The infographic below shows a triangle ABC
with cevians BD and BE. If the incircles O_{1}, O_{2}, and O_{3} of the
triangles ABD, DBE, and EBC, respectively, are equal, prove that
the incircles Q_{1} and Q_{2} of the triangles ABE and DBC are equal.
A cevian is a line segment with one endpoint on a vertex of a triangle and the other endpoint on the opposite side.
