The Gergonne point of a triangle | plane geometry | intermediate level

Repost
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

Loading comments...