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Inside the dome are two additional reflectors that collect the radiation reflected off the main dish and bring it to a point focus. These two reflectors are called the secondary and tertiary reflectors. The way the three reflectors work together is according to "Gregorian optics", named after the Scottish seventeenth century mathematician, James Gregory. He designed a reflecting telescope whose optics serve as the prototype for many telescopes including the Arecibo 1.4 GHz Array in Arecibo, Puerto Rico.

Sources:

http://www.naic.edu/

http://www.pbs.org/safarchive/3_ask/archive/qna/3291_cordes.html

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