoining the perpendicular are similar both to the whole ABC and to one another [VI.8].And, since ABC is similar to ABD, therefore, as CB is to BA so is AB to BD [VI.Def.1].And, since three straight lines are proportional, as the first is to the third, so is the figure on the first to the similar and similarly described figure on the second [VI.19]. Therefore, as CB is to BD, so is the figure on CB to the similar and similarly described figure on BA.For the same reason also, as BC is to CD, so is the figure on BC to that on CA; so that, in addition, as BC is to BD, DC, so is the figure on BC to the similar and similarly described figures on BA, AC.But BC is equal to BD, DC; therefore the figure on BC is also equal to the similar and similarly described figures on BA, AC.Therefore etc. Q.E.D.ConfessionI got a real appreciation of this proof only after reading the book by Polya I mentioned above. I hope that a Java applet will help you get to the bottom of this remarkable proof. Note that the statement actually proven is much more general than the theorem as it's generally known. (Another discussion looks at VI.31 from a little different angle.) Proof #8Playing with the applet that demonstrates the Euclid's proof (#7), I have discovered another one which, although ugly, serves the purpose nonetheless. Thus starting with the triangle 1 we add three more in the way suggested in proof #7: similar and similarly described triangles 2, 3, and 4. Deriving a couple of ratios as was done in proof #6 we arrive at the side lengths as depicted on the diagram. Now, it's possible to look at the final shape in two ways:as a union of the rectangle (1 + 3 + 4) and the triangle 2, oras a union of the rectangle (1 + 2) and two triangles 3 and 4.Equating the areas leads toab/c · (a² + b²)/c + ab/2 = ab + (ab/c · a²/c + ab/c · b²/c)/2Simplifying we getab/c · (a² + b²)/c/2 = ab/2, or (a² + b²)/c² = 1RemarkIn hindsight, there is a simpler proof. Look at the rectangle (1 + 3 + 4). Its long side is, on one hand, plain c, while, on the other hand, it's a²/c + b²/c and we again have the same identity. Vladimir Nikolin from Serbia supplied a beautiful illustration:Proof #9Another proof stems from a rearrangement of rigid pieces, much like proof #2. It makes the algebraic part of proof #4 completely redundant. There is nothing much one can add to the two pictures.(My sincere thanks go to Monty Phister for the kind permission to use the graphics.)There is an interactive simulation to toy with. And another one that clearly shows its relation to proofs #24 or #69.Loomis (pp. 49-50) mentions that the proof "was devised by Maurice Laisnez, a high school boy, in the Junior-Senior High School of South Bend, Ind., and sent to me, May 16, 1939, by his class teacher, Wilson Thornton."The proof has been published by Rufus Isaac in Mathematics Magazine, Vol. 48 (1975), p. 198.A slightly different rearragement leads to a hinged dissection illustrated by a Java applet.Proof #10This and the next 3 proofs came from [PWW]. The triangles in Proof #3 may be rearranged in yet another way that makes the Pythagorean identity obvious.(A more elucidating diagram on the right was kindly sent to me by Monty Phister. The proof admits a hinged dissection illustrated by a Java applet.)The first two pieces may be combined into one. The result appear in a 1830 book Sanpo Shinsyo - New Mathematics - by Chiba Tanehide (1775-1849), [H. Fukagawa, A. Rothman, Sacred Mathematics: Japanese Temple Geometry, Princeton University Press, 2008, p. 83].Proof #11Draw a circle with radius c and a right triangle with sides a and b as shown. In this situation, one may apply any of a few well known facts. For example, in the diagram three points F, G, H located on the circle form another right triangle with the altitude FK of length a. Its hypotenuse GH is split in two pieces: (c + b) and (c - b). So, as in Proof #6, we get a² = (c + b)(c - b) = c² - b². [Loomis, #53] attributes this construction to the great Leibniz, but lengthens the proof about threefold with meandering and misguided derivations.B. F. Yanney and J. A. Calderhead (Am Math Monthly, v.3, n. 12 (1896), 299-300) offer a somewhat different route. Imagine FK is extended to the second intersection F' with the circle. Then, by the Intersecting Chords theorem, FK·KF' = GK·KH, with the same implication.Proof #12This proof is a variation on #1, one of the original Euclid's proofs. In parts 1,2, and 3, the two small squares are sheared towards each other such that the total shaded area remains unchanged (and equal to a²+b².) In part 3, the length of the vertical portion of the shaded area's border is exactly c because the two leftover triangles are copies of the original one. This means one may slide down the shaded area as in part 4. From here the Pythagorean Theorem follows easily. (This proof can be found in H. Eves, In Mathematical Circles, MAA, 2002, pp. 74-75)Proof #13In the diagram there is several similar triangles (abc, a'b'c', a'x, and b'y.) We successively have y/b = b'/c, x/a = a'/c, cy + cx = aa' + bb'.And, finally, cc' = aa' + bb'. This is very much like Proof #6 but the result is more general.Proof #14This proof by H.E. Dudeney (1917) starts by cutting the square on the larger side into four parts that are then combined with the smaller one to form the square built on the hypotenuse. Greg Frederickson from Purdue University, the author of a truly illuminating book, Dissections: Plane & Fancy (Cambridge University Press, 1997), pointed out the historical inaccuracy:You attributed proof #14 to H.E. Dudeney (1917), but it was actually published earlier (1872) by Henry Perigal, a London stockbroker. A different dissection proof appeared much earlier, given by the Arabian mathematician/astronomer Thâbit in the tenth century. I have included details about these and other dissections proofs (including proofs of the Law of Cosines) in my recent book "Dissections: Plane & Fancy", Cambridge University Press, 1997. You might enjoy the web page for the book:http://www.cs.purdue.edu/homes/gnf/book.htmlSincerely,Greg FredericksonBill Casselman from the University of British Columbia seconds Greg's information. Mine came from Proofs Without Words by R.B.Nelsen (MAA, 1993).The proof has a dynamic version.Proof #15This remarkable proof by K. O. Friedrichs is a generalization of the previous one by Dudeney (or by Perigal, as above). It's indeed general. It's general in the sense that an infinite variety of specific geometric proofs may be derived from it. (Roger Nelsen ascribes [PWWII, p 3] this proof to Annairizi of Arabia (ca. 900 A.D.)) An especially nice variant by Olof Hanner appears on a separate page. Proof #16This proof is ascribed to Leonardo da Vinci (1452-1519) [Eves]. Quadrilaterals ABHI, JHBC, ADGC, and EDGF are all equal. (This follows from the observation that the angle ABH is 45°. This is so because ABC is right-angled, thus center O of the square ACJI lies on the circle circumscribing triangle ABC. Obviously, angle ABO is 45°.) Now, Area(ABHI) + Area(JHBC) = Area(ADGC) + Area(EDGF). Each sum contains two areas of triangles equal to ABC (IJH or BEF) removing which one obtains the Pythagorean Theorem. David King modifies the argument somewhatThe side lengths of the hexagons are identical. The angles at P (right angle + angle between a & c) are identical. The angles at Q (right angle + angle between b & c) are identical. Therefore all four quadrilaterals are identical, and, therefore, the hexagons have the same area.Proof #17This proof appears in the Book IV of Mathematical Collectionby Pappus of Alexandria (ca A.D. 300) [Eves, Pappas]. It generalizes the Pythagorean Theorem in two ways: the triangle ABC is not required to be right-angled and the shapes built on its sides are arbitrary parallelograms instead of squares. Thus build parallelograms CADE and CBFG on sides AC and, respectively, BC. Let DE and FG meet in H and draw AL and BM parallel and equal to HC. Then Area(ABML) = Area(CADE) + Area(CBFG). Indeed, with the sheering transformation already used in proofs #1 and #12, Area(CADE) = Area(CAUH) = Area(SLAR) and also Area(CBFG) = Area(CBVH) = Area(SMBR). Now, just add up what's equal. A dynamic illustration is available elsewhere.Proof #18This is another generalization that does not require right angles. It's due to Thâbit ibn Qurra (836-901) [Eves]. If angles CAB, AC'B and AB'C are equal then AC² + AB² = BC(CB' + BC'). Indeed, triangles ABC, AC'B and AB'C are similar. Thus we have AB/BC' = BC/AB and AC/CB' = BC/AC which immediately leads to the required identity. In case the angle A is right, the theorem reduces to the Pythagorean proposition and proof #6. The same diagram is exploited in a different way by E. W. Dijkstra who concentrates on comparison of BC with the sum CB' + BC'.Proof #19This proof is a variation on #6. On the small side AB add a right-angled triangle ABD similar to ABC. Then, naturally, DBC is similar to the other two. From Area(ABD) + Area(ABC) = Area(DBC), AD = AB²/AC and BD = AB·BC/AC we derive (AB²/AC)·AB + AB·AC = (AB·BC/AC)·BC. Dividing by AB/AC leads to AB² + AC² = BC². Proof #20This one is a cross between #7 and #19. Construct triangles ABC', BCA', and ACB' similar to ABC, as in the diagram. By construction, ΔABC = ΔA'BC. In addition, triangles ABB' and ABC' are also equal. Thus we conclude that Area(A'BC) + Area(AB'C) = Area(ABC'). From the similarity of triangles we get as before B'C = AC²/BC and BC' = AC·AB/BC. Putting it all together yields AC·BC + (AC²/BC)·AC = AB·(AC·AB/BC) which is the same as BC² + AC² = AB².Proof #21The following is an excerpt from a letter by Dr. Scott Brodie from the Mount Sinai School of Medicine, NY who sent me a couple of proofs of the theorem proper and its generalization to the Law of Cosines: The first proof I merely pass on from the excellent discussion in the Project Mathematics series, based on Ptolemy's theorem on quadrilaterals inscribed in a circle: for such quadrilaterals, the sum of the products of the lengths of the opposite sides, taken in pairs equals the product of the lengths of the two diagonals. For the case of a rectangle, this reduces immediately to a² + b² = c².Proof #22Here is the second proof from Dr. Scott Brodie's letter. We take as known a "power of the point" theorems: If a point is taken exterior to a circle, and from the point a segment is drawn tangent to the circle and another segment (a secant) is drawn which cuts the circle in two distinct points, then the square of the length of the tangent is equal to the product of the distance along the secant from the external point to the nearer point of intersection with the circle and the distance along the secant to the farther point of intersection with the circle.Let ABC be a right triangle, with the right angle at C. Draw the altitude from C to the hypotenuse; let P denote the foot of this altitude. Then since CPB is right, the point P lies on the circle with diameter BC; and since CPA is right, the point P lies on the circle with diameter AC. Therefore the intersection of the two circles on the legs BC, CA of the original right triangle coincides with P, and in particular, lies on AB. Denote by x and y the lengths of segments BP and PA, respectively, and, as usual let a, b, c denote the lengths of the sides of ABC opposite the angles A, B, C respectively. Then, x + y= c.Since angle C is right, BC is tangent to the circle with diameter CA, and the power theorem states that a² = xc; similarly, AC is tangent to the circle with diameter BC, and b² = yc. Adding, we find a² + b² = xc + yc = c², Q.E.D.Dr. Brodie also created a Geometer's SketchPad file to illustrate this proof.(This proof has been published as number XXIV in a collection of proofs by B. F. Yanney and J. A. Calderhead in Am Math Monthly, v. 4, n. 1 (1897), pp. 11-12.)Proof #23Another proof is based on the Heron's formula. (In passing, with the help of the formula I displayed the areas in the applet that illustrates Proof #7). This is a rather convoluted way to prove the Pythagorean Theorem that, nonetheless reflects on the centrality of the Theorem in the geometry of the plane. (A shorter and a more transparent application of Heron's formula is the basis of proof #75.) Proof #24[Swetz] ascribes this proof to abu' l'Hasan Thâbit ibn Qurra Marwân al'Harrani (826-901). It's the second of the proofs given by Thâbit ibn Qurra. The first one is essentially the #2 above. The proof resembles part 3 from proof #12. ΔABC = ΔFLC = ΔFMC = ΔBED = ΔAGH = ΔFGE. On one hand, the area of the shape ABDFH equals AC² + BC² + Area(ΔABC + ΔFMC + ΔFLC). On the other hand, Area(ABDFH) = AB² + Area(ΔBED + ΔFGE + ΔAGH).Thâbit ibn Qurra's admits a natural generalization to a proof of the Law of Cosines.A dynamic illustration of ibn Qurra's proof is also available.This is an "unfolded" variant of the above proof. Two pentagonal regions - the red and the blue - are obviously equal and leave the same area upon removal of three equal triangles from each.The proof is popularized by Monty Phister, author of the inimitable Gnarly Math CD-ROM.Floor van Lamoen has gracefully pointed me to an earlier source. Eduard Douwes Dekker, one of the most famous Dutch authors, published in 1888 under the pseudonym of Multatuli a proof accompanied by the following diagram.Scott Brodie pointed to the obvious relation of this proof to # 9. It is the same configuration but short of one triangle.Proof #25B.F.Yanney (1903, [Swetz]) gave a proof using the "shearing argument" also employed in the Proofs #1 and #12. Successively, areas of LMOA, LKCA, and ACDE (which is AC²) are equal as are the areas of HMOB, HKCB, and HKDF (which is BC²). BC = DF. Thus AC² + BC² = Area(LMOA) + Area(HMOB) = Area(ABHL) = AB². Proof #26This proof I discovered at the site maintained by Bill Casselman where it is presented by a Java applet. With all the above proofs, this one must be simple. Similar triangles like in proofs #6 or #13.Proof #27The same pieces as in proof #26 may be rearranged in yet another manner. This dissection is often attributed to the 17th century Dutch mathematician Frans van Schooten. [Frederickson, p. 35] considers it as a hinged variant of one by ibn Qurra, see the note in parentheses following proof #2. Dr. France Dacar from Slovenia has pointed out that this same diagram is easily explained with a tessellation in proof #15. As a matter of fact, it may be better explained by a different tessellation. (I thank Douglas Rogers for setting this straight for me.)The configuration at hand admits numerous variations. B. F. Yanney and J. A. Calderhead (Am Math Monthly, v. 6, n. 2 (1899), 33-34) published several proofs based on the following diagrams (multiple proofs per diagram at that)Proof #28Melissa Running from MathForum has kindly sent me a link (that since disappeared) to a page by Donald B. Wagner, an expert on history of science and technology in China. Dr. Wagner appeared to have reconstructed a proof by Liu Hui (third century AD). However (see below), there are serious doubts to the authorship of the proof. Elisha Loomis cites this as the geometric proof #28 with the following comment:Benjir von Gutheil, oberlehrer at Nurnberg, Germany, produced the above proof. He died in the trenches in France, 1914. So wrote J. Adams, August 1933.Let us call it the B. von Gutheil World War Proof.Judging by the Sweet Land movie, such forgiving attitude towards a German colleague may not have been common at the time close to the WWI. It might have been even more guarded in the 1930s during the rise to power of the nazis in Germany.(I thank D. Rogers for bringing the reference to Loomis' collection to my attention. He also expressed a reservation as regard the attribution of the proof to Liu Hui and traced its early appearance to Karl Julius Walther Lietzmann's Geometrische aufgabensamming Ausgabe B: fuer Realanstalten, published in Leipzig by Teubner in 1916. Interestingly, the proof has not been included in Lietzmann's earlier Der Pythagoreische Lehrsatzpublished in 1912.)Proof #29A mechanical proof of the theorem deserves a page of its own.Pertinent to that proof is a page "Extra-geometric" proofs of the Pythagorean Theorem by Scott BrodieProof #30This proof I found in R. Nelsen's sequel Proofs Without Words II. (It's due to Poo-sung Park and was originally published in Mathematics Magazine, Dec 1999). Starting with one of the sides of a right triangle, construct 4 congruent right isosceles triangles with hypotenuses of any subsequent two perpendicular and apices away from the given triangle. The hypotenuse of the first of these triangles (in red in the diagram) should coincide with one of the sides.The apices of the isosceles triangles form a square with the side equal to the hypotenuse of the given triangle. The hypotenuses of those triangles cut the sides of the square at their midpoints. So that there appear to be 4 pairs of equal triangles (one of the pairs is in green). One of the triangles in the pair is inside the square, the other is outside. Let the sides of the original triangle be a, b, c (hypotenuse). If the first isosceles triangle was built on side b, then each has area b²/4. We obtaina² + 4b²/4 = c²There's a dynamic illustration and another diagram that shows how to dissect two smaller squares and rearrange them into the big one.This diagram also has a dynamic variant.Proof #31Given right ΔABC, let, as usual, denote the lengths of sides BC, AC and that of the hypotenuse as a, b, and c, respectively. Erect squares on sides BC and AC as on the diagram. According to SAS, triangles ABC and PCQ are equal, so that ∠QPC = ∠A. Let M be the midpoint of the hypotenuse. Denote the intersection of MC and PQ as R. Let's show that MR PQ.The median to the hypotenuse equals half of the latter. Therefore, ΔCMB is isosceles and ∠MBC = ∠MCB. But we also have ∠PCR = ∠MCB. From here and ∠QPC = ∠A it follows that angle CRP is right, or MR PQ.With these preliminaries we turn to triangles MCP and MCQ. We evaluate their areas in two different ways:One one hand, the altitude from M to PC equals AC/2 = b/2. But also PC = b. Therefore, Area(ΔMCP) = b²/4. On the other hand, Area(ΔMCP) = CM·PR/2 = c·PR/4. Similarly, Area(ΔMCQ) = a²/4 and also Area(ΔMCQ) = CM·RQ/2 = c·RQ/4.We may sum up the two identities: a²/4 + b²/4 = c·PR/4 + c·RQ/4, or a²/4 + b²/4 = c·c/4.(My gratitude goes to Floor van Lamoen who brought this proof to my attention. It appeared in Pythagoras - a dutch math magazine for schoolkids - in the December 1998 issue, in an article by Bruno Ernst. The proof is attributed to an American High School student from 1938 by the name of Ann Condit. The proof is included as the geometric proof 68 in Loomis' collection, p. 140.)Proof #32Let ABC and DEF be two congruent right triangles such that B lies on DE and A, F, C, E are collinear. BC = EF = a, AC = DF = b, AB = DE = c. Obviously, AB DE. Compute the area of ΔADE in two different ways.Area(ΔADE) = AB·DE/2 = c²/2 and also Area(ΔADE) = DF·AE/2 = b·AE/2. AE = AC + CE = b + CE. CE can be found from similar triangles BCE and DFE: CE = BC·FE/DF = a·a/b. Putting things together we obtainc²/2 = b(b + a²/b)/2(This proof is a simplification of one of the proofs by Michelle Watkins, a student at the University of North Florida, that appeared in Math Spectrum 1997/98, v30, n3, 53-54.)Douglas Rogers observed that the same diagram can be treated differently:Proof 32 can be tidied up a bit further, along the lines of the later proofs added more recently, and so avoiding similar triangles.Of course, ADE is a triangle on base DE with height AB, so of area cc/2.But it can be dissected into the triangle FEB and the quadrilateral ADBF. The former has base FE and height BC, so area aa/2. The latter in turn consists of two triangles back to back on base DF with combined heights AC, so area bb/2. An alternative dissection sees triangle ADE as consisting of triangle ADC and triangle CDE, which, in turn, consists of two triangles back to back on base BC, with combined heights EF.The next two proofs have accompanied the following message from Shai Simonson, Professor at Stonehill College in Cambridge, MA:Greetings,I was enjoying looking through your site, and stumbled on the long list of Pyth Theorem Proofs.In my course "The History of Mathematical Ingenuity" I use two proofs that use an inscribed circle in a right triangle. Each proof uses two diagrams, and each is a different geometric view of a single algebraic proof that I discovered many years ago and published in a letter to Mathematics Teacher.The two geometric proofs require no words, but do require a little thought.Best wishes,ShaiProof #33Proof #34Proof #35Cracked Domino - a proof by Mario Pacek (aka Pakoslaw Gwizdalski) - also requires some thought. The proof sent via email was accompanied by the following message:This new, extraordinary and extremely elegant proof of quite probably the most fundamental theorem in mathematics (hands down winner with respect to the # of proofs 367?) is superior to all known to science including the Chinese and James A. Garfield's (20th US president), because it is direct, does not involve any formulas and even preschoolers can get it. Quite probably it is identical to the lost original one - but who can prove that? Not in the Guinness Book of Records yet!The manner in which the pieces are combined may well be original. The dissection itself is well known (see Proofs 26 and 27) and is described in Frederickson's book, p. 29. It's remarked there that B. Brodie (1884) observed that the dissection like that also applies to similar rectangles. The dissection is also a particular instance of the superposition proof by K.O.Friedrichs.Proof #36This proof is due to J. E. Böttcher and has been quoted by Nelsen (Proofs Without Words II, p. 6). I think cracking this proof without words is a good exercise for middle or high school geometry class.S. K. Stein, (Mathematics: The Man-Made Universe, Dover, 1999, p. 74) gives a slightly different dissection.Both variants have a dynamic version.Proof #37An applet by David King that demonstrates this proof has been placed on a separate page. Proof #38This proof was also communicated to me by David King. Squares and 2 triangles combine to produce two hexagon of equal area, which might have been established as in Proof #9. However, both hexagons tessellate the plane. For every hexagon in the left tessellation there is a hexagon in the right tessellation. Both tessellations have the same lattice structure which is demonstrated by an applet. The Pythagorean theorem is proven after two triangles are removed from each of the hexagons.Proof #39(By J. Barry Sutton, The Math Gazette, v 86, n 505, March 2002, p72.) Let in ΔABC, angle C = 90°. As usual, AB = c, AC = b, BC = a. Define points D and E on AB so that AD = AE = b.By construction, C lies on the circle with center A and radius b. Angle DCE subtends its diameter and thus is right: DCE = 90°. It follows that BCD = ACE. Since ΔACE is isosceles, CEA = ACE.Triangles DBC and EBC share DBC. In addition, BCD = BEC. Therefore, triangles DBC and EBC are similar. We have BC/BE = BD/BC, ora / (c + b) = (c - b) / a.And finallya² = c² - b²,a² + b² = c².The diagram reminds one of Thâbit ibn Qurra's proof. But the two are quite different. However, this is exactly proof 14 from Elisha Loomis' collection. Furthermore, Loomis provides two earlier references from 1925 and 1905. With the circle centered at A drawn, Loomis repeats the proof as 82 (with references from 1887, 1880, 1859, 1792) and also lists (as proof 89) a symmetric version of the above:For the right triangle ABC, with right angle at C, extend AB in both directions so that AE = AC = b and BG = BC = a. As above we now have triangles DBC and EBC similar. In addition, triangles AFC and ACG are also similar, which results in two identities:a² = c² - b², andb² = c² - a².Instead of using either of the identities directly, Loomis adds the two:2(a² + b²) = 2c²,which appears as both graphical and algebraic overkill.Proof #40This one is by Michael Hardy from University of Toledo and was published in The Mathematical Intelligencer in 1988. It must be taken with a grain of salt.Let ABC be a right triangle with hypotenuse BC. Denote AC = x and BC = y. Then, as C moves along the line AC, x changes and so does y. Assume x changed by a small amount dx. Then y changed by a small amount dy. The triangle CDE may be approximately considered right. Assuming it is, it shares one angle (D) with triangle ABD, and is therefore similar to the latter. This leads to the proportion x/y = dy/dx, or a (separable) differential equationy·dy - x·dx = 0,which after integration gives y² - x² = const. The value of the constant is determined from the initial condition for x = 0. Since y(0) = a, y² = x² + a² for all x.It is easy to take an issue with this proof. What does it mean for a triangle to be approximately right? I can offer the following explanation. Triangles ABC and ABD are right by construction. We have, AB² + AC² = BC² and also AB² + AD² = BD², by the Pythagorean theorem. In terms of x and y, the theorem appears asx² + a² = y²(x + dx)² + a² = (y + dy)²which, after subtraction, givesy·dy - x·dx = (dx² - dy²)/2.For small dx and dy, dx² and dy² are even smaller and might be neglected, leading to the approximate y·dy - x·dx = 0.The trick in Michael's vignette is in skipping the issue of approximation. But can one really justify the derivation without relying on the Pythagorean theorem in the first place? Regardless, I find it very much to my enjoyment to have the ubiquitous equation y·dy - x·dx = 0 placed in that geometric context.An amplified, but apparently independent, version of this proof has been published by Mike Staring (Mathematics Magazine, V. 69, n. 1 (Feb., 1996), 45-46).Assuming Δx > 0 and detecting similar triangles,Δf / Δx = CQ/CD > CP/CD = CA/CB = x/f(x).But also,Δf / Δx = SD/CD Passing to the limit as Δx tends to 0+, we getdf / dx = x / f(x).The case of Δx f 2(x) = x² + c.The constant c is found from the boundary condition f(0) = b: c = b². And the proof is complete.Proof #41Create 3 scaled copies of the triangle with sides a, b, c by multiplying it by a, b, and c in turn. Put together, the three similar triangles thus obtained to form a rectangle whose upper side is a² + b², whereas the lower side is c².For additional details and modifications see a separate page.Proof #42The proof is based on the same diagram as #33 [Pritchard, p. 226-227]. Area of a triangle is obviously rp, where r is the inradius and p = (a + b + c)/2 the semiperimeter of the triangle. From the diagram, the hypothenuse c = (a - r) + (b - r), or r = p - c. The area of the triangle then is computed in two ways:p(p - c) = ab/2,which is equivalent to(a + b + c)(a + b - c) = 2ab,or(a + b)² - c² = 2ab.And finallya² + b² - c² = 0.The proof is due to Jack Oliver, and was originally published in Mathematical Gazette 81 (March 1997), p 117-118.Maciej Maderek informed me that the same proof appeared in a Polish 1988 edition of Sladami Pitagorasa by Szczepan Jelenski:Jelenski attributes the proof to Möllmann without mentioning a source or a date.Proof #43By Larry Hoehn [Pritchard, p. 229, and Math Gazette]. Apply the Power of a Point theorem to the diagram above where the side a serves as a tangent to a circle of radius b: (c - b)(c + b) = a². The result follows immediately.(The configuration here is essentially the same as in proof #39. The invocation of the Power of a Point theorem may be regarded as a shortcut to the argument in proof #39. Also, this is exactly proof XVI by B. F. Yanney and J. A. Calderhead, Am Math Monthly, v.3, n. 12 (1896), 299-300.)John Molokach suggested a modification based on the following diagram:From the similarity of triangles, a/b = (b + c)/d, so that d = b(b + c)/a. The quadrilateral on the left is a kite with sides b and d and area 2bd/2 = bd. Adding to this the area of the small triangle (ab/2) we obtain the area of the big triangle - (b + c)d/2:bd + ab/2 = (b + c)d/2which simplifies toab/2 = (c - b)d/2, or ab = (c - b)d.Now using the formula for d:ab = (c - b)d = (c - b)(c + b)b/a.Dividing by b and multiplying by a gives a² = c² - b². This variant comes very close to Proof #82, but with a different motivation.Finally, the argument shows that the area of an annulus (ring) bounded by circles of radii b and c > b; is exactly πa² where a² = c² - b². a is a half length of the tangent to the inner circle enclosed within the outer circle.Proof #44The following proof related to #39, have been submitted by Adam Rose (Sept. 23, 2004.) Start with two identical right triangles: ABC and AFE, A the intersection of BE and CF. Mark D on AB and G on extension of AF, such thatBC = BD = FG (= EF).(For further notations refer to the above diagram.) ΔBCD is isosceles. Therefore, ∠BCD = p/2 - α/2. Since angle C is right,∠ACD = p/2 - (p/2 - α/2) = α/2.Since ∠AFE is exterior to ΔEFG, ∠AFE = ∠FEG + ∠FGE. But ΔEFG is also isosceles. Thus∠AGE = ∠FGE = α/2.We now have two lines, CD and EG, crossed by CG with two alternate interior angles, ACD and AGE, equal. Therefore, CDEG. Triangles ACD and AGE are similar, and AD/AC = AE/AG:b/(c - a) = (c + a)/b,and the Pythagorean theorem follows.Proof #45This proof is due to Douglas Rogers who came upon it in the course of his investigation into the history of Chinese mathematics. The proof is a variation on #33, #34, and #42. The proof proceeds in two steps. First, as it may be observed froma Liu Hui identity (see also Mathematics in China)a + b = c + d,where d is the diameter of the circle inscribed into a right triangle with sides a and b and hypotenuse c. Based on that and rearranging the pieces in two ways supplies another proof without words of the Pythagorean theorem:Proof #46This proof is due to Tao Tong (Mathematics Teacher, Feb., 1994, Reader Reflections). I learned of it through the good services of Douglas Rogers who also brought to my attention Proofs #47, #48 and #49. In spirit, the proof resembles the proof #32. Let ABC and BED be equal right triangles, with E on AB. We are going to evaluate the area of ΔABD in two ways:Area(ΔABD) = BD·AF/2 = DE·AB/2.Using the notations as indicated in the diagram we get c(c - x)/2 = b·b/2. x = CF can be found by noting the similarity (BD AC) of triangles BFC and ABC:x = a²/c.The two formulas easily combine into the Pythagorean identity.Proof #47This proof which is due to a high school student John Kawamura was report by Chris Davis, his geometry teacher at Head-Rouce School, Oakland, CA (Mathematics Teacher, Apr., 2005, p. 518.) The configuration is virtually identical to that of Proof #46, but this time we are interested in the area of the quadrilateral ABCD. Both of its perpendicular diagonals have length c, so that its area equals c²/2. On the other hand,c²/2= Area(ABCD)= Area(BCD) + Area(ABD)= a·a/2 + b·b/2Multiplying by 2 yields the desired result.Proof #48(W. J. Dobbs, The Mathematical Gazette, 8 (1915-1916), p. 268.) In the diagram, two right triangles - ABC and ADE - are equal and E is located on AB. As in President Garfield's proof, we evaluate the area of a trapezoid ABCD in two ways:Area(ABCD)= Area(AECD) + Area(BCE)= c·c/2 + a(b - a)/2,where, as in the proof #47, c·c is the product of the two perpendicular diagonals of the quadrilateral AECD. On the other hand,Area(ABCD)= AB·(BC + AD)/2= b(a + b)/2.Combining the two we get c²/2 = a²/2 + b²/2, or, after multiplication by 2, c² = a² + b².Proof #49In the previous proof we may proceed a little differently. Complete a square on sides AB and AD of the two triangles. Its area is, on one hand, b² and, on the other,b²= Area(ABMD)= Area(AECD) + Area(CMD) + Area(BCE)= c²/2 + b(b - a)/2 + a(b - a)/2= c²/2 + b²/2 - a²/2,which amounts to the same identity as before.Douglas Rogers who observed the relationship between the proofs 46-49 also remarked that a square could have been drawn on the smaller legs of the two triangles if the second triangle is drawn in the "bottom" position as in proofs 46 and 47. In this case, we will again evaluate the area of the quadrilateral ABCD in two ways. With a reference to the second of the diagrams above,c²/2= Area(ABCD)= Area(EBCG) + Area(CDG) + Area(AED)= a² + a(b - a)/2 + b(b - a)/2= a²/2 + b²/2,as was desired.He also pointed out that it is possible to think of one of the right triangles as sliding from its position in proof #46 to its position in proof #48 so that its short leg glides along the long leg of the other triangle. At any intermediate position there is present a quadrilateral with equal and perpendicular diagonals, so that for all positions it is possible to construct proofs analogous to the above. The triangle always remains inside a square of side b - the length of the long leg of the two triangles. Now, we can also imagine the triangle ABC slide inside that square. Which leads to a proof that directly generalizes #49 and includes configurations of proofs 46-48. See below.Proof #50The area of the big square KLMN is b². The square is split into 4 triangles and one quadrilateral:b²= Area(KLMN)= Area(AKF) + Area(FLC) + Area(CMD) + Area(DNA) + Area(AFCD)= y(a+x)/2 + (b-a-x)(a+y)/2 + (b-a-y)(b-x)/2 + x(b-y)/2 + c²/2= [y(a+x) + b(a+y) - y(a+x) - x(b-y) - a·a + (b-a-y)b + x(b-y) + c²]/2= [b(a+y) - a·a + b·b - (a+y)b + c²]/2= b²/2 - a²/2 + c²/2.It's not an interesting derivation, but it shows that, when confronted with a task of simplifying algebraic expressions, multiplying through all terms as to remove all parentheses may not be the best strategy. In this case, however, there is even a better strategy that avoids lengthy computations altogether. On Douglas Rogers' suggestion, complete each of the four triangles to an appropriate rectangle:The four rectangles always cut off a square of size a, so that their total area is b² - a². Thus we can finish the proof as in the other proofs of this series:b² = c²/2 + (b² - a²)/2.Proof #51(W. J. Dobbs, The Mathematical Gazette, 7 (1913-1914), p. 168.) This one comes courtesy of Douglas Rogers from his extensive collection. As in Proof #2, the triangle is rotated 90 degrees around one of its corners, such that the angle between the hypotenuses in two positions is right. The resulting shape of area b² is then dissected into two right triangles with side lengths (c, c) and (b - a, a + b) and areas c²/2 and (b - a)(a + b)/2 = (b² - a²)/2:b² = c²/2 + (b² - a²)/2.J. Elliott adds a wrinkle to the proof by turning around one of the triangles:Again, the area can be computed in two ways:ab/2 + ab/2 + b(b - a) = c²/2 + (b - a)(b + a)/2,which reduces tob² = c²/2 + (b² - a²)/2,and ultimately to the Pythagorean identity.Proof #52This proof, discovered by a high school student, Jamie deLemos (The Mathematics Teacher, 88 (1995), p. 79.), has been quoted by Larry Hoehn (The Mathematics Teacher, 90 (1997), pp. 438-441.) On one hand, the area of the trapezoid equals(2a + 2b)/2·(a + b)and on the other,2a·b/2 + 2b·a/2 + 2·c²/2.Equating the two gives a² + b² = c².The proof is closely related to President Garfield's proof.Proof #53Larry Hoehn also published the following proof (The Mathematics Teacher, 88 (1995), p. 168.): Extend the leg AC of the right triangle ABC to D so that AD = AB = c, as in the diagram. At D draw a perpendicular to CD. At A draw a bisector of the angle BAD. Let the two lines meet in E. Finally, let EF be perpendicular to CF.By this construction, triangles ABE and ADE share side AE, have other two sides equal: AD = AB, as well as the angles formed by those sides: ∠BAE = ∠DAE. Therefore, triangles ABE and ADE are congruent by SAS. From here, angle ABE is right.It then follows that in right triangles ABC and BEF angles ABC and EBF add up to 90°. Thus∠ABC = ∠BEF and ∠BAC = ∠EBF.The two triangles are similar, so thatx/a = u/b = y/c.But, EF = CD, or x = b + c, which in combination with the above proportion givesu = b(b + c)/a and y = c(b + c)/a.On the other hand, y = u + a, which leads toc(b + c)/a = b(b + c)/a + a,which is easily simplified to c² = a² + b².Proof #54kLater (The Mathematics Teacher, 90 (1997), pp. 438-441.) Larry Hoehn took a second look at his proof and produced a generic one, or rather a whole 1-parameter family of proofs, which, for various values of the parameter, included his older proof as well as #41. Below I offer a simplified variant inspired by Larry's work. To reproduce the essential point of proof #53, i.e. having a right angled triangle ABE and another BEF, the latter being similar to ΔABC, we may simply place ΔBEF with sides ka, kb, kc, for some k, as shown in the diagram. For the diagram to make sense we should restrict k so that ka ≥ b. (This insures that D does not go below A.)Now, the area of the rectangle CDEF can be computed directly as the product of its sides ka and (kb + a), or as the sum of areas of triangles BEF, ABE, ABC, and ADE. Thus we getka·(kb + a) = ka·kb/2 + kc·c/2 + ab/2 + (kb + a)·(ka - b)/2,which after simplification reduces toa² = c²/2 + a²/2 - b²/2,which is just one step short of the Pythagorean proposition.The proof works for any value of k satisfying k ≥ b/a. In particular, for k = b/a we get proof #41. Further, k = (b + c)/a leads to proof #53. Of course, we would get the same result by representing the area of the trapezoid AEFB in two ways. For k = 1, this would lead to President Garfield's proof.Obviously, dealing with a trapezoid is less restrictive and works for any positive value of k.Proof #55The following generalization of the Pythagorean theorem is due to W. J. Hazard (Am Math Monthly, v 36, n 1, 1929, 32-34). The proof is a slight simplification of the published one. Let parallelogram ABCD inscribed into parallelogram MNPQ is shown on the left. Draw BKMQ and ASMN. Let the two intersect in Y. ThenArea(ABCD) = Area(QAYK) + Area(BNSY).A reference to Proof #9 shows that this is a true generalization of the Pythagorean theorem. The diagram of Proof #9 is obtained when both parallelograms become squares.The proof proceeds in 4 steps. First, extend the lines as shown below.Then, the first step is to note that parallelograms ABCD and ABFX have equal bases and altitudes, hence equal areas (Euclid I.35 In fact, they are nicely equidecomposable.) For the same reason, parallelograms ABFX and YBFW also have equal areas. This is step 2. On step 3 observe that parallelograms SNFW and DTSP have equal areas. (This is because parallelograms DUCP and TENS are equal and points E, S, H are collinear. Euclid I.43 then implies equal areas of parallelograms SNFW and DTSP) Finally, parallelograms DTSP and QAYK are outright equal.(There is a dynamic version of the proof.)Proof #56More than a hundred years ago The American Mathematical Monthly published a series of short notes listing great many proofs of the Pythagorean theorem. The authors, B. F. Yanney and J. A. Calderhead, went an extra mile counting and classifying proofs of various flavors. This and the next proof which are numbers V and VI from their collection (Am Math Monthly, v.3, n. 4 (1896), 110-113) give a sample of their thoroughness. Based on the diagram below they counted as many as 4864 different proofs. I placed a sample of their work on a separate page. Proof #57Treating the triangle a little differently, now extending its sides instead of crossing them, B. F. Yanney and J. A. Calderhead came up with essentially the same diagram: Following the method they employed in the previous proof, they again counted 4864 distinct proofs of the Pythagorean proposition.Proof #58(B. F. Yanney and J. A. Calderhead, Am Math Monthly, v.3, n. 6/7 (1896), 169-171, #VII) Let ABC be right angled at C. Produce BC making BD = AB. Join AD. From E, the midpoint of CD, draw a perpendicular meeting AD at F. Join BF. DADC is similar to DBFE. Hence.AC/BE = CD/EF.But CD = BD - BC = AB - BC. Using thisBE= BC + CD/2BE= BC + (AB - BC)/2= (AB + BC)/2and EF = AC/2. So thatAC·AC/2 = (AB - BC)·(AB + BC)/2,which of course leads to AB² = AC² + BC².(As we've seen in proof 56, Yanney and Calderhead are fond of exploiting a configuration in as many ways as possible. Concerning the diagram of the present proof, they note that triangles BDF, BFE, and FDE are similar, which allows them to derive a multitude of proportions between various elements of the configuration. They refer to their approach in proof 56 to suggest that here too there are great many proofs based on the same diagram. They leave the actual counting to the reader.)Proof #59(B. F. Yanney and J. A. Calderhead, Am Math Monthly, v.3, n. 12 (1896), 299-300, #XVII) Let ABC be right angled at C and let BC = a be the shortest of the two legs. With C as a center and a as a radius describe a circle. Let D be the intersection of AC with the circle, and H the other one obtained by producing AC beyond C, E the intersection of AB with the circle. Draw CL perpendicular to AB. L is the midpoint of BE.By the Intersecting Chords theorem,AH·AD = AB·AE.In other words,(b + a)(b - a) = c(c - 2·BL).Now, the right triangles ABC and BCL share an angle at B and are, therefore, similar, wherefromBL/BC = BC/AB,so that BL = a²/c. Combining all together we see thatb² - a² = c(c - 2a²/c)and ultimately the Pythagorean identity.RemarkNote that the proof fails for an isosceles right triangle. To accommodate this case, the authors suggest to make use of the usual method of the theory of limits. I am not at all certain what is the "usual method" that the authors had in mind. Perhaps, it is best to subject this case to Socratic reasoning which is simple and does not require the theory of limits. If the case is exceptional anyway, why not to treat it as such. Proof #60(B. F. Yanney and J. A. Calderhead, Am Math Monthly, v.3, n. 12 (1896), 299-300, #XVIII) The idea is the same as before (proof #59), but now the circle has the radius b, the length of the longer leg. Having the sides produced as in the diagram, we getAB·BK = BJ·BF,orc·BK = (b - a)(b + a).BK, which is AK - c, can be found from the similarity of triangles ABC and AKH: AK = 2b²/c.Note that, similar to the previous proof, this one, too, dos not work in case of the isosceles triangle.Proof #61(B. F. Yanney and J. A. Calderhead, Am Math Monthly, v.3, n. 12 (1896), 299-300, #XIX) This is a third in the family of proofs that invoke the Intersecting Chords theorem. The radius of the circle equals now the altitude from the right angle C. Unlike in the other two proofs, there are now no exceptional cases. Referring to the diagram,AD² = AH·AE = b² - CD²,BD² = BK·BL = a² - CD²,2AD·BD = 2CD².Adding the three yields the Pythagorean identity.Proof #62This proof, which is due to Floor van Lamoen, makes use of some of the many properties of the symmedian point. First of all, it is known that in any triangle ABC the symmedian point K has the barycentric coordinates proportional to the squares of the triangle's side lengths. This implies a relationship between the areas of triangles ABK, BCK and ACK: Area(BCK) : Area(ACK) : Area(ABK) = a² : b² : c².Next, in a right triangle, the symmedian point is the midpoint of the altitude to the hypotenuse. If, therefore, the angle at C is right and CH is the altitude (and also the symmedian) in question, AK serves as a median of ΔACH and BK as a median of ΔBCH. Recollect now that a median cuts a triangle into two of equal areas. Thus,Area(ACK) = Area(AKH) andArea(BCK) = Area(BKH).ButArea(ABK)= Area(AKH) + Area(BKH)= Area(ACK) + Area(BCK),so that indeed k·c² = k·a² + k·b², for some k > 0; and the Pythagorean identity follows.Floor also suggested a different approach to exploiting the properties of the symmedian point. Note that the symmedian point is the center of gravity of three weights on A, B and C of magnitudes a², b² and c² respectively. In the right triangle, the foot of the altitude from C is the center of gravity of the weights on B and C. The fact that the symmedian point is the midpoint of this altitude now shows that a² + b² = c².Proof #63This is another proof by Floor van Lamoen; Floor has been led to the proof via Bottema's theorem. However, the theorem is not actually needed to carry out the proof. In the figure, M is the center of square ABA'B'. Triangle AB'C' is a rotation of triangle ABC. So we see that B' lies on C'B''. Similarly, A' lies on A''C''. Both AA'' and BB'' equal a + b. Thus the distance from M to AC' as well as to B'C' is equal to (a + b)/2. This givesArea(AMB'C')= Area(MAC') + Area(MB'C')= (a + b)/2 · b/2 + (a + b)/2 · a/2= a²/4 + ab/2 + b²/4.But also:Area(AMB'C')= Area(AMB') + Area(AB'C')= c²/4 + ab/2.This yields a²/4 + b²/4 = c²/4 and the Pythagorean theorem.The basic configuration has been exploited by B. F. Yanney and J. A. Calderhead (Am Math Monthly, v.4, n 10, (1987), 250-251) to produce several proofs based on the following diagramsNone of their proofs made use of the centrality of point M.Proof #64And yet one more proof by Floor van Lamoen; in a quintessentially mathematical spirit, this time around Floor reduces the general statement to a particular case, that of a right isosceles triangle. The latter has been treated by Socrates and is shown independently of the general theorem. FH divides the square ABCD of side a + b into two equal quadrilaterals, ABFH and CDHF. The former consists of two equal triangles with area ab/2, and an isosceles right triangle with area c²/2. The latter is composed of two isosceles right triangles: one of area a²/2, the other b²/2, and a right triangle whose area (by the introductory remark) equals ab! Removing equal areas from the two quadrilaterals, we are left with the identity of areas: a²/2 + b²/2 = c²/2.The idea of Socrates' proof that the area of an isosceles right triangle with hypotenuse k equals k²/4, has been used before, albeit implicitly. For example, Loomis, #67 (with a reference to the 1778 edition of E. Fourrey's Curiosities Geometrique[Loomis' spelling]) relies on the following diagram:Triangle ABC is right at C, while ABD is right isosceles. (Point D is the midpoint of the semicircle with diameter AB, so that CD is the bisector of the right angle ACB.) AA' and BB' are perpendicular to CD, and AA'CE and BB'CF are squares; in particular EF ⊥ CD.Triangles AA'D and DB'B (having equal hypotenuses and complementary angles at D) are congruent. It follows that AA' = B'D = A'C = CE = AE. And similar for the segments equal to B'C. Further, CD = B'C + B'D = CF + CE = EF.Area(ADBC)= Area(ADC) + Area(DBC)Area(ADBC)= CD×AA'/2 + CD×BB'/2Area(ADBC)= CD×EF/2.On the other hand,Area(ABFE)= EF×(AE + BF)/2Area(ADBC)= CD×AA'/2 + CD×BB'/2Area(ADBC)= CD×EF/2.Thus the two quadrilateral have the same area and ΔABC as the intersection. Removing ΔABC we see thatArea(ADB) = Area(ACE) + Area(BCF).The proof reduces to Socrates' case, as the latter identity is equivalent to c²/4 = a²/4 + b²/4.More recently, Bui Quang Tuan came up with a different argument:From the above, Area(BA'D) = Area(BB'C) and Area(AA'D) = Area(AB'C). Also, Area(AA'B) = Area(AA'B'), for AA'BB'. It thus follows that Area(ABD) = Area(AA'C) + Area(BB'C), with the same consequences.Proof #65This and the following proof are also due to Floor van Lamoen. Both a based on the following lemma, which appears to generalize the Pythagorean theorem: Form squares on the sides of the orthodiagonal quadrilateral. The squares fall into two pairs of opposite squares. Then the sum of the areas of the squares in two pairs are equal. The proof is based on the friendly relationship between a triangle and its flank triangles: the altitude of a triangle through the right angle extended beyond the vertex is the median of the flank triangle at the right angle. With this in mind, note that the two parallelograms in the left figure not only share the base but also have equal altitudes. Therefore they have equal areas. Using shearing, we see that the squares at hand split into pairs of rectangles of equal areas, which can be combined in two ways proving the lemma.For the proof now imagine two adjacent vertices of the quadrilateral closing in towards the point of intersection of the diagonals. In the limit, the quadrilateral will become a right triangle and one of the squares shrink to a point. Of the remaining three squares two will add up to the third.Proof #66(Floor van Lamoen). The lemma from Proof 65 can be used in a different way: Let there be two squares: APBMc and C1McC2Q with a common vertex Mc. Rotation through 90° in the positive direction around Mc moves C1Mc into C2Mc and BMc into AMc. This implies that ΔBMcC1 rotates into ΔAMcC2 so that AC2 and BC1 are orthogonal. Quadrilateral ABC2C1 is thus orthodiagonal and the lemma applies: the red and blue squares add up to the same area. The important point to note is that the sum of the areas of the original squares APBMc and C1McC2Q is half this quantity.Now assume the configurations is such that Mc coincides with the point of intersection of the diagonals. Because of the resulting symmetry, the red squares are equal. Therefore, the areas of APBMc and C1McC2Q add up to that of a red square!(There is a dynamic illustration of this argument.)Proof #67This proof was sent to me by a 14 year old Sina Shiehyan from Sabzevar, Iran. The circumcircle aside, the combination of triangles is exactly the same as in S. Brodie's subcase of Euclid's VI.31. However, Brodie's approach if made explicit would require argument different from the one employed by Sina. So, I believe that her derivation well qualifies as an individual proof. From the endpoints of the hypotenuse AB drop perpendiculars AP and BK to the tangent to the circumcircle of ΔABC at point C. Since OC is also perpendicular to the tangent, C is the midpoint of KP. It follows thatArea(ACP) + Area(BCK)= CP·AP/2 + CK·BK/2= [KP·(AP + BK)/2]/2= Area(ABKP)/2.Therefore, Area(ABC) is also Area(ABKP)/2. So thatArea(ACP) + Area(BCK) = Area(ABC)Now all three triangles are similar (as being right and having equal angles), their areas therefore related as the squares of their hypotenuses, which are b, a, and c respectively. And the theorem follows.I have placed the original Sina's derivation on a separate page.Proof #68The Pythagorean theorem is a direct consequence of the Parallelogram Law. I am grateful to Floor van Lamoen for bringing to my attention a proof without words for the latter. There is a second proof which I love even better. Proof #69Twice in his proof of I.47 Euclid used the fact that if a parallelogram and a triangle share the same base and are in the same parallels (I.41), the area of the parallelogram is twice that of the triangle. Wondering at the complexity of the setup that Euclid used to employ that argument, Douglas Rogers came up with a significant simplification that Euclid without a doubt would prefer if he saw it.Let ABA'B', ACB''C', and BCA''C'' be the squares constructed on the hypotenuse and the legs of ΔABC as in the diagram below. As we saw in proof 63, B' lies on C'B'' and A' on A''C''. Consider triangles BCA' and ACB'. On one hand, one shares the base BC and is in the same parallels as the parallelogram (a square actually) BCA''C''. The other shares the base AC and is in the same parallels as the parallelogram ACB''C'. It thus follows by Euclid's argument that the total area of the two triangles equals half the sum of the areas of the two squares. Note that the squares are those constructed on the legs of ΔABC.On the other hand, let MM' pass through C parallel to AB' and A'B. Then the same triangles BCA' and ACB' share the base and are in the same parallels as parallelograms (actually rectangles) MBA'M'and AMM'B', respectively. Again employing Euclid's argument, the area of the triangles is half that of the rectangles, or half that of the square ABA'B'. And we are done.As a matter of fact, this is one of the family of 8 proofs inserted by J. Casey in his edition of Euclid's Elements. I placed the details on a separate page.Now, it appears that the argument can be simplified even further by appealing to the more basic (I.35): Parallelograms which are on the same base and in the same parallels equal one another.The side lines C'B'' and A'C'' meet at point M'' that lies on MM', see, e.g. proof 12 and proof 24. Then by (I.35) parallelograms AMM'B', ACM''B' and ACB''C' have equal areas and so do parallelograms MBA'M', BA'M''C, and BC''A''C. Just what is needed.The latter approach reminds one of proof 37, but does not require any rotation and does the shearing "in place". The dynamic version and the unfolded variant of this proof appear on separate pages.In a private correspondence, Kevin "Starfox" Arima pointed out that sliding triangles is a more intuitive operation than shearing. Moreover, a proof based on a rearrangement of pieces can be performed with paper and scissors, while those that require shearing are confined to drawings or depend on programming, e.g. in Java. His argument can be represented by the following variant of both this proof and # 24.A dynamic illustration is also available.Proof #70Extend the altitude CH to the hypotenuse to D: CD = AB and consider the area of the orthodiagonal quadrilateral ACBD (similar to proofs 47-49.) On one hand, its area equals half the product of its diagonals: c²/2. On the other, it's the sum of areas of two triangles, ACD and BCD. Drop the perpendiculars DE and DF to AC and BC. Rectangle CEDF is has sides equal DE and DF equal to AC and BC, respectively, because for example ΔCDE = ΔABC as both are right, have equal hypotenuse and angles. It follows thatArea(CDA) = b² andArea(CDB) = a²so that indeed c²/2 = a²/2 + b²/2.This is proof 20 from Loomis' collection. In proof 29, CH is extended upwards to D so that again CD = AB. Again the area of quadrilateral ACBD is evaluated in two ways in exactly same manner.Proof #71Let D and E be points on the hypotenuse AB such that BD = BC and AE = AC. Let AD = x, DE = y, BE = z. Then AC = x + y, BC = y + z, AB = x + y + z. The Pythagorean theorem is then equivalent to the algebraic identity(y + z)² + (x + y)² = (x + y + z)².Which simplifies toy² = 2xz.To see that the latter is true calculate the power of point A with respect to circle B(C), i.e. the circle centered at B and passing through C, in two ways: first, as the square of the tangent AC and then as the product AD·AL:(x + y)² = x(x + 2(y + z)),which also simplifies to y² = 2xz.This is algebraic proof 101 from Loomis' collection. Its dynamic version is available separately.Proof #72This is geometric proof #25 from E. S. Loomis' collection, for which he credits an earlier publication by J. Versluys (1914). The proof is virtually self-explanatory and the addition of a few lines shows a way of making it formal.Michel Lasvergnas came up with an even more ransparent rearrangement (on the right below):These two are obtained from each other by rotating each of the squares 180° around its center.A dynamic version is also available.Proof #73This proof is by weininjieda from Yingkou, China who plans to become a teacher of mathematics, Chinese and history. It was included as algebraic proof #50 in E. S. Loomis' collection, for which he refers to an earlier publication by J. Versluys (1914), where the proof is credited to Cecil Hawkins (1909) of England.Let CE = BC = a, CD = AC = b, F is the intersection of DE and AB.ΔCED = ΔABC, hence DE = AB = c. Since, AC BD and BE AD, ED AB, as the third altitude in ΔABD. Now fromArea(ΔABD) = Area(ΔABE) + Area(ΔACD) + Area(ΔBCE)we obtainc(c + EF) = EF·c + b² + a²,which implies the Pythagorean identity.Proof #74The following proof by dissection is due to the 10th century Persian mathematician and astronomer Abul Wafa (Abu'l-Wafa and also Abu al-Wafa) al-Buzjani. Two equal squares are easily combined into a bigger square in a way known yet to Socrates. Abul Wafa method works if the squares are different. The squares are placed to share a corner and two sidelines. They are cut and reassembled as shown. The dissection of the big square is almost the same as by Liu Hui. However, the smaller square is cut entirely differently. The decomposition of the resulting square is practically the same as that in Proof #3. A dynamic version is also available.Proof #75This an additional application of Heron's formula to proving the Pythagorean theorem. Although it is much shorter than the first one, I placed it too in a separate file to facilitate the comparison. The idea is simple enough: Heron's formula applies to the isosceles triangle depicted in the diagram below.Proof #76This is a geometric proof #27 from E. S. Loomis' collection. According to Loomis, he received the proof in 1933 from J. Adams, The Hague. Loomis makes a remark pointing to the uniqueness of this proof among other dissections in that all the lines are either parallel or perpendicular to the sides of the given triangle. Which is strange as, say, proof #72 accomplishes they same feat and with fewer lines at that. Even more surprisingly the latter is also included into E. S. Loomis' collection as the geometric proof #25. Inexplicably Loomis makes a faulty introduction to the construction starting with the wrong division of the hypotenuse. However, it is not difficult to surmise that the point that makes the construction work is the foot of the right angle bisector.A dynamic illustration is available on a separate page.Proof #77This proof is by the famous Dutch mathematician, astronomer and physicist Christiaan Huygens (1629 � 1695) published in 1657. It was included in Loomis' collection as geometric proof #31. As in Proof #69, the main instrument in the proof is Euclid's I.41: if a parallelogram and a triangle that share the same base and are in the same parallels (I.41), the area of the parallelogram is twice that of the triangle. More specifically,Area(ABML)= 2·Area(ΔABP) = Area(ACFG), andArea(KMLS)= 2·Area(ΔKPS), whileArea(BCED)= 2·Area(ΔANB).Combining these with the fact that ΔKPS = ΔANB, we immediately get the Pythagorean proposition.(A dynamic illustration is available on a separate page.)Proof #78This proof is by the distinguished Dutch mathematician E. W. Dijkstra (1930 � 2002). The proof itself is, like Proof #18, a generalization of Proof #6 and is based on the same diagram. Both proofs reduce to a variant of Euclid VI.31 for right triangles (with the right angle at C). The proof aside, Dijkstra also found a remarkably fresh viewpoint on the essence of the theorem itself: If, in a triangle, angles α, β, γ lie opposite the sides of length a, b, c, thensign(α + β - γ) = sign(a² + b² - c²),where sign(t) is the signum function.As in Proof #18, Dijkstra forms two triangles ACL and BCN similar to the base ΔABC:BCN = CAB andACL = CBAso that ACB = ALC = BNC. The details and a dynamic illustration are found in a separate page.Proof #79There are several proofs on this page that make use of the Intersecting Chords theorem, notably proofs ##59, 60, and 61, where the circle to whose chords the theorem applied had the radius equal to the short leg of ΔABC, the long leg and the altitude from the right angle, respectively. Loomis' book lists these among its collection of algebraic proofs along with several others that derive the Pythagorean theorem by means of the Intersecting Chords theorem applied to chords in a fanciful variety of circles added to ΔABC. Alexandre Wajnberg from Unité de Recherches sur l'Enseignement des Mathématiques, Université Libre de Bruxelles came up with a variant that appears to fill an omission in this series of proofs. The construction also looks simpler and more natural than any listed by Loomis. What a surprise! For the details, see a separate page.Proof #80A proof based on the diagram below has been published in a letter to Mathematics Teacher (v. 87, n. 1, January 1994) by J. Grossman. The proof has been discovered by a pupil of his David Houston, an eighth grader at the time. I am grateful to Professor Grossman for bringing the proof to my attention. The proof and a discussion appear in a separate page, but its essence is as follows.Assume two copies of the right triangle with legs a and b and hypotenuse c are placed back to back as shown in the left diagram. The isosceles triangle so formed has the area S = c² sin(θ) / 2. In the right diagram, two copies of the same triangle are joined at the right angle and embedded into a rectangle with one side equal c. Each of the triangles has the area equal to half the area of half the rectangle, implying that the areas of the remaining isosceles triangles also add up to half the area of the rectangle, i.e., the area of the isosceles triangle in the left diagram. The sum of the areas of the two smaller isosceles triangles equalsS= a² sin(π - θ) / 2 + b² sin(θ) / 2= (a² + b²) sin(θ) / 2,for, sin(π - θ) = sin(θ). Since the two areas are equal and sin(θ) ≠ 0, for a non-degenerate triangle, a² + b² = c².Is this a trigonometric proof?Luc Gheysens from Flanders (Belgium) came up with a modification based on the following diagramThe complete discussion can be found on a separate page.Proof #81Philip Voets, an 18 years old law student from Holland sent me a proof he found a few years earlier. The proof is a combination of shearing employed in a number of other proofs and the decomposition of a right triangle by the altitude from the right angle into two similar pieces also used several times before. However, the accompanying diagram does not appear among the many in Loomis' book. Given ΔABC with the right angle at A, construct a square BCHI and shear it into the parallelogram BCJK, with K on the extension of AB. Add IL perpendicular to AK. By the construction,Area(BCJK) = Area(BCHI) = c².On the other hand, the area of the parallelogram BCJK equals the product of the base BK and the altitude CA. In the right triangles BIK and BIL, BI = BC = c and ∠IBL = ∠ACB = β, making the two respectively similar and equal to ΔABC. ΔIKL is then also similar to ΔABC, and we find BL = b and LK = a²/b. So thatArea(BCJK)= BK × CA= (b + a²/b) × b= b² + a².We see that c² = Area(BCJK) = a² + b² completing the proof.Proof #82This proof has been published in the American Mathematical Monthly (v. 116, n. 8, 2009, October 2009, p. 687), with an Editor's note: Although this proof does not appear to be widely known, it is a rediscovery of a proof that first appeared in print in [Loomis, pp. 26-27]. The proof has been submitted by Sang Woo Ryoo, student, Carlisle High School, Carlisle, PA. Loomis takes credit for the proof, although Monthly's editor traces its origin to a 1896 paper by B. F. Yanney and J. A. Calderhead (Monthly, v. 3, p. 65-67.)Draw AD, the angle bisector of angle A, and DE perpendicular to AB. Let, as usual, AB = c, BC = a, and AC = b. Let CD = DE = x. Then BD = a - x and BE = c - b. Triangles ABC and DBE are similar, leading to x/(a - x) = b/c, or x = ab/(b + c). But also (c - b)/x = a/b, implying c - b = ax/b = a²/(b + c). Which leads to (c - b)(c + b) = a² and the Pythagorean identity.Proof #83This proof is a slight modification of the proof sent to me by Jan Stevens from Chalmers University of Technology and Göteborg University. The proof is actually of Dijkstra's generalization and is based on the extension of the construction in proof #41.α + β > γa² + b² > c². The details can be found on a separate page.Proof #84Elisha Loomis, myself and no doubt many others believed and still believe that no trigonometric proof of the Pythagorean theorem is possible. This belief stemmed from the assumption that any such proof would rely on the most fundamental of trigonometric identities sin²α + cos²α = 1 is nothing but a reformulation of the Pythagorean theorem proper. Now, Jason Zimba showed that the theorem can be derived from the subtraction formulas for sine and cosine without a recourse to sin²α + cos²α = 1. I happily admit to being in the wrong. Jason Zimba's proof appears on a separate page.Proof #85Bui Quang Tuan found a way to derive the Pythagorean Theorem from the Broken Chord Theorem. For the details, see a separate page.Proof #86Bui Quang Tuan also showed a way to derive the Pythagorean Theorem from Bottema's Theorem. For the details, see a separate page.Proof #87John Molokach came up with a proof of the Pythagorean theorem based on the following diagram: If any proof deserves to be called algebraic this one does. For the details, see a separate page.Proof #88Stuart Anderson gave another derivation of the Pythagorean theorem from the Broken Chord Theorem. The proof is illustrated by the inscribed (and a little distorted) Star of David: For the details, see a separate page. The reasoning is about the same as in Proof #79 but arrived at via the Broken Chord Theorem.Proof #89John Molokach, a devoted Pythagorean, found what he called a Parallelogram proof of the theorem. It is based on the following diagram: For the details, see a separate page.Proof #90John has also committed an unspeakable heresy by devising a proof based on solving a differential equation. After a prolonged deliberation between Alexander Givental of Berkeley, Wayne Bishop of California State University, John and me, it was decided that the proof contains no vicious circle as was initially expected by every one. For the details, see a separate page.Proof #91John Molokach also observed that the Pythagorean theorem follows from Gauss' Shoelace Formula: For the details, see a separate page.Proof #92A proof due to Gaetano Speranza is based on the following diagram For the details and an interactive illustration, see a separate page.Proof #93Giorgio Ferrarese from University of Torino, Italy, has observed that Perigal's proof - praised for the symmetry of the dissection of the square on the longer leg of a right triangle - admits further symmetric treatment. His proof is based on the following diagram For the details, see a separate page.Proof #94It so happens that the derivative of the right-hand of Heron's formula with respect to one of the side length vanishes when the other two sides are perpendicular. Moreover, by equating the derivative to zero one directly arrives at the Pythagorean formula. The details could be found on a separate page.Proof #95A proof by Quang Tuan Bui is based on the construction illustrated below: The details could be found on a separate page.Proof #96John Molokach started with the following diagram from which he derived two proofs. The details could be found on a separate page.