Processing math: 100%

Pages

Bookmark and Share

Tuesday, May 5, 2015

four tangent circles

Given four circles: L_1,L_2,L_3,L_4 such that L_1 is tangent to L_2 at X, L_2 is tangent to L_3 at Y, L_3 is tangent to L_4 at Z and L_4 is tangent to L_1 at W. All tangencies are outside (the circles do not overlap each other other than at the points of tangency).

Show that X,Y,Z,W all lie on a circle.

No comments:

Post a Comment