
Secrets of Triangles
A Mathematical Journey
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.
We earn from qualifying purchases.
- 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
Nearest books
Matched by what the books are about, then ordered by what their readers also loved.
Challenging Problems in AlgebraAlfred S. Posamentier, Charles T. Salkind57% match
The Equations WorldBoris Pritsker60% matchShares Geometry
Secrets of Mental MathArthur Benjamin, Michael Shermer58% match
Geometry for DummiesMark Ryan66% matchShares Geometry
Math Without NumbersMilo Beckman65% match
The Joy of XSteven Strogatz64% match
One, Two, ThreeDavid Berlinski61% match
SymmetryMarcus du Sautoy59% match
For younger readers: Basher Science: Algebra and Geometry, Janice Vancleave's Geometry for Every Kid, Pythagoras and the Ratios
Start with three books, and this one can be the first.
Members get a new edition every morning: a route out from their books to essays, research and talks, with the reason for each.
Start with this bookAbout 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.
Continue reading
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
| Geometry | 100% |
|---|
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