Algebraic Geometry

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

By Roger A. Johnson

For decades, this hassle-free treatise on complex Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different publication has coated the topic rather to boot. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean thought, and analyzing intimately many quite fresh 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 speculation of pole and polar, and lots of different sleek and strong geometrical instruments through the e-book. particularly, the strategy of "directed angles" bargains not just a strong 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 vast practise than highschool geometry and trigonometry.

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