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Geometric Gems (V1)

by Posamentier Alfred S

Unexpected connections in triangle geometry

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Paperback New English

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AlbakiReads Editorial

Unexpected connections in triangle geometry

A collection of triangle properties and curiosities, Geometric Gems explores how much plane geometry can reveal beyond the topics commonly introduced in school. Its 396 pages present these relationships alongside their justifications or proofs, using only basic school geometry as the stated prerequisite. The emphasis on both surprising properties and the reasoning behind them makes the book a reference point for exploring familiar geometric ideas in greater depth. The subject stays focused on triangles, giving the collection a clear organizing thread while opening onto a range of geometric relationships.

Good fit for readers who enjoy

  • Adults interested in geometry beyond standard school topics.
  • Mathematics teachers seeking material on triangle properties to enrich instruction.
  • Readers who know basic school geometry and want to explore proofs and geometric curiosities.

Themes

Triangle geometryPlane geometryMathematical proofs and reasoningGeometric relationships

Based on publisher information and book metadata.

Book overview

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic instruments in geometry, has a plethora of unexpected curiosities. Geometric Gems presents one of the largest collections of triangle curiosities currently available, which the authors discuss in an easily understood fashion, requiring nothing more of readers other than the very basics of school geometry to appreciate these curiosities and their justifications or proofs.

 

The book is intended to be widely appreciated by a general audience, and their love for geometry should be greatly enhanced through exploring these many unexpected relationships in geometry. Geometric Gems is also suitable for mathematics teachers, to enhance the education of their students with these highly motivating triangle properties.

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