Download PDF by Roger A. Johnson: Advanced Euclidean Geometry (Dover Books on Mathematics)

By Roger A. Johnson

ISBN-10: 0486462374

ISBN-13: 9780486462370

For a long time, this effortless treatise on complex Euclidean geometry has been the traditional textbook during this sector of classical arithmetic; no different ebook has coated the topic really besides. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean concept, and analyzing intimately many fairly contemporary theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; quite a few others stay unproved, for use by way of scholars as exercises.
The writer makes liberal use of round inversion, the idea of pole and polar, and plenty of different smooth and strong geometrical instruments in the course of the ebook. specifically, the tactic of "directed angles" bargains not just a strong approach to facts but in addition furnishes the shortest and so much based kind of assertion for numerous universal theorems. This obtainable textual content calls for not more wide coaching than highschool geometry and trigonometry.

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Advanced Euclidean Geometry (Dover Books on Mathematics) by Roger A. Johnson


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