Author: EuclidPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 558
Book Description
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
Euclid's Elements
Author: EuclidPublisher:
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.
A Treatise of Geometry, Containing the First Six Books of Euclid's Elements
Author: Daniel CresswellPublisher:
ISBN:
Category : Geometry
Languages : en
Pages : 540
Book Description
The First Six Books of the Elements of Euclid
Author: John CaseyPublisher:
ISBN: 9781686928512
Category :
Languages : en
Pages : 212
Book Description
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
Elements of Geometry, Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle, and the Geometry of Solids, to which are Added, Elements of Plane and Spherical Trignonometry
Author: William WallacePublisher: BoD – Books on Demand
ISBN: 3385370507
Category : Fiction
Languages : en
Pages : 266
Book Description
Reprint of the original, first published in 1875.
Euclid—The Creation of Mathematics
Author: Benno ArtmannPublisher: Springer Science & Business Media
ISBN: 1461214122
Category : Mathematics
Languages : en
Pages : 352
Book Description
Euclid presents the essential of mathematics in a manner which has set a high standard for more than 2000 years. This book, an explanation of the nature of mathematics from its most important early source, is for all lovers of mathematics with a solid background in high school geometry, whether they be students or university professors.
Geometry: Euclid and Beyond
Author: Robin HartshornePublisher: Springer Science & Business Media
ISBN: 0387226761
Category : Mathematics
Languages : en
Pages : 535
Book Description
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.
A Sequel to the First Six Books of the Elements of Euclid ... By J. Casey.
Author: EUCLID.The Thirteen Books of Euclid's Elements
Author: EuclidPublisher: 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.
Euclid's Elements with Exercises Instructor's Copy
Author: Kathryn GouldingPublisher:
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.