Abstract:
This article discusses the development of mixtilinear incircle on the diagonal of a
cyclic quadrilateral. In this case, suppose an arbitrary △ABC is given and then
circumcircle is constructed for that triangle. Then the point D is constructed at
circumcircle △ABC to obtain a cyclic quadrilateral ABCD. Next, we construct
the intersection points of the two diagonals of the cyclic quadrilateral to obtain new
triangles that can be constructed with various mixtilinear incircles. By obtaining
each radius mixtilinear incircle it will be shown that the ratio of the product of the
adjacent radii mixtilinear incircle is equal to the ratio of the diagonals.
