Geometry Problem 1361: Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps.

Proposition

The figure below shows a triangle ABC. Circle of diameter AC intersects AB and BC at D and E, respectively. C1 is the nine-point circle of triangle ABC and C2 is the nine-point circle of triangle DBE. Circles C1 and C2 intersect at F and G. Prove that the angles DBG and EBF are congruent.
 


Geometry Problem 1361: Triangle, Two Nine-Point Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps
 


Sketch and Typography of problem 1361 using iPad Apps


Sketch and typography of Geometry Problem 1361 using iPad Apps, Tutor