Ogilvy C. Excursions in Geometry 1990 torrent

Textbook in PDF format

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.
Straightedge
Compass
And A Little Thought Are All That's Needed To Discover
The intellectual Excitement Of Geometry.
Harmonic Division And Apollonian Circles,
Inversive Geometry,
Hexlet,
Golden Section