Euclidean and Non-Euclidean Geometry International Student Edition PDF Download
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Author: Patrick J. Ryan
Publisher: Cambridge University Press
ISBN: 0521127076
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Author: Patrick J. Ryan
Publisher: Cambridge University Press
ISBN: 0521127076
Category : Mathematics
Languages : en
Pages : 237
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Book Description
This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic.
Author: Dionysius Lardner
Publisher:
ISBN:
Category : Geometry
Languages : en
Pages : 382
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Book Description
![The figures of Euclid with the enunciations, as printed in Euclid's Elements of plane geometry [book 1-4, 6] by W.D. Cooley PDF](https://books.google.com/books/content/images/frontcover/29sDAAAAQAAJ?fife=w80-h100)
Author: Euclides
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
Author: EUCLID.
Publisher:
ISBN:
Category :
Languages : en
Pages : 360
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Book Description
Author: Massachusetts. Board of Education
Publisher:
ISBN:
Category :
Languages : en
Pages : 540
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Book Description
Author: Massachusetts. Department of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 540
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Book Description
Author: Massachusetts. Department of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 540
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Book Description
Author: Massachusetts
Publisher:
ISBN:
Category : Massachusetts
Languages : en
Pages : 1038
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Book Description
Author: Massachusetts. Board of Education
Publisher:
ISBN:
Category : Education
Languages : en
Pages : 538
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Book Description
1st-72nd include the annual report of the Secretary of the Board.
Author: Henk J.M. Bos
Publisher: Springer Science & Business Media
ISBN: 1461300878
Category : Mathematics
Languages : en
Pages : 472
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Book Description
In his "Géométrie" of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry. Yet the key question of the book was foundational rather than technical: When are geometrical objects known with such clarity and distinctness as befits the exact science of geometry? Classically, the answer was sought in procedures of geometrical construction, in particular by ruler and compass, but the introduction of new algebraic techniques made these procedures insufficient. In this detailed study, spanning essentially the period from the first printed edition of Pappus' "Collection" (1588, in Latin translation) and Descartes' death in 1650, Bos explores the current ideas about construction and geometrical exactness, noting that by the time Descartes entered the field the incursion of algebraic techniques, combined with an increasing uncertainty about the proper means of geometrical problem solving, had produced a certain impasse. He then analyses how Descartes transformed geometry by a redefinition of exactness and by a demarcation of geometry's proper subject and procedures in such a way as to incorporate the use of algebraic methods without destroying the true nature of geometry. Although mathematicians later essentially discarded Descartes' methodological convictions, his influence was profound and pervasive. Bos' insistence on the foundational aspects of the "Géométrie" provides new insights both in the genesis of Descartes' masterpiece and in its significance for the development of the conceptions of mathematical exactness.
