d’Euclide; glwiki Elementos de Euclides; hewiki יסודות (ספר); hiwiki एलिमेन्ट्स (यूक्लिड); hrwiki Elementi (Euklid); huwiki Elemek; hywiki Սկզբունքներ. i dr.n. Sačuvana dela su: “Elementi” (geometrija kao nauka o prostoru) u 13 knjiga.• Euklid je poznati grčki matematičar iz Atine. “Optika” (s teorijom perspektive). Euklid je pokušao da izlaganje bude strogo deduktivno i upravo zbog te doslednosti Elementi su vekovima smatrani najsavršenijim matematičkim delom. Mnoge.
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A History of Mathematics 2nd ed.
Then comes the ‘setting-out’, which gives the figure and denotes particular geometrical objects by letters.
Wilson, Scribes and Scholars 2nd. Then the ‘construction’ or ‘machinery’ follows.
Theon’s Greek edition was recovered in Wikiquote has quotations related to: Proclus — ADa Greek mathematician who lived around seven centuries after Euclid, wrote in his commentary on the Epementi Mathematician and historian W. Bedientpage In addition to the Elementsat least five works of Euclid have survived to the present day.
Here, the original figure is extended to forward the proof. However, Euclid’s eukkid proof of this proposition, is general, valid, and does not depend on the figure used as an example to illustrate one given configuration.
The austere beauty of Euclidean geometry has been seen by many in western culture as a glimpse of an otherworldly system of perfection and certainty. For example, he proves the Pythagorean elemento by first inscribing a square on the sides of a right triangle, but only after constructing a square on a given line one proposition earlier.
City states Politics Military. However, Euclid’s systematic development of his subject, from a small set of axioms to deep results, and the consistency of his approach throughout the Elementsencouraged its use as a textbook for about 2, years. Although best known for its geometric results, the Elements also includes number theory.
As teachers at the school he called a band of leading scholars, among whom was the author of the most fabulously successful mathematics textbook ever written — the Elements Stoichia of Euclid. Euclid Elements Book 1 Proposition 2. Problem of Apollonius Squaring the circle Doubling the cube Angle trisection.
Elementi page crop b. Euclid Elements Book 13 Proposition Retrieved from ” https: Views Read Edit View history. The Creation of Mathematics. The geometrical treatment of number theory may have been because the alternative would have been the extremely awkward Euklld system of numerals.
Euclid 1 5 en. Although the apparent citation of Euclid by Archimedes has been judged to be an interpolation by later editors of his works, it is still believed that Euclid wrote his works before Archimedes wrote his. Charles Burnett, Adelard of Bath: In ancient ekementi it was not uncommon to attribute to a celebrated author works that were not by him; thus, some versions of Euclid’s Elements include a fourteenth and even a fifteenth book, both shown by later scholars to be apocryphal.
According to Proclus, Euclid supposedly belonged to Plato ‘s “persuasion” and brought together the Elementsdrawing on prior work of Eudoxus of Cnidus and of several pupils of Plato particularly Theaetetus and Philip of Opus. Timeline of ancient Greek mathematicians.
It is thought that this book may have been composed by Hypsicles on the basis of a treatise now lost by Apollonius comparing the dodecahedron and icosahedron. The Elements still influences modern geometry books. Wikimedia Commons has media related to Elements of Euclid.
Euclid’s Elements has been referred to as the most successful   and influential  textbook ever written. This page was last edited on eumlid Julyat