(In reply to re: GSP exploration
I found the hyperbola as well, using version 4.00. Using coordinates I was able to find, for a specific choice of B and C, something that resembles the parametric equation. Not ready to post yet.
One way to prove a hyperbola, find the foci F1 and F2 and show for every point P that |PF1-PF2|=constant.
One focus is the center of the circle.
Posted by Jer
on 2017-12-14 10:36:12