Given a triangle ABC and a point D on its circumcircle, then the feet H,F,E of the perpendiculars drawn from D to the sides (or their extensions) are collinear. The line HFE is called the Simson line of D.
Robert Simson (1687 - 1768) was a Scottish mathematician and professor of mathematics at the University of Glasgow.
	     
 

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			Triangle
 
              
		                
				       		                
						
		Circumcircle
 
			Circle
			        
				
				Perpendicular lines
 
			
				Collinear Points
						
			Cyclic Quadrilateral
	  
	  Simson line
 
               
				       		                
									
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