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The Lemoine point of a triangle | plane geometry | advanced level
Episode 98.
The Lemoine point of a triangle | plane geometry | advanced level.
Branch of mathematics: plane geometry.
Difficulty level: advanced.
Definition. A symmedian $BM'$ of triangle $ABC$ in the line symmetrical to the median $BM$ with respect to the bisector $BD$.
Theorem. The symmedians of a triangle intersect at a single point (which is called the Lemoine point of that triangle).
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
tags:
mathematics,geometry,plane geometry,classical geometry,Euclidean geometry,triangle,line,circle,circumcircle,tangent,tangency point,symmedian,median,bisector,tangential,tangential triangle,symmetry,axis,Lemoine,Lemoine point
The same video on YouTube:
https://youtu.be/RltvjOoiarc
The same video on Telegram:
https://t.me/mathematical_bunker/121
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