CD Tesis
Pengembangan Teorema Van Aubel Pada Segiempat Nonkonveks Dan Saling Silang
The Development of Van Aubel’s
Theorem Specifically in The Field of Nonconvex Quadrilateral
and Crossed Quadrilateral, supervised by Mashadi and Sri Gemawati.
This thesis discusses the development of Van Aubel’s theorem specifically in
the field of nonconvex quadrilateral and crossed quadrilateral, where from all
four sides semi-circle are built leading outward and inward respectively whose
diameter are the sides of the quadrilateral. If each point of intersection of semicircle
arc with a line perpendicular to the diameter and through the center of the
semi-circle is connected then there is a pair of line segments that are the same
length and perpendicular to each other. The proof of Van Aubel’s theorem on
in this paper is demonstrated by using the cosine rule theorem, the congruence
and similarity in triangles, the orthodiagonal quadrilateral theorem, area of the
triangle and the area of quadrilateral.
Keywords: Van Aubel’s Theorem, cosine rule, orthodiagonal theorem
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