| 
		 
		   | 
      
               
      
      
      Geometry Problems 51 - 60
				 | 
    	
    
      | 
		 
		   | 
      
		  | 
    	
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		Problem 51: 
		Fagnano's Problem 
		
		Inscribed Triangle with the Minimum Perimeter. Orthic triangle.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		Problem 52  
		Triangle, angles, incircle.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 53: Angle bisector, circles  | 
    
	  
      | 
		 
		
		   | 
      
		 
                
		                
		
		Typography of Problem 53: Angle bisector, circles  | 
      
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 54: Angle bisector, circles 
		Midpoint of arc.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 55: Angle bisector, circles 
		Cyclic Quadrilateral.  | 
    
	  
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 56: Angle bisector, circles 
		Parallel Lines.  | 
      
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		Typography of Problem 56: circles, tangent, parallel lines.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 57: Angle bisector, circles 
		Cyclic Quadrilateral.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 58: Right Triangle, Congruence, Perpendiculars.  | 
    
	
      | 
		 
		
		   | 
      
		 
                
		                
		
		
		Problem 59: Right and Equilateral Triangles, Midpoints.  | 
    
	
      | 
		 
		
		    | 
      
		 
                
		                
		
		
		Problem 60: Isosceles triangle.  | 
    
	  
      | 
		 
		
		   | 
      
		 
                
		                
		
		Geometric Art Problems 
		51-60.  | 
      
	
      | 
		 
		
		  
		 
		
		   | 
      
	    |