Miquel's theorem | plane geometry | intermediate level

5 months ago
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Science mathematics geometry classical geometry plane geometry Euclidean geometry circle inscribed cyclic cyclic quadrilateral quadrilateral

Episode 57.

Miquel's theorem | plane geometry | intermediate level.

Miquel's theorem. Let $ABC$ be a triangle. Let $A'$, $B'$, $C'$ be arbitrary points on the sides $BC$, $CA$, $AB$ respectively. Then the circumcircles of the triangles $AB'C'$, $BC'A'$, $CA'B'$ intersect in a single point.

Mathematics. Geometry. Plane geometry.
#Mathematics #Geometry #PlaneGeometry

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