The figure describes the construction of the two circles which are tangent to the line at point X and also tangent to (c).

The blue/pink parabola is the locus of the centers of the solution-circles which are tangent to c externally/internally.

The calculation below leads to the representation of the blue parabola as a graph of a quadratic function y=px

The calculation below leads to the representation of the pink parabola as a graph of a quadratic function y=px

Produced with EucliDraw© |