Advanced Euclidean Geometry (Dover Books on Mathematics) by Roger A. Johnson By Roger A. Johnson

For decades, this trouble-free treatise on complicated Euclidean geometry has been the normal textbook during this region of classical arithmetic; no different ebook has lined the topic relatively to boot. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean conception, and reading intimately many rather fresh theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; a number of 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 glossy and robust geometrical instruments during the e-book. particularly, the strategy of "directed angles" bargains not just a strong approach to facts but additionally furnishes the shortest and such a lot dependent type of assertion for numerous universal theorems. This obtainable textual content calls for not more vast instruction than highschool geometry and trigonometry.

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