Mathematics

The geometry of a Lune involves a confluence of three concepts: (a) a circle; (b) a chord of the circle; and (c) a semi-circle on the chord. The ‘special’ interest in the relation between the area of the lune and the area of the triangle formed by the chord at the center of the circle, is their ‘equality’.

A simple geometrical proof is presented to show that the sum of the areas of a pair of lunes, bounded by arcs of the semi circles upon sides of a right-angled triangle inscribed in a circle, is equal to the area of the triangle.