Geometric Gems: An Appreciation For Geometric Curiosities Volume I: The Wonders of Triangles – (PDF/EPUB Version)

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.

Contents:

• Introduction
• Geometric Curiosities
• Proofs of the Geometric Curiosities
• Toolbox

Readership: The book is intended the general readership, mathematics teachers, and mathematicians interested in extending their appreciation for geometry.

Key Features:

• This book will present one of the largest collections of triangle curiosities currently available
• The book offers a mathematics toolbox which provides readers with all the necessary theorems and relationships from high school mathematics that could be useful in understanding the proofs