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

[email protected]

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.
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.
Areas of primitive Pythagorean triangles and the perfect numbers
A recipe for creating life from inanimate materials
Many Worlds
Links
Bibliography
Contents
About this document ...

f. barnes 2008-04-29

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