CD Tesis
Multiple Kosnita Menggunakan Circumcenter Dan Orthocenter Melalui Excenter
Special lines, such as angle bisectors, altitudes, medians, and perpendicular bisector can be
constructed in a triangle. These special lines are concurrent with their corresponding
concurrent points, and called incenter and excenter, orthocenter, centroid, and circumcenter.
This thesis discusses how to construct the multiple Kosnita using circumcenter and
orthocenter passing through excenter. The concurrent point is the multiple Kosnita using
circumcenter and orthocenter passing through excenter. Then, it is proved the three lines
meet in single point using three simple ways: congruent triangles, cycle through line and
parallel lines. Finally, it is found that the concurrent multiple Kosnita construction consists of
the modified of circumcenter-circumcenter, orthocenter-circumcenter, and orthocentercentroid.
Keywords: Kosnita’s theorem, excenter, circumcenter, orthocenter
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