Euclid's Elements
Author: Euclid
Publisher:
Published: 2002
Total Pages: 544
ISBN-13:
DOWNLOAD EBOOK"The book includes introductions, terminology and biographical notes, bibliography, and an index and glossary" --from book jacket.
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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
Author: Euclid
Publisher:
Published: 1817
Total Pages: 558
ISBN-13:
DOWNLOAD EBOOKA Treatise of Geometry, Containing the First Six Books of Euclid's Elements
Author: Daniel Cresswell
Publisher:
Published: 1819
Total Pages: 540
ISBN-13:
DOWNLOAD EBOOKThe Thirteen Books of Euclid's Elements
Author: Euclid
Publisher: Createspace Independent Publishing Platform
Published: 2017-04-30
Total Pages: 448
ISBN-13: 9781546376675
DOWNLOAD EBOOKEuclid'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.
Euclid's Elements in Greek
Author: Richard Fitzpatrick
Publisher: Lulu.com
Published: 2006-03-01
Total Pages: 411
ISBN-13: 1411680871
DOWNLOAD EBOOKEuclid'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.
Euclid's Elements of Geometry
Author: Euclid
Publisher:
Published: 2008
Total Pages: 546
ISBN-13:
DOWNLOAD EBOOKEUCLID'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
Author: John Casey
Publisher:
Published: 2019-08-05
Total Pages: 212
ISBN-13: 9781088465103
DOWNLOAD EBOOKThis 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
Philosophy of Mathematics and Deductive Structure in Euclid's Elements
Author: Ian Mueller
Publisher: Courier Dover Publications
Published: 2006
Total Pages: 404
ISBN-13:
DOWNLOAD EBOOKA survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions -- rather than focusing strictly on historical and mathematical issues -- and features several helpful appendixes.
Euclid's Elements Book One with Questions for Discussion
Author: Dana Densmore
Publisher: Green Cat Books
Published: 2015
Total Pages: 0
ISBN-13: 9781888009460
DOWNLOAD EBOOKPresents Book One of Euclid's Elements for students in humanities and for general readers. This treatment raises deep questions about the nature of human reason and its relation to the world. Dana Densmore's Questions for Discussion are intended as examples, to urge readers to think more carefully about what they are watching unfold, and to help them find their own questions in a genuine and exhilarating inquiry.
