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			Miquel's theorem | plane geometry | intermediate level
								1 year ago							
						
														22						
								
								
												Health & 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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