CONSTRUCTING HYPERBOLAS TO IMPLEMENT OMAR’S KHAYYAM’S SOLUTION OF CUBIC EQUATIONS
One step in Omar Khayyam’s solution of one kind of a cubic polynomial equation involved finding a hyperbola H, given the asymptotes of Hand a point on H. We show how Hcan be determined from such data by using straight-edge and compass.
hyperbola, asymptote, cubic equation.
