QL-L8: QL-Centroids Line


QL-L8 is the line through 4 Quadrilateral points, all related to Centroids.
These points are:
  • QL-P8 = Centroid QL-Diagonal Triangle
  • QL-P12 = QL-Centroid or Lateral Centroid
  • QL-P14 = 1st QL-Quasi Centroid
  • QL-P15 = 2nd QL-Quasi Centroid
 
QL-L8 CentroidsLine-01

Coefficients:
1st CT-coefficient:
            l (6 l4 m4 - 3 l3 m5 - 10 l4 m3 n - 5 l3 m4 n + 5 l2 m5 n + 8 l4 m2 n2 + 8 l3 m3 n2 - 4 l2 m4 n2 - l m5 n2 - 10 l4 m n3
           + 8 l3 m2 n3 - l m4 n3 - m5 n3 + 6 l4 n4 - 5 l3 m n4 - 4 l2 m2 n4 - l m3 n4 + 4 m4 n4 - 3 l3 n5 + 5 l2 m n5 - l m2 n5 - m3 n5)
1st DT-coefficient:
            (l2 - n2) (l2 n2 - m4) + (l2 - m2) (l2 m2 - n4)

Properties:


 

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