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

By Roger A. Johnson

For a long time, this effortless treatise on complex Euclidean geometry has been the traditional textbook during this region of classical arithmetic; no different publication has lined the topic relatively besides. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean conception, and studying intimately many quite contemporary theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; various others stay unproved, for use through scholars as exercises.
The writer makes liberal use of round inversion, the idea of pole and polar, and lots of different sleek and strong geometrical instruments during the booklet. specifically, the tactic of "directed angles" deals not just a strong approach to evidence but in addition furnishes the shortest and such a lot dependent type of assertion for numerous universal theorems. This obtainable textual content calls for not more vast training than highschool geometry and trigonometry.

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