Euclid Essay, Research Paper
Euclid of Alexandria is thought to hold lived from about 325 BC until 265 BC in Alexandria, Egypt. There is really small known about his life. It was thought he was born in Megara, which was proven to be wrong. There is in fact a Euclid of Megara, but he was a philosopher who lived 100 old ages before Euclid of Alexandria. Besides people say that Euclid of Alexandria is the boy of Naucrates, but there is no cogent evidence of this premise. Euclid was a really common name at that clip, so it was difficult to separate one Euclid from another. That is the large ground why there is small known about Euclid of Alexandria.
Euclid of Alexandria, whose main work, Elementss, is a comprehensive treatise on mathematics in 13 volumes on such topics as plane geometry, proportion in general, the belongingss of Numberss, incommensurable magnitudes, and solid geometry. He was likely educated at Athens by students of Plato.
He taught geometry in Alexandria and founded a school of mathematics at that place. The Data, a aggregation of geometrical theorems ; the Phenomena, a description of the celestial spheres ; the Optics: the Division of the Scale, a mathematical treatment of music ; and several other books have been attributed to him. Historians disagree as to the originality of some of his other parts. Probably, the geometrical subdivisions of the Elementss were chiefly a rearrangement of the plants of old mathematicians such as those of Eudoxus, but Euclid himself is thought to hold made several original finds in the theory of Numberss.
Euclid laid down some of the conventions cardinal to modern mathematical cogent evidence. His book The Elements, written about 300 BC, contains many cogent evidences in the field of geometry and algebra. This book illustrates the Grecian pattern of composing mathematical cogent evidence by first clearly placing the initial premises, and so concluding from them in a logical manner in order to obtain a coveted decision. As portion of such an statement, Euclid used consequences that had been shown to be true, called theorems, or statements that were explicitly acknowledged to be axiomatic, called maxims ; this pattern continues today.
One of Euclid? s finds is explained in the 9th book of the Elementss. It contains cogent evidence of the preposition that the figure of primes is infinite ; that is, no largest figure exists. He claims the cogent evidence is? unusually simple? . Let p be a premier and q=1 ten 2 ten 3 ten? ten p+1 ; That is, one more than the merchandise of all the whole numbers from 1 through p. The whole number Q is larger than P and is non divisible by any whole number from 2 through P, inclusive. Any one of its positive factors, other than 1, and any one of its premier factors, hence, must be larger than p. It follows that there must be a premier larger than P.
Although small is known about Euclid himself, his work is known by many. Even though The Elementss is his best known work, he has written a figure of plants. Each one of his plant has provided us with a enormous sum of valuable information. Today? s modified version of his first few plants form the footing of high school direction in plane geometry.
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