# Math Help - The most difficult problem of ellipse

1. ## The most difficult problem of ellipse

Problem: Show how to construct as many points as desired on the ellipse y^2=px(k-x). Hint: think of y as the altitude of a right triangle with hypotenuse as base.

Please give the way that how to construct the locus of ellipse in Apollonius' time.

2. See this for example.