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

By Roger A. Johnson

For a long time, this straight forward treatise on complicated Euclidean geometry has been the normal textbook during this sector of classical arithmetic; no different e-book has coated the topic relatively besides. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean thought, and analyzing intimately many fairly contemporary theorems. numerous hundred theorems and corollaries are formulated and proved thoroughly; numerous others stay unproved, for use through scholars as exercises.
The writer makes liberal use of round inversion, the idea of pole and polar, and plenty of different glossy and strong geometrical instruments during the ebook. specifically, the strategy of "directed angles" bargains not just a strong approach to evidence but additionally furnishes the shortest and such a lot dependent type of assertion for numerous universal theorems. This available textual content calls for not more wide education than highschool geometry and trigonometry.

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