By Roger A. Johnson

For decades, this trouble-free treatise on complicated Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different ebook has lined the topic fairly besides. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean concept, and analyzing intimately many fairly 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 idea of pole and polar, and lots of different sleek and strong geometrical instruments during the publication. specifically, the tactic of "directed angles" bargains not just a robust approach to evidence but additionally furnishes the shortest and so much stylish type of assertion for a number of universal theorems. This available textual content calls for not more large coaching than highschool geometry and trigonometry.

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