The Thirteen Books of Euclid's Elements

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781546376675
Total Pages : 448 pages
Book Rating : 4.3/5 (766 download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by Createspace Independent Publishing Platform. This book was released on 2017-04-30 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected

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Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.B/5 (9 download)

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Book Synopsis The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected by : Euclid

Download or read book The Elements of Euclid, Viz. the First Six Books, Together with the Eleventh and Twelfth ... Also the Book of Euclid's Data, in Like Manner Corrected written by Euclid and published by . This book was released on 1817 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements

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Publisher :
ISBN 13 :
Total Pages : 544 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Euclid's Elements by : Euclid

Download or read book Euclid's Elements written by Euclid and published by . This book was released on 2002 with total page 544 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.

The First Six Books of the Elements of Euclid

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Publisher :
ISBN 13 : 9781686928512
Total Pages : 212 pages
Book Rating : 4.9/5 (285 download)

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Book Synopsis The First Six Books of the Elements of Euclid by : John Casey

Download or read book The First Six Books of the Elements of Euclid written by John Casey and published by . This book was released on 2019-08-17 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition of the Elements of Euclid, undertaken at the request of the principalsof some of the leading Colleges and Schools of Ireland, is intended tosupply a want much felt by teachers at the present day-the production of awork which, while giving the unrivalled original in all its integrity, would alsocontain the modern conceptions and developments of the portion of Geometryover which the Elements extend. A cursory examination of the work will showthat the Editor has gone much further in this latter direction than any of hispredecessors, for it will be found to contain, not only more actual matter thanis given in any of theirs with which he is acquainted, but also much of a specialcharacter, which is not given, so far as he is aware, in any former work on thesubject. The great extension of geometrical methods in recent times has madesuch a work a necessity for the student, to enable him not only to read with advantage, but even to understand those mathematical writings of modern timeswhich require an accurate knowledge of Elementary Geometry, and to which itis in reality the best introduction

The Thirteen Books of Euclid's Elements

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Publisher :
ISBN 13 :
Total Pages : 594 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis The Thirteen Books of Euclid's Elements by : Euclid

Download or read book The Thirteen Books of Euclid's Elements written by Euclid and published by . This book was released on 1908 with total page 594 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Elements

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Publisher :
ISBN 13 :
Total Pages : 558 pages
Book Rating : 4.:/5 (9 download)

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Book Synopsis The Elements by : Euclid

Download or read book The Elements written by Euclid and published by . This book was released on 1947 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The First Six Books of the Elements of Euclid

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Publisher :
ISBN 13 :
Total Pages : 362 pages
Book Rating : 4.X/5 (1 download)

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Book Synopsis The First Six Books of the Elements of Euclid by : Dionysius Lardner

Download or read book The First Six Books of the Elements of Euclid written by Dionysius Lardner and published by . This book was released on 1848 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements

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ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (144 download)

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Book Synopsis Euclid's Elements by : Euclid

Download or read book Euclid's Elements written by Euclid and published by . This book was released on 1964 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements of Geometry

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ISBN 13 :
Total Pages : 546 pages
Book Rating : 4.5/5 (895 download)

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Book Synopsis Euclid's Elements of Geometry by : Euclid

Download or read book Euclid's Elements of Geometry written by Euclid and published by . This book was released on 2008 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The First Six Books of the Elements of Euclid, Vol. 1

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Publisher : Forgotten Books
ISBN 13 : 9781330161142
Total Pages : 338 pages
Book Rating : 4.1/5 (611 download)

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Book Synopsis The First Six Books of the Elements of Euclid, Vol. 1 by : Dionysius Lardner

Download or read book The First Six Books of the Elements of Euclid, Vol. 1 written by Dionysius Lardner and published by Forgotten Books. This book was released on 2015-06-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The First Six Books of the Elements of Euclid, Vol. 1: With a Commentary and Geometrical Exercises Two thousand years have now rolled away since Euclid's Elements were first used in the School of Alexandria, and to this day they continue to be esteemed the best introduction to mathematical science. They have been adopted as the basis of geometrical instruction in every part of the globe to which the light of science has penetrated; and, while in every other department of human knowledge there have been almost as many manuals as schools, in this, and in this only, one work has, by common consent, been adopted as an universal standard. Euclid has been translated into the languages of England, France, Germany, Spain, Italy, Holland, Sweden, Denmark, Russia, Egypt, Turkey, Arabia, Persia, and China. This unprecedented unanimity in the adoption of one work as the basis of instruction, has not arisen from the absence of other treatises on the same subject. Some of the most eminent mathematicians have written, either original Treatises, or modifications and supposed improvements of the Elements; but still the "Elements" themselves have been invariably preferred. To what can a preference so universal be attributed, if not to that singular perspicuity of arrangement, and that rigorous exactitude of demonstration, in which this celebrated Treatise has never been surpassed? 'To this,' says Playfair, 'is added every association which can render a work venerable. It is the production of a man distinguished among the first instructors of the human race. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Euclid in Greek

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Publisher : CUP Archive
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Euclid in Greek by : Euclid

Download or read book Euclid in Greek written by Euclid and published by CUP Archive. This book was released on 1920 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Euclid's Elements with Exercises Instructor's Copy

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Publisher :
ISBN 13 : 9780692925959
Total Pages : pages
Book Rating : 4.9/5 (259 download)

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Book Synopsis Euclid's Elements with Exercises Instructor's Copy by : Kathryn Goulding

Download or read book Euclid's Elements with Exercises Instructor's Copy written by Kathryn Goulding and published by . This book was released on 2017-09-15 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Encounters with Euclid

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Publisher : Princeton University Press
ISBN 13 : 0691235767
Total Pages : 416 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Encounters with Euclid by : Benjamin Wardhaugh

Download or read book Encounters with Euclid written by Benjamin Wardhaugh and published by Princeton University Press. This book was released on 2023-11-14 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sweeping cultural history of one of the most influential mathematical books ever written Euclid's Elements of Geometry is one of the fountainheads of mathematics—and of culture. Written around 300 BCE, it has traveled widely across the centuries, generating countless new ideas and inspiring such figures as Isaac Newton, Bertrand Russell, Abraham Lincoln, and Albert Einstein. Encounters with Euclid tells the story of this incomparable mathematical masterpiece, taking readers from its origins in the ancient world to its continuing influence today. In this lively and informative book, Benjamin Wardhaugh explains how Euclid’s text journeyed from antiquity to the Renaissance, introducing some of the many readers, copyists, and editors who left their mark on the Elements before handing it on. He shows how some read the book as a work of philosophy, while others viewed it as a practical guide to life. He examines the many different contexts in which Euclid's book and his geometry were put to use, from the Neoplatonic school at Athens and the artisans' studios of medieval Baghdad to the Jesuit mission in China and the workshops of Restoration London. Wardhaugh shows how the Elements inspired ideas in theology, art, and music, and how the book has acquired new relevance to the strange geometries of dark matter and curved space. Encounters with Euclid traces the life and afterlives of one of the most remarkable works of mathematics ever written, revealing its lasting role in the timeless search for order and reason in an unruly world.

The First Six Books of the Elements of Euclid, Vol. 1

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Publisher : Forgotten Books
ISBN 13 : 9780331793499
Total Pages : 338 pages
Book Rating : 4.7/5 (934 download)

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Book Synopsis The First Six Books of the Elements of Euclid, Vol. 1 by : Dionysius Lardner

Download or read book The First Six Books of the Elements of Euclid, Vol. 1 written by Dionysius Lardner and published by Forgotten Books. This book was released on 2017-11-23 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The First Six Books of the Elements of Euclid, Vol. 1: With a Commentary and Geometrical Exercises Two thousand years have now rolled away since Euclid's Elements were first used in the school of Alexandria, and to this day they continue to be esteemed the best introduction to mathematical science. They have been adopted as the basis of geometrical instruction in every part of the globe to which the light of science has penetrated; and, while in every other department of human knowledge there have been almost as many manuals as schools, in this, and in this only, one work has, by common consent, been adopted as an universal standard. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Euclid in China

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Publisher : BRILL
ISBN 13 : 9004482792
Total Pages : 502 pages
Book Rating : 4.0/5 (44 download)

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Book Synopsis Euclid in China by : Engelfriet

Download or read book Euclid in China written by Engelfriet and published by BRILL. This book was released on 2021-11-01 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: As part of the Jesuits' programme of introduction to European culture, in 1607 the Elements of Euclid (± 300 BC) were translated for the first time into Chinese. The translation of this epoch-making ancient Greek textbook on deductive geometry meant a confrontation of contemporary Chinese and European cultures. Part I of Peter Engelfriet's work deals mainly with the European and Chinese backgrounds, part II with linguistic and textual matters. In part III the manner in which learned Chinese tried to integrate this new knowledge into their own, Chinese, mathematical and cultural traditions comes to the fore. This fascinating work explores in depth and at various levels the circumstances and mechanisms that shaped the transmission of a key work of science from one language and cultural context onto another. Consequently it offers often surprising insights into the ways of intercultural exchange and misunderstandings.

Geometry: Euclid and Beyond

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Publisher : Springer Science & Business Media
ISBN 13 : 0387226761
Total Pages : 535 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Geometry: Euclid and Beyond by : Robin Hartshorne

Download or read book Geometry: Euclid and Beyond written by Robin Hartshorne and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 535 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a unique opportunity to understand the essence of one of the great thinkers of western civilization. A guided reading of Euclid's Elements leads to a critical discussion and rigorous modern treatment of Euclid's geometry and its more recent descendants, with complete proofs. Topics include the introduction of coordinates, the theory of area, history of the parallel postulate, the various non-Euclidean geometries, and the regular and semi-regular polyhedra.

Euclid's Elements Redux

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Publisher : Lulu.com
ISBN 13 : 9781312110786
Total Pages : 464 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Euclid's Elements Redux by : John Casey

Download or read book Euclid's Elements Redux written by John Casey and published by Lulu.com. This book was released on 2015-05-28 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Euclid's 'Elements' Redux"" is an open textbook on mathematical logic and geometry for use in grades 7-12 and in undergraduate college courses on proof writing. It is a new edition of the most successful textbook of all time, ""The Elements,"" compiled by Euclid around 300 BC. It contains several hundred exercises as well as a partial answer key. Although it is a copyrighted work, it is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License. Download it for free at: http: //starrhorse.com/euclid/