
The Secrets of Triangles
A Mathematical Journey
Prometheus Books (Publisher)
Published on 24. October 2012
Book
Hardback
392 pages
978-1-61614-587-3 (ISBN)
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. 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.
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.
More details
Language
English
Place of publication
United States
Product notice
sewn/stitched
Cloth over boards
With dust jacket
Dimensions
Height: 236 mm
Width: 159 mm
Thickness: 30 mm
Weight
659 gr
ISBN-13
978-1-61614-587-3 (9781616145873)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

E-Book
08/2012
Prometheus Books
€16.80
Available for download
Persons
Alfred S. Posamentier is dean of the School of Education at Mercy College and a successful author. Ingmar Lehmann is a member of the Mathematics faculty at Humboldt University in Berlin and a prolific author.