QL-P11: Nine-point Center QL-Diagonal Triangle

QL-P11 is the Nine-point Center of the Diagonal Triangle (QL-Tr1) of the Reference Quadrilateral.

QL-P11-DT-Ninepoint Center-00

Coordinates:
 
1st CT-coordinate:
a2 l2 m n (2 m n SA + n l SB + l m SC - b2 m2 - c2 n2)
- m2 n2 (8 Δ2 (l m + l n - m n) - b2 l m SB - c2 l n SC)
1st DT-coordinate:
            S2 + Sb Sc

Properties:
The ratio of distances between QL-P9, QL-P8, QL-P11, QL-P10 in this order is 2 : 1 : 3.

 

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