CD Skripsi
Beberapa Pengembangan Mixtilinear Incircle Pada Diagonal Segi Empat Siklik
ABSTRACT
This thesis discusses several developments of mixtilinear incircle on the diagonal
of a cyclic quadrilateral. The development carried out is to show the various
relationships that are formed between the radii mixtilinear incircle which can
be constructed on the diagonal of the cyclic quadrilateral. At any △ABC one
can construct three different mixtilinear incircle respectively. On any △ABC
construct circumcircle the triangle. Then a point D is constructed on circumcircle
△ABC so that by connecting the point D to the corner △ABC we
get a cyclic quadrilateral ABCD. Furthermore, from the cyclic quadrilateral
ABCD, the intersection points on the diagonals AC and BD are constructed
which are named the point O so that new triangles are obtained which can then
be constructed with various mixtilinear incircles. By obtaining the various radii
mixtilinear incircle formulations, it is shown that the ratio of the product of
the radii mixtilinear incircle of adjacent triangles is equal to the ratio of the
diagonals.
Keywords: Triangle, cyclic quadrilateral, mixtilinear incircle
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