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August 28th 2012 | Kindle Edition | PDF, EPUB, FB2, DjVu, talking book, mp3, RTF | 387 pages | ISBN: | 4.53 Mb

Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing “secrets.” For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points ofMoreEveryone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing “secrets.” For example, if a circle is inscribed in any random triangle and then three lines are drawn from the three points of tangency to the opposite vertices of the triangle, these lines will always meet at a common point—no matter what the shape of the triangle.

This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, The Secrets of Triangles proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating.The authors, two veteran math educators, explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass.

Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.Requiring no more than a knowledge of high school mathematics and written in clear and accessible language, The Secrets of Triangles will give lay readers new insights into some of the most enjoyable and fascinating aspects of geometry.Alfred S.

Posamentier (River Vale, NJ) is the dean of the School of Education and professor of mathematics education at Mercy College in Dobbs Ferry, NY. He has published over fifty books in the area of mathematics and mathematics education, including The Pythagorean Theorem- Math Charmers- and (with Ingmar Lehmann) The Glorious Golden Ratio- Mathematical Amazements and Surprises- The Fabulous Fibonacci Numbers- and Pi: A Biography of the World’s Most Mysterious Number.Ingmar Lehmann (Berlin, Germany) is on the mathematics faculty at Humboldt University in Berlin.

He also heads the Berlin Mathematics Student Society for gifted secondary school students. A prolific author of books on mathematics and mathematics education, he is the coauthor with Alfred S. Posamentier of The Glorious Golden Ratio- Mathematical Amazements and Surprises- The Fabulous Fibonacci Numbers- and Pi: A Biography of the World’s Most Mysterious Number.

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