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...h is done today. In fact, he is most known as a poet, not a mathematician. Omar Khayyam is most known as the author of some short poems included in Edward Fitzgerald’s Rubaiyat (Texas A&M). The main focus here will be on his geometric proofs regarding the root of third degree polynomials; however, he also pushed for the use of rational numbers and helped to prove the parallel postulate. An article by Texas A&M’s Math Department states, “He discovered exactly what must be showed to prove the parallel postulate, and it was upon these ideas that non-Euclidean geometry was discovered” (Texas A&M). Briefly, the Euclidian parallel postulate is: Given a point and a line, there can only be one line that goes through the point and is parallel to the given line. (See figure below) Khayyam solidified this idea by using a quadrilateral to show the existence of parallel lines.
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