0 < Beta < 1
the square root of ( 1 - beta squared) is a rational number
and beta is a rational number
Beta does not equal 1
Beta does not equal 0
Beta is a real number
Beta can equal 0.8 and Beta can equal 0.6
Are there any other solutions that use rational numbers and give rationoal numbers?
Square root of (1 -( pythagorean triple / pythagorean triple ) squared ) = pythagoeran triple / pythagorean triple
(1 - ( a/c )^2)^(1/2) = b/c
where a, b and c are pythagorean triples
https://en.wikipedia.org/wiki/Pythagorean_triple