LEONARDO DA VINCI’S INGENIOUS WAY OF CARVING ONE - FOURTH AREA OF A SEGMENT IN A CIRCLE

Hippocrates of Chios (450 BC) has squared lunes, semicircle and full circle. Forgetting his squaring of circle, and 1. believing that 3.1415926 of polygon as Pi of the circle, 2. accepting wrong interpretation of Leonard Euler’s equation of Pi radians and calling Pi constant as transcendental number by C.L.F. Lindemann, squaring of circle has become as an unsolved geometrical problem. S. Ramanujan has partially succeeded in squarin g a circle. Leonardo da Vinci has carved out quarter area from a circle with the help of other circles. This paper is yet another attempt to prove that circle and its Pi are algebraic entities.