Abstract:
This article discusses the development of the mixtilinear excircle concept on cyclic
quadrilaterals. The expansion was carried out to show the various relationships
formed from several mixtilinear excircle radii constructed from the side extensions
of the cyclic quadrilateral. At any △ABC is constructed three a mixtilinear excircle
that differs from point D on the circumcircle so that the cyclic quadrilateral ABCD
is obtained. By formulating the various radii of the mixtilinear excircle it is shown
that the ratio of the product of the radii of the mixtilinear excircle of adjacent
triangles is equal to the ratio of the diagonals.
