Next: Generating all Pythagorean Triples Contents

Abstract:

Observations on Pythagorean triples, on the solutions of 120 degree and 60 degree integer-sided triangles, and on deriving complex numbers from the law of cosines.

Pythagorean Triples, etc.

Fred Barnes

fredlb@centurytel.net

Generating all Pythagorean Triples
Finding m and n if given a primitive Pythagorean triple
Pythagorean triples and the divisors 3, 4, and 5.
Primitive Pythagorean triangles where a - b is a constant.
- Pythagorean triple preserving matrices
Primitive Pythagorean triangles where the hypotenuse is to a power.
Area of a primitive Pythagorean triangle and the perfect numbers
Primitive Pythagorean triangles where the odd leg is to a power.
Multiplying Pythagorean Triples
Finding parametric equations for 120 and 60 degree triples
Finding m and n if given a 120 degree primitive triple
120 degree and 60 degree triples and the divisors 3, 5, and 7.
120 degree primitive triples,(a,b,c), where a - b=1.
- A 120 degree triangle preserving matrix
- 60 degree triangle preserving matrices.
120 degree triples and 60 degree triples from Fibonacci numbers
The complex numbers from the law of cosines
The difference of two squares.
A recipe for creating life from inanimate materials
Many Worlds
Hubble
Links
Bibliography
Contents
About this document ...

fred 2010-05-08