On the other hand , if A lies completely outside B the equidistant set ( A = B ) is a hyperbola .
If A and B are circles such that A is completely within B then the equidistant set ( A = B ) is an ellipse .
If A lies completely outside B the equidistant ellipse ( A = ellipse ) is a ellipse .
If A and B are circles such that A is completely within B then the equidistant set ( A = B ) is an ellipse .