Excursions in geometry (Book, 1990) [WorldCat.org]
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Excursions in geometry

Author: C Stanley Ogilvy
Publisher: New York : Dover Publications, 1990.
Series: Dover classics of science and mathematics.
Edition/Format:   Print book : English : Dover editionView all editions and formats
Summary:
This book is intended for people who like geometry when they first encountered it (and perhaps even some who did not) but sensed a lack of intellectual stimulus and wondered what was missing, or felt that the play was ending juts when the plot was finally becoming interesting. In this superb treatment, Professor Ogilvy demonstrates the mathematical challenge and satisfaction to be had from geometry, the only  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: C Stanley Ogilvy
ISBN: 0486265307 9780486265308
OCLC Number: 22006239
Notes: An unabridge and corrected republication of the work originally published: New York : Oxford University Press, 1969.
Description: vi, 178 pages : illustrations ; 22 cm
Contents: A bit of background --
Harmonic division and Apollonian circles --
Application for inversive geometry --
The hexlet --
The conic sections --
Projective geometry --
Some Euclidean topics --
The golden section --
Angle trisection --
Some unsolved problems with modern geometry.
Series Title: Dover classics of science and mathematics.
Responsibility: C. Stanley Ogilvy.
More information:

Abstract:

This book is intended for people who like geometry when they first encountered it (and perhaps even some who did not) but sensed a lack of intellectual stimulus and wondered what was missing, or felt that the play was ending juts when the plot was finally becoming interesting. In this superb treatment, Professor Ogilvy demonstrates the mathematical challenge and satisfaction to be had from geometry, the only requirements being two single implements (straightedge and compass) and a little thought. Avoiding topics that require an array of new definitions and abstractions, Professo Ogilvy draws upon material an array of new definiitions and abstractions, Professor Ogilyv prove. Among the subjects treated are: harmonic division and Apollonian circles, inversion geometry, the hexlet, conic sections, projective geometry, the golden section and angle trisection. Also included are some unsolved problems of modern geometry, including Malfatti's problem and the Kakeya problem.

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