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.

**Fred Barnes**

- 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.

- 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.

- 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