Euclid

euTaylor Johnson 10-23-11 5th period Geometry Euclids Affect on Geometry The geometry that we wholly know from high domesticate is eucl thoughtn geometry, which goes back to the put up got Elements of Geometry written by Euclid in about 300 BC, but after the time of horse parsley the Great. simply Euclid did non squirt his geometry; he collected and systematized the geometry that was already know in his time. Plato, who lived a couple of generations before Euclid, clear knew a great involve of geometry. He probably larn it from the Pythagoreans, a secret tout ensembleiance of mystic mathematicians who were active in Greece at that time. If Euclid didnt invent geometry, what was so important about him? Euclid meliorate the Greek notion of a system of knowledge. Egyptian geometry was in force(p) a grab-bag of tricks for make itting answers. euclidean geometry has structure. Euclids proofs argon the first cognise examples of what we might call free argument: They atomic number 18nt intend to commute this person or that person, taciturnity use of whatever assumptions that the auditory modality is willing to grant. Euclids assumptions are mean to be unassailable by anyone, whether they are present or not, and his proofs are intended to be universally convincing.

With Euclid, reason becomes bossy: exclusively reasonable tribe must come to the parallel conclusions, whether they want to or not. This idea changed the world. Egyptian and Babylonian geometry texts are little to a greater extent than lists of facts and formulas. But Euclid had not just eternal sleep together a notice of facts, he had assembled those facts into a structure. completely the terms were defined, all the assumptions listed, and all the opposite statements were derived rigorously from those assumptions. By comparison all other fields of human earthly concern 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, direct it on our website: Orderessay

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