The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Title The Thirteen Books of Euclid's Elements PDF eBook
Author Euclid
Publisher Createspace Independent Publishing Platform
Pages 448
Release 2017-04-30
Genre
ISBN 9781546376675

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Euclid's Elements is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt circa 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems, including the problem of finding the square root of a number. Elements is the second-oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere, and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus, the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' in the Greek language is the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term element, emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.




Books 3-9

Books 3-9
Title Books 3-9 PDF eBook
Author Euclid
Publisher
Pages 456
Release 1908
Genre Mathematics, Greek
ISBN

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Euclid's Elements

Euclid's Elements
Title Euclid's Elements PDF eBook
Author Euclid
Publisher
Pages 544
Release 2002
Genre Mathematics
ISBN

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"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.




The Elements

The Elements
Title The Elements PDF eBook
Author Euclid
Publisher
Pages 558
Release 1947
Genre Geometry
ISBN

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The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Title The Thirteen Books of Euclid's Elements PDF eBook
Author Thomas L. Heath
Publisher Cambridge University Press
Pages 555
Release 2015-02-12
Genre History
ISBN 1107480507

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First published in 1926, this book contains the final volume of a three-volume English translation of the thirteen books of Euclid's Elements.




The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements
Title The Thirteen Books of Euclid's Elements PDF eBook
Author Euclid
Publisher
Pages 594
Release 1908
Genre Mathematics, Greek
ISBN

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Euclid's Elements of Geometry

Euclid's Elements of Geometry
Title Euclid's Elements of Geometry PDF eBook
Author Euclid
Publisher
Pages 546
Release 2008
Genre
ISBN

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EUCLID'S ELEMENTS OF GEOMETRY, in Greek and English. The Greek text of J.L. Heiberg (1883-1885), edited, and provided with a modern English translation, by Richard Fitzpatrick.[Description from Wikipedia: ] The Elements (Ancient Greek: Στοιχεῖον Stoikheîon) is a mathematical treatise consisting of 13 books (all included in this volume) attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century.