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The Gergonne point of a triangle | plane geometry | intermediate level
2 months ago
19
Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
triangle
line
intersection
cevian
Ceva
Episode 95.
The Gergonne point of a triangle | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem. Let $ABC$ be a triangle and let $T_A$, $T_B$, $T_C$ be the tangency points of its incircle with the sides $BC$, $CA$, $AB$ respectively. Then the lines $AT_A$, $BT_B$, $CT_C$ intersect at a single point (which is called the Gergonne point of the triangle $ABC$).
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/73Pn32ugA6c
The same video on Telegram:
https://t.me/mathematical_bunker/118
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