Advanced Euclidean Geometry (Dover Books on Mathematics) - download pdf or read online

By Roger A. Johnson

For a long time, this ordinary treatise on complex Euclidean geometry has been the traditional textbook during this region of classical arithmetic; no different publication has coated the topic relatively to boot. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean idea, and interpreting intimately many fairly contemporary theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; various others stay unproved, for use by way of scholars as exercises.
The writer makes liberal use of round inversion, the speculation of pole and polar, and lots of different glossy and robust geometrical instruments through the ebook. particularly, the strategy of "directed angles" deals not just a strong approach to evidence but additionally furnishes the shortest and such a lot stylish kind of assertion for a number of universal theorems. This available textual content calls for not more large practise than highschool geometry and trigonometry.

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

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