The Secrets of Triangles: A Mathematical Journey

Alfred S. Posamentier Ingmar Lehman


The Secrets of Triangles: A Mathematical Journey

The Secrets of Triangles: A Mathematical Journey

  • Title: The Secrets of Triangles: A Mathematical Journey
  • Author: Alfred S. Posamentier Ingmar Lehman
  • ISBN: 9781616145873
  • Page: 259
  • Format: Hardcover



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 of tangency to the opposite vertices of the triangle, these lines will always meet at a common point no matter what the shapeEveryone 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 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, this book 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 than a knowledge of high school mathematics and written in clear and accessible language, this book will give all readers a new insight into some of the most enjoyable and fascinating aspects of geometry.


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    Published :2018-08-17T04:40:48+00:00