Download e-book for kindle: Advanced Euclidean Geometry (Dover Books on Mathematics) by Roger A. Johnson

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By Roger A. Johnson

For a long time, this undemanding treatise on complicated Euclidean geometry has been the traditional textbook during this region of classical arithmetic; no different booklet has lined the topic relatively in addition. It explores the geometry of the triangle and the circle, focusing on extensions of Euclidean idea, and reading intimately many fairly fresh 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 idea of pole and polar, and lots of different sleek and strong geometrical instruments in the course of the e-book. particularly, the strategy of "directed angles" deals not just a strong approach to evidence but additionally furnishes the shortest and such a lot based kind of assertion for a number of universal theorems. This available textual content calls for not more wide guidance than highschool geometry and trigonometry.

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

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