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

By Roger A. Johnson

For decades, this simple treatise on complex Euclidean geometry has been the traditional textbook during this sector of classical arithmetic; no different booklet has coated the topic relatively besides. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean concept, and interpreting intimately many quite fresh theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; various others stay unproved, for use by means 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 during the e-book. particularly, the strategy of "directed angles" deals not just a robust approach to facts but in addition furnishes the shortest and such a lot based kind of assertion for a number of universal theorems. This available textual content calls for not more huge practise than highschool geometry and trigonometry.

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