Euclid's Proposition III.37

Author:
jesparza
Euclid's Proposition III.37 states that creating an external point P intersecting a circle at point A first and then point B with another point on the circumference of the circle called point C, then the product of the length of segment PB with the length of segment PA is equal to the square of the length of segment PC if segment PC is tangent to the circle at point C. This applet is a maneuverable demonstration of this proposition. Points P, B and C are adjustable.