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

By Roger A. Johnson

For a long time, this easy treatise on complex Euclidean geometry has been the traditional textbook during this quarter of classical arithmetic; no different publication has lined the topic relatively in addition. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean idea, and analyzing intimately many really fresh theorems. numerous 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 in the course of the e-book. particularly, the strategy of "directed angles" bargains not just a strong approach to evidence but additionally furnishes the shortest and so much stylish kind of assertion for numerous universal theorems. This available textual content calls for not more broad 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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