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Geometric Transformations III : Affine and Projective Transformations /

This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Yaglom, I. M., Shenitzer, Abe
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge : Cambridge University Press, 2011.
Colección:Anneli Lax new mathematical library.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Geometric Transformations III :  |b Affine and Projective Transformations /  |c I.M. Yaglom, Translated by Abe Shenitzer. 
260 |a Cambridge :  |b Cambridge University Press,  |c 2011. 
300 |a 1 online resource 
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505 0 |a Front Cover -- Title page -- Copyright Page -- Contents -- Translatorâ€?s Preface -- From the Authorâ€?s Preface -- Introduction. What is Geometry? (Final Essay) -- Chapter I. Affine and Projective Transformations (Affinities and Projectivities) -- 1. Parallel projection of a plane onto a plane. Affine transformations of the plane -- 2. Central projection of a plane onto a plane. Projective transformations of a plane -- 3. Central projections which carry a circle into a circle. Stereographic projections 
505 8 |a 4. Reciprocation (polarity) of the plane. Principle of duality5. Projective transformation of a line and a circle. Straightedge construction -- Supplement. -- Non-Euclidean Geometry of Lobachevsky-Bolyai (Hyperbolic Geometry) -- Solutions. -- Chapter One. Affine and projective transformations -- Supplement. Hyperbolic geometry 
520 |a This book is the sequel to Geometric Transformations I and II, volumes 8 and 21 in this series, but can be studies independently. It is devoted to the treatment of affine and projective transformations of the plane these transformations include the congruencies and similarities investigated in the previous volumes. The simple text and the many problems are designed mainly to show how the principles of affine and projective geometry may be used to furnish relatively simple solutions of large classes of problems in elementary geometry, including some straight edge construction problems. In the Supplement, the reader is introduced to hyperbolic geometry. The latter part of the book consists of detailed solutions of the problems posed throughout the text. 
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650 7 |a Inversions (Geometry)  |2 fast 
700 1 |a Yaglom, I. M. 
700 1 |a Shenitzer, Abe. 
776 0 8 |i Print version:  |a Yaglom, I.M.  |t Geometric Transformations III.  |d Washington : Mathematical Association of America, ©2014  |z 9780883856246 
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