The secrets of triangles
Subtitle: a mathematical journey
By: by Alfred S. Posamentier and Ingmar Lehmann
Contributors: Lehmann, Ingmar
Publisher: Prometheus Books
Published: 2012
Place of publication: Amherst, N.Y
Language: eng
Number of pages: 387
ISBN-13: 9781616145873
Subjects: Triangle; Trigonometry
Description: 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 shape of the triangle. This and many more interesting geometrical properties are revealed in this entertaining and illuminating book about geometry.
Notes: Includes bibliographical references and index.
Table of contents: title: Introduction to the triangle; title: Concurrencies of a triangle; title: Noteworthy points in a triangle; title: Concurrent circles of a triangle; title: Special lines of a triangle; title: Useful triangle theorems; title: Areas of and within triangles; title: Triangle constructions; title: Inequalities in a triangle; title: Triangles and fractals.