Euclid original discoveries in the theory of

Euclid of Alex Andria, whose chief work, Elements, is the comprehensive treatise on mathematics in thirteen volume on such subjects as plane geometry, proportion in general, the properties of numbers, incommensurable magnitudes, and so the geometry. He was probably educated at Athens by Plato.

He taught geometry in Alexandria and founded a school, of mathematics there. The Data, a collection of geometrical theorems; the Phenomena, a description of the heavens; the Optics: the Division of the Scale, a mathematical discussion of music; and several other books has been attributed to him.

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Historians disagree as to the originality of some of his other contributions, probably, die geometrical sections of the Elements were primarily a rearrangement of the works of previous mathematicians such as depose of Eudoxus, but Euclid himself is thought to have made several original discoveries in the theory of numbers.

Euclid laid down some of the conventions central to modern mathematical proofs. His book, The Elements, written about 300 BC, contains many proofs in the field of geometry and algebra. This book illustrates the Greek practice of writing mathematical proofs by first clearly identifying the initial assumptions, and then reasoning from them in a logical way in order to obtain a desired conclusion.

As part of such an argument, Euclid used results that had been shown to be true, called theorems or statements that were explicitly acknowledged to be self-evident, called axioms; this practice continues today. One of Euclid’s finds is explained in the ninth book of the Moments. It contains proof of the preposition that the number primes is infinite; that is, no largest number exists.

Although little is known about Euclid himself, his work is known by many. Even though The Elements is his best known work, he has written a number of works. Each one of his works has provided us with a tremendous amount of valuable information. Today’s modified version of his first few works forms the basis school instruction in plane geometry.