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2007-01-07 20:18:40 · 4 answers · asked by Jani N. 2 in Science & Mathematics Mathematics

4 answers

He slept with algebra and out popped geometry.

2007-01-07 20:33:27 · answer #1 · answered by Anonymous · 1 0

Zeno of Sidon, about 250 years after Euclid wrote the Elements, seems to have been the first to show that Euclid's propositions were not deduced from the postulates and axioms alone, and Euclid does make other subtle assumptions.

The Elements is divided into 13 books. Books one to six deal with plane geometry. In particular books one and two set out basic properties of triangles, parallels, parallelograms, rectangles and squares. Book three studies properties of the circle while book four deals with problems about circles and is thought largely to set out work of the followers of Pythagoras. Book five lays out the work of Eudoxus on proportion applied to commensurable and incommensurable magnitudes. Heath says [9]:-

Greek mathematics can boast no finer discovery than this theory, which put on a sound footing so much of geometry as depended on the use of proportion.

Book six looks at applications of the results of book five to plane geometry.

2007-01-13 03:11:15 · answer #2 · answered by xi xi 3 · 0 0

Euclid was a major contributor to planar Geometry

2016-05-23 08:54:59 · answer #3 · answered by Anonymous · 0 0

His most popular work, Elements, is one of the most successful textbooks in the history of mathematics. Within it, the properties of geometrical objects are deduced from a small set of axioms, thereby founding the axiomatic method of mathematics.

2007-01-07 20:32:40 · answer #4 · answered by gebobs 6 · 0 0

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