  If P is a point inside triangle ABC, then the cevians through P extended to
the circumcircle of triangle ABC create a figure containing a number of
curvilinear triangles. Each curvilinear triangle is bounded by an arc of the
circumcircle and two line segments lying along the sides or cevians of the
original triangle. We give theorems about the relationships between the radii
of circles inscribed in various sets of these curvilinear triangles.
