19. MOVING LINE LOCUS

Here is a locus sketch from “Geometry Turned On.” Point F moves around the circle. Point C is constrained to stay on line KL. Distances CF and FH are fixed. What is the locus of point H as F moves around? Try different positions of the line, and different positions of H.

As a variation, constrain C to stay on a circle instead of a line. Here is an example: