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The Bevan point of a triangle | plane geometry | intermediate level
10 months ago
34
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
triangle
line
triangle center
Bevan
Bevan point
Episode 115.
The Bevan point of a triangle | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem 1. Let $ABC$ be a triangle. Let $I_A$, $I_B$, $I_C$ be the centers of the excircles of the triangle $ABC$ and let $T_A'$, $T_B'$, $T_C'$ be the tangency points of those excircles with the sides. Then the lines $I_AT_A'$, $I_BT_B'$, $I_CT_B'$ intersect at a single point (which is called the Bevan point of the triangle $ABC$).
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/n9wnTmq2qdM
The same video on Telegram:
https://t.me/mathematical_bunker/140
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