?[T] Show that the area of the lunes of Alhazen, the two blue lunes in the following

Chapter 5, Problem 121

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[T] Show that the area of the lunes of Alhazen, the two blue lunes in the following figure, is the same as the area of the right triangle ABC. The outer boundaries of the lunes are semicircles of diameters AB and AC, respectively, and the inner boundaries are formed by the circumcircle of the triangle ABC.

                                                       

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