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

By Roger A. Johnson

For a long time, this basic treatise on complex Euclidean geometry has been the traditional textbook during this zone of classical arithmetic; no different publication has coated the topic really besides. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean concept, and analyzing intimately many particularly fresh theorems. numerous hundred theorems and corollaries are formulated and proved thoroughly; numerous others stay unproved, for use by means of scholars as exercises.
The writer makes liberal use of round inversion, the speculation of pole and polar, and lots of different smooth and robust geometrical instruments in the course of the publication. particularly, the strategy of "directed angles" deals not just a robust approach to evidence but in addition furnishes the shortest and such a lot dependent kind of assertion for a number of universal theorems. This available textual content calls for not more wide coaching than highschool geometry and trigonometry.

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