Euclid simple biography samples

His Elements is one of the most influential works in the history of mathematics, serving as the main textbook for teaching mathematics, especially geometry, from the time of its publication until the late 19th or early 20th century. In the Elements, Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms.

Euclid also wrote works on perspective, conic sections, spherical geometry, number theory and rigor. What we know about him today stems from a mention of Euclid by Archimedesmentioning him as a contemporary and fellow mathematician. He most probably gained basic education at the Academy of Plato — the Greek philosopher. He studied geometry and the earlier works on it by mathematicians like Eudoxus, Theaetetus, and Phillip of Opus.

Euclid simple biography samples

He compiled their theorems and tried to prove them. He was also asked by Ptolemy-I that if geometry could be learned more easily? W Knorr, Problems in the interpretation of Greek number theory : Euclid and the 'fundamental theorem of arithmetic', Studies in Hist. W R Knorr, What Euclid meant : on the use of evidence in studying ancient mathematics, in Science and philosophy in classical Greece New York,- K Kreith, Euclid turns to probability, Internat.

P Kunitzsch, 'The peacock's tail' : on the names of some theorems of Euclid's 'Elements', in Vestigia mathematica Amsterdam,- Harbin Normal Univ. D E Loomis, Euclid : rhetoric in mathematics, Philos. RussianTrudy Sem. DDR 171 - History Exact Sci. A Szab, The origins of Euclid's terminology. I HungarianMagyar Tud. III 36Comment. A Szabo, Euclid's terms in the foundations of mathematics.

II HungarianMagyar Tud. W Theisen, Euclid, relativity, and sailing, Historia Math. Warburg Courtauld Inst. G Toussaint, A new look at Euclid's second proposition, Math. Intelligencer 15 312 - Euclid then shows the properties of geometric objects and of whole numbersbased on those axioms. The Elements also includes works on perspectiveconic sections, spherical geometry, and possibly quadric surfaces.

Apart from geometry, the work also includes number theory. Euclid came up with the idea of greatest common divisors. They were in his Elements. The greatest common divisor of two numbers is the greatest number that can fit evenly in both of the two numbers. The geometrical system described in the Elements was long known simply as geometry, and was considered to be the only geometry possible.