The Newton-Gauss line | plane geometry | intermediate level

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

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