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Geometry revisited

Author: H S M Coxeter; Samuel L Greitzer
Publisher: [New York] : Random House, 1967.
Series: New mathematical library, 19.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
The chief purpose of this book is to revisit those regions of elementary geometry that were enjoyed by our ancestors, making use of the idea of transformations: an idea that facilitates geometric understanding and links the subject with other branches of mathematics. In particular, Chapter 5 introduces the reader to inversive geometry, which has an important application to analysis, and Chapter 6 introduces conics  Read more...
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Additional Physical Format: Online version:
Coxeter, H.S.M. (Harold Scott Macdonald), 1907-2003.
Geometry revisited.
[New York] Random House [1967]
(OCoLC)756460296
Document Type: Book
All Authors / Contributors: H S M Coxeter; Samuel L Greitzer
ISBN: 0394709195 9780394709192
OCLC Number: 543301
Description: xiv, 193 pages : illustrations ; 23 cm.
Contents: Points and lines connected with a triangle --
Some properties of circles --
Collinearity and concurrence --
Transformations --
An introduction to inversive geometry --
An introduction to projective geometry.
Series Title: New mathematical library, 19.
Responsibility: by H.S.M. Coxeter and S.L. Greitzer.

Abstract:

The chief purpose of this book is to revisit those regions of elementary geometry that were enjoyed by our ancestors, making use of the idea of transformations: an idea that facilitates geometric understanding and links the subject with other branches of mathematics. In particular, Chapter 5 introduces the reader to inversive geometry, which has an important application to analysis, and Chapter 6 introduces conics with special emphasis on the notions of focus and eccentricity, notions obviously relevant to the study of orbits of comets, planets, and satellites. The early chapters take the reader by easy stages from very simple ideas to the core of the subject. The problems throughout the book contain extensions of the text as well as challenges to the reader.

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