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The Newton-Gauss line | plane geometry | intermediate level
11 months ago
11
Health & Science
mathematics
geometry
plane geometry
classical geometry
Euclidean geometry
line
quadriletaral
diagonal
intersection point
midpoint
Episode 116.
The Newton-Gauss line | plane geometry | intermediate level.
Branch of mathematics: plane geometry.
Difficulty level: intermediate.
Theorem. Let $ABCD$ be a quadrilateral. Let $P$ be the intersection points of the diagonals $AC$ and $BD$. Let $Q$ be the intersection point of the extensions of the sides $AB$ and $CD$. Let $M$, $N$, $L$ be the midpoints of the segments $BC$, $AD$, $PQ$ respectively. Then the points $M$, $N$, $L$ are collinear.
Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry
The same video on YouTube:
https://youtu.be/_x-lcoCYges
The same video on Telegram:
https://t.me/mathematical_bunker/141
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