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The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions.
Added a couple of missing figures. Beautified unnamed line partition marks in Book V. 09:38, 16 April 2007: No thumbnail: 0 × 0 (1.99 MB) Mingshey~commonswiki == Description == Euclid's ''Elements'' (Ancient Greek) Compiled for anyone who would want to read the Euclid's work in Greek, especially in order to provide them a printer-friendly copy ...
The Thirteen Books of Euclid's Elements: vol. 1, vol. 2, vol. 3; The Thirteen Books of Euclid's Elements - Second Edition Revised with Additions: Vol. 1-3; PDF files of many of Heath's works, including those on Diophantus, Apollonius, etc. Excerpts from MacTutor. Heath: Everyman's Library Euclid Introduction
He translated from Greek and Latin into English: Ptolemy's Almagest, a 2nd-century book on astronomy, the 13 books of Euclid's Elements, Apollonius' works on conic sections, and some works of Plato (Timaios, Critias), and St. Augustine (On Music).
However, Euclid's reasoning from assumptions to conclusions remains valid independently from the physical reality. [4] Near the beginning of the first book of the Elements, Euclid gives five postulates (axioms) for plane geometry, stated in terms of constructions (as translated by Thomas Heath): [5] Let the following be postulated:
Euclid (/ ˈ j uː k l ɪ d /; Ancient Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. [2] Considered the "father of geometry", [3] he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century.
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Hypsicles is more famously known for possibly writing the Book XIV of Euclid's Elements.The book may have been composed on the basis of a treatise by Apollonius.The book continues Euclid's comparison of regular solids inscribed in spheres, with the chief result being that the ratio of the surfaces of the dodecahedron and icosahedron inscribed in the same sphere is the same as the ratio of ...
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