Assignment 6: Locus of Points Equidistant from Point and Circle

by Shawn Broderick

I have chosen to do Problem 10 of this assignment. Here is a refresher so you can be up to speed:

10. Construct the locus of points equidistant from a fixed point F and a circle. In other words, repeat the parabola construction but use a circle as the "directrix." Let F be any point in the plane other than the center of the circle. Assume F is not on the circle; it can be either inside or outside.

This investigation is carried out in Geometer's Sketchpad:

assignment6.gsp