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Miquel's theorem | plane geometry | intermediate level
4 months ago
18
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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