Linear transformation of Pythagorean Triple into Pythagorean Triple.
Linear transformation of Pythagorean Triple into Pythagorean Triple. If x^2 + y^2 = z^2, and q1 = (1/2)(a^2 - b^2 - c^2 + d^2), q2 = (a c - b d), q3 = (1/2)(a^2 - b^2 + c^2 - d^2), q4 = (a b - c d), q5 = (a d + b c), q6 = (a b + c d), q7 = (1/2)(a^2 + b^2 - c^2 - d^2), q8 = (a c + b d), q9 =... Sign in to see full entry.