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

By Roger A. Johnson

For decades, this straightforward treatise on complex Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different publication has lined the topic particularly to boot. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean thought, and reading intimately many fairly fresh theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; numerous others stay unproved, for use by way of scholars as exercises.
The writer makes liberal use of round inversion, the speculation of pole and polar, and plenty of different glossy and robust geometrical instruments in the course of the ebook. particularly, the strategy of "directed angles" bargains not just a strong approach to evidence but additionally 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 large guidance than highschool geometry and trigonometry.

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