The Thirteen Books of Euclid's Elements

The Thirteen Books of Euclid's Elements PDF Author: Euclid
Publisher: Createspace Independent Publishing Platform
ISBN: 9781546376675
Category :
Languages : en
Pages : 448

Book Description
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

The Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 558

Book Description

Euclid's Elements

Euclid's Elements PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544

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

The Thirteen Books of the Elements, Vol. 1

The Thirteen Books of the Elements, Vol. 1 PDF Author: Euclid
Publisher: Courier Corporation
ISBN: 0486158187
Category : Mathematics
Languages : en
Pages : 468

Book Description
Volume 1 of 3-volume set containing complete English text of all 13 books of the Elements plus critical analysis of each definition, postulate, and proposition. Vol. 1 includes Introduction, Books I and II: Triangles, rectangles.

Euclid's Elements in Greek

Euclid's Elements in Greek PDF Author: Richard Fitzpatrick
Publisher: Lulu.com
ISBN: 1411680871
Category : Mathematics
Languages : en
Pages : 411

Book Description
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.

Books 3-9

Books 3-9 PDF Author: Euclid
Publisher:
ISBN:
Category : Mathematics, Greek
Languages : en
Pages : 456

Book Description

Euclid's Elements with Exercises Instructor's Copy

Euclid's Elements with Exercises Instructor's Copy PDF Author: Kathryn Goulding
Publisher:
ISBN: 9780692925959
Category :
Languages : en
Pages :

Book Description
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.

Elements

Elements PDF Author: Theodore Gray
Publisher: Black Dog & Leventhal
ISBN: 1603764054
Category : Science
Languages : en
Pages : 1629

Book Description
With more than 1 million copies sold worldwide, The Elements is the most entertaining, comprehensive, and visually arresting book on all 118 elements in the periodic table. Includes a poster of Theodore Gray's iconic photographic periodic table of the elements! Based on seven years of research and photography by Theodore Gray and Nick Mann, The Elements presents the most complete and visually arresting representation available to the naked eye of every atom in the universe. Organized sequentially by atomic number, every element is represented by a big beautiful photograph that most closely represents it in its purest form. Several additional photographs show each element in slightly altered forms or as used in various practical ways. Also included are fascinating stories of the elements, as well as data on the properties of each, including atomic number, atomic symbol, atomic weight, density, atomic radius, as well as scales for electron filling order, state of matter, and an atomic emission spectrum. This of solid science and stunning artistic photographs is the perfect gift book for every sentient creature in the universe.
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