Quadrature of a Parabola
Hippocrates, the great Greek physician lived over 2300 years ago. He laid the foundation for constructing the quadrature of a lune. Another great mathematician and thinker, Archimedes came up with many new mathematical ideas that ahead of its time and so new to the public. For a lune to be produced, a parabola must be drawn. The Ancient Greeks viewed Parabolas, circles, ellipses, and hyperbolas as conics. Archemedes had the brilliant idea of trying to figure out how to calculate the area of a curve. Finding the area under a curve had been a ongoing problem that had yet to be solved. Fair trade partly relied on being able to work out volumes of cylinders and spheres. Archimedes worked out some approximations for the area of a circle and the value of π (pi). Through this idea of finding the area of a parabola, you can take any segment of a parabola cut off by a line AB, and if P is the point on the segment furthest from AB, then the area of the parabolic segment ABP is four-thir