Locus of the Center of a Moving Circle as an Ellipse

2014-06-19 02:03
This GeoGebra applet demonstrates the locus problem of the center of a moving circle. Given a fixed point A(1,0) and a fixed circle, a moving circle is constructed such that it passes through point A and is tangent to the fixed circle. Using geometric construction and the Locus command, the applet visualizes that the locus of the centers of all such moving circles forms an ellipse. This example in