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Droz-Farny line theorem | plane geometry | advanced level
Episode 122.
Droz-Farny line theorem | plane geometry | advanced level.
Branch of mathematics: plane geometry.
Difficulty level: advanced.
Droz-Farny line theorem. Let $ABC$ be a triangle with orthocenter $H$. Let $\ell_1$ and $\ell_2$ be two perpendicular lines passing through $H$. Let $D_1$, $E_1$, $F_1$ be the intersection points of $\ell_1$ and the lines $BC$, $CA$, $AB$ respectively. Let $D_2$, $E_2$, $F_2$ be the intersection points of $\ell_2$ and the lines $BC$, $CA$, $AB$ respectively. Then the midpoints of the segments $D_1D_2$, $E_1E_2$, $F_1F_2$ are collinear.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/Wgd2WKy_Dfk
The same video on Telegram:
https://t.me/mathematical_bunker/147
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