The Pythagorean Theorem: Crown Jewel of Mathematics
by John C. Sparks
Publisher: AuthorHouse 2008
Number of pages: 190
Description:
The author chronologically traces the Pythagorean Theorem from a conjectured beginning, through 4000 years of Pythagorean proofs, from all major proof categories, 20 proofs in total. The text presents several mathematical results closely allied to the Pythagorean Theorem along with some major Pythagorean "spin-offs" such as trigonometry. The books contains some classic puzzles, amusements, and applications. An epilogue summarizes the importance of the Pythagorean theorem and suggests paths for further exploration.
Download or read it online for free here:
Download link
(1.5MB, PDF)
Similar books
An Elementary Treatise on Conic Sectionsby Charles Smith - The Macmillan Company
In the following work I have investigated the more elementary properties of the Ellipse, Parabola, and Hyperbola, defined with reference to a focus and directrix, before considering the General Equation of the Second Degree...
(5460 views)
Conic Sections Treated Geometricallyby W. H. Besant - George Bell and Sons
In the present Treatise the Conic Sections are defined with reference to a focus and directrix, and I have endeavoured to place before the student the most important properties of those curves, deduced, as closely as possible, from the definition.
(10064 views)
Rotations of Vectors Via Geometric Algebraby James A. Smith - viXra
Geometric Algebra (GA) promises to become a universal mathematical language. This document reviews the geometry of angles and circles, then treats rotations in plane geometry before showing how to formulate problems in GA terms, then solve them.
(2934 views)
A Tour of Triangle Geometryby Paul Yiu - Florida Atlantic University
We outline some interesting results with illustrations made by dynamic software. We center around the notions of reflection and isogonal conjugation, and introduce a number of interesting triangle centers, lines, conics, and a few cubic curves.
(3934 views)