By Roger A. Johnson

For a long time, this effortless treatise on complicated Euclidean geometry has been the normal textbook during this zone of classical arithmetic; no different publication has coated the topic particularly in addition. It explores the geometry of the triangle and the circle, targeting extensions of Euclidean idea, and interpreting intimately many rather fresh theorems. a number of hundred theorems and corollaries are formulated and proved thoroughly; a variety of 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 plenty of different glossy and strong geometrical instruments in the course of the publication. specifically, 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 vast education than highschool geometry and trigonometry.

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

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