Taxicab circles, ellipses, and hyperbolas
To explore Taxicab circles:
Use the slider labeled a and either of the two points G or B.
To explore Taxicab Ellipses:
Use the points G and B close enough that when you use slider a they will over lap.
To explore Taxicab Hyperbolas:
Use points S and Z and move the point R on the line to the left of the applet.
This is somewhat incomplete, you will notice that there are places where you can put the points S and Z so that the intersection of the two circles are not marked by points.