Secrets of Triangles by Alfred S. Posamentier

Secrets of Triangles

A Mathematical Journey

Alfred S. Posamentier, Ingmar Lehmann

Globe Pequot Publishing · Print & ebook · August 24, 2012

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.

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Who it’s for
Explore unexpected triangle properties and clever constructions in clear, accessible high-school mathematics.
Themes
Triangle geometry, Geometric constructions, Problem-solving skills
Genres
Geometry

About this book

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.

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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, 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 more 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.

Triangle Secrets

Explore unexpected triangle properties and clever constructions in clear, accessible high-school mathematics.

Come here for

  • Surprising relationships among triangle lines, points, and circles
  • Straightedge-and-compass triangle constructions

Expect

  • Geometric relationships involving lines, points, and circles
  • Triangle constructions that exercise problem-solving skills

Where it sits

Geometry100%

Percentages are BookFrontier’s reading of the book.

Publisher categories

  • Analytic Geometry
  • History & Philosophy of Math
Authors
Alfred S. Posamentier, Ingmar Lehmann
Publisher
Globe Pequot Publishing
Published
August 24, 2012
Format
Print & ebook
Theme
Triangle geometry · Geometric constructions · Problem-solving skills
Reading lane
Analytic Geometry