Overview

This small book, translated into English for the first time, has long been a unique place to find classical results from geometry, such as Pythagoras' theorem, the nine-point circle, Morley's triangle, and many other subjects. In addition, this book contains recent, geometric theorems which have been obtained over the past years. There are 27 independent chapters on a wide range of topics in elementary plane Euclidean geometry, at a level just beyond what is usually taught in a good high school or college geometry course. The selection of topics is intelligent, varied, and stimulating, and the author provides many thought-provoking ideas.

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9780387569727

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<p>From the reviews of the second edition: <p><p> This small book includes Ceva 's and Menelaus 's theorems, the nine-point circle and Euler line, configuration theorems, Morley 's triangle, inequalities for elements in a triangle . The arguments are not only geometric or trigonometric ones but also different coordinate systems are considered such as barycentric or trilinear coordinates in relation to a given triangle. The book is very useful for teachers and teacher students who want to be inspired by the results of elementary geometry. (Herbert Hotje, Zentralblatt MATH, Vol. 1159, 2009)

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