Pappus and Descartes
Playground for constructing Loci
Pappus problem: Find the locus of points whose product of distances from the two parallel lines is equal to the square of their distance to the third line.
Pappus Problem
In the applet below, a point, P, is defined by its distances, x and y, from two orthogonal lines. Find the locus (set) of all points that satisfy the following condition: the product of distances to the two parallel lines is equal to the square of the distance to the third line.