Roger A. Johnson's Advanced Euclidean Geometry (Dover Books on Mathematics) PDF

By Roger A. Johnson

For decades, this common treatise on complicated Euclidean geometry has been the normal textbook during this sector of classical arithmetic; no different publication has lined the topic relatively to boot. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean concept, and studying intimately many really contemporary theorems. numerous hundred theorems and corollaries are formulated and proved thoroughly; a variety of 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 robust geometrical instruments during the booklet. specifically, the tactic of "directed angles" bargains not just a robust approach to facts but additionally furnishes the shortest and so much dependent kind 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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Advanced Euclidean Geometry (Dover Books on Mathematics) by Roger A. Johnson

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