Download E-books Advanced Euclidean Geometry (Dover Books on Mathematics) PDF

By Roger A. Johnson

For decades, this hassle-free treatise on complex Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different publication has lined the topic rather to boot. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean thought, and analyzing intimately many rather contemporary theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; numerousĀ others stay unproved, for use via scholars as exercises.
The writer makes liberal use of round inversion, the speculation of pole and polar, and lots of different sleek and robust geometrical instruments in the course of the e-book. specifically, the tactic of "directed angles" deals not just a strong approach to facts but in addition furnishes the shortest and so much based type of assertion for a number of universal theorems. This obtainable textual content calls for not more huge education than highschool geometry and trigonometry.

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