With my Algorithm I can generate any Pithagorean Triple at any desired angle, including 37 deg, as big numbers as I want to increase precision for the given angle (getting always Primitive Pythagorean Triples, let´s call it PPT's), here 2 PPT's for 37 deg to fill the gap: (750999, 998000, 1249001) and (18784951, 24930000, 31215049) for angles of ~36.962 deg and ~36.998 deg respectivedly. I am Mechanical Engineer with deep love for math. Hope one day spare the time to publish and demonstrate my method. Surely the gap in 37 deg is because atan(3/4) = ~36.870 deg. On the other hand: Cos(36) = (1+5^(1/2))/4, just to let you know xD.