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Where did Pythagoras discover the triangle property?

Updated: 8/17/2019
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15y ago

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It appears that Pythagoras didn't discover it, as it was known to the Babylonians before his time.

Pythagoras founded a group (called the Pythagoreans). The contribution of this group to what is now called Pythagoras's Theorem seems to have been to state it in a general form, and maybe to attempt a proof of it. Unfortunately there is essentially no evidence surviving for who did what in the group, or when.

Pythagoras founded his group in a place called Croton (in Italy), but he and his followers were eventually driven out, and went to various places. Also Pythagoras travelled around before he went to Croton. So we don't even know with certainty where the work by the Pythagoreans on the triangle property was done, thouogh Croton would be a reasonable guess, as far as we know.

My source is Morris Kline, Mathematical Thought from Ancient to Modern Times, Oxford Universty Press New York, 1972, page 10 and pages 28-34.

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