Alhazen's Moons Alhazen was a prominent Arab mathematician, astronomer, and physicist of the Islamic Golden Age, who built on many elementary geometry problems from Euclid. One of his creations was Alhazen's two moons, built on the right-angled triangle MEI? as shown below. The outer boundaries of the two moons are semicircles of diameters equal to the altitude and the base of mast respectively, while their inner boundaries are formed by the circumcircle of M36. 3v 1. Establish a polar coordinate system with the origin at vertex B and nd the polar equation of the circumcircle centred at the intersection of the three right-bisectors of the edges of M36. By observation, the line y = :x is tangential to the circumcircle at B. 2. Choose an appropriate vector eld and use the Green's Theorem to nd the combined area ofthe two moons using polar coordinates. Comment on your results