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 0
Release 1956
Genre Geometry
ISBN

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Euclid's Elements (the Thirteen Books)

Euclid's Elements (the Thirteen Books)
Title Euclid's Elements (the Thirteen Books) PDF eBook
Author Euclid
Publisher
Pages 404
Release 2017-12-17
Genre Mathematics
ISBN 9781420956474

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Euclid was a mathematician from the Greek city of Alexandria who lived during the 4th and 3rd century B.C. and is often referred to as the "father of geometry." Within his foundational treatise "Elements," Euclid presents the results of earlier mathematicians and includes many of his own theories in a systematic, concise book that utilized a brief set of axioms and meticulous proofs to solidify his deductions. In addition to its easily referenced geometry, "Elements" also includes number theory and other mathematical considerations. For centuries, this work was a primary textbook of mathematics, containing the only framework for geometry known by mathematicians until the development of "non-Euclidian" geometry in the late 19th century. The extent to which Euclid's "Elements" is of his own original authorship or borrowed from previous scholars is unknown, however despite this fact it was his collation of these basic mathematical principles for which most of the world would come to the study of geometry. Today, Euclid's "Elements" is acknowledged as one of the most influential mathematical texts in history. This volume includes all thirteen books of Euclid's "Elements," is printed on premium acid-free paper, and follows the translation of Thomas Heath.




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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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 in Greek

Euclid's Elements in Greek
Title Euclid's Elements in Greek PDF eBook
Author Richard Fitzpatrick
Publisher Lulu.com
Pages 411
Release 2006-03-01
Genre Mathematics
ISBN 1411680871

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Euclid's Elements is the most famous mathematical work of classical antiquity, and has had a profound influence on the development of modern Mathematics and Physics. This volume contains the definitive Ancient Greek text of J.L. Heiberg (1883), together with an English translation. For ease of use, the Greek text and the corresponding English text are on facing pages. Moreover, the figures are drawn with both Greek and English symbols. Finally, a helpful Greek/English lexicon explaining Ancient Greek mathematical jargon is appended. Volume II contains Books 5-9, and covers the fundamentals of proportion, similar figures, and number theory.




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.




Euclid's Elements with Exercises Instructor's Copy

Euclid's Elements with Exercises Instructor's Copy
Title Euclid's Elements with Exercises Instructor's Copy PDF eBook
Author Kathryn Goulding
Publisher
Pages
Release 2017-09-15
Genre
ISBN 9780692925959

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The instructor's edition of Euclid's Elements With Exercises is intended as a guide for anyone teaching Euclid for the first time. Although it could be used by anyone, it was assembled and written with small schools or homeschooling groups in mind. In addition to containing the first six books in exactly the format of the student edition (also available on Amazon), the instructor's edition provides a concise overview of the course, including suggestions for conducting the class, a discussion of the organization of the material, brief comments on supplemental and memory work, and other details about which a new instructor might have questions. It also has notes for the teacher on each of the six books of the Elements, notes on selected exercises, and an appendix explaining the basics of formal reasoning, including an explanation of the converse and contrapositive of a statement and the concept of an indirect proof, which occurs early in Book I. The primary difference between this work and Euclid's Elements as it is usually presented (aside from the fact that there are some exercises), is that, while all of Books I - VI are included in the book, some propositions are omitted in the main body of the text (all omitted propositions are in Appendix A). This was done in order to be able to finish in two semesters all the plane geometry that would normally be covered in a modern geometry class. It should be noted, of course, that the flow of logic of the propositions is never interrupted. This book was not designed for the purist. Although it is pure Euclid and contains all of the first six books, it may offend the sensibilities of some who love Euclid (as the assembler/author does) to fail to place Book II in the expected flow of the main body of the text. For anyone not under a time constraint, or anyone moving quickly through the text, the author strongly recommends the inclusion of Book II in the course flow.