Euclid

euTaylor Johnson 10-23-11 5th period Geometry Euclids Affect on Geometry The geometry that we solely know from high school is euclidean geometry, which goes back to the abide got Elements of Geometry written by Euclid in about 300 BC, just after the time of Alexander the Great. But Euclid did not form his geometry; he collected and systematized the geometry that was already cognize in his time. Plato, who lived a couple of generations before Euclid, clearly knew a great take aim of geometry. He probably learned it from the Pythagoreans, a secret confederacy of mystic mathematicians who were active in Greece at that time. If Euclid didnt invent geometry, what was so important about him? Euclid perfected the Greek notion of a system of knowledge. Egyptian geometry was just a grab-bag of tricks for getting answers. euclidian geometry has structure. Euclids proofs argon the first known examples of what we might call unresolved argument: They arnt intend to convince this person or that person, engagement use of whatever assumptions that the audience is willing to grant. Euclids assumptions are intend to be unassailable by anyone, whether they are present or not, and his proofs are intended to be universally convincing.

With Euclid, reason becomes authoritative: exclusively reasonable people must come to the comparable with(predicate) conclusions, whether they want to or not. This idea changed the world. Egyptian and Babylonian geometry texts are little more than lists of facts and formulas. But Euclid had not just domicile together a set of facts, he had assembled th ose facts into a structure. all(prenominal)! the terms were defined, all the assumptions listed, and all the other statements were derived rigorously from those assumptions. By comparison all other fields of human creation opinion were little more than grab-bags of ideas and tricks. The assumptions which are called postulates, are examples of what became known as self-evident truth. In other words, once these propositions were understood, they could not be denied....If you want to get a full essay, range it on our website: BestEssayCheap.com

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