QL-P8: Centroid QL-Diagonal Triangle

 
QL-P8 is the Centroid of the Diagonal Triangle (QL-Tr1) of the Reference Quadrilateral.
 
QL-P8-DT-Centroid-00                       
Coordinates:
 
1st CT-coordinate:
            (l m + l n - m n)2 m n - 4 (l - m) (l - n) m2 n2       (note that this formula is independent of a,b,c)
 
1st DT-coordinate:
            1
 
Properties:
  • QL-P8 lies on these lines:
        QL-P1.QL-P24                
        QL-P9.QL-P10   = QL-L7              ( 1 : 2)
        QL-P12.QL-P14 = QL-L8              (-3 : 4)
        QL-P17.QL-P25                               ( 2 : 1)

 

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