QL-P19: Midpoint of QL-P1 and QL-P7


QL-P19 is the Midpoint of QL-P1 and QL-P7.

Special about this point is that it lies on QL-L3, the QL-Pedal Line.

Besides that it has a distance relation with the M3D Line (QL-L9).

Infovisual QL-P19-infovisual-cvt-01.png
1st CT-coordinate

(a2 m n – SB l m – SC l n) (3 m n – l m – l n)

1st DT-coordinate

Sa (m2-n2)2 – Sb (l2-n2) n2 – Sc (l2-m2) m2

Properties
  • QL-P19 lies on this line:
  • QL-P19.QL-P20 // QL-P7.QL-P21
  • QL-P19 lies on QL-L3, the QL-Pedal Line.
  • QL-P19 is the Quadrangle Centroid of the “flat quadrangle” formed by the 4 projection points of QL-P1 (collinear on QL-L3, the QL-Pedal Line) on the basic lines of the Reference Quadrilateral.
  • d(QL-P19, QL-L9) = ¾ * d(QL-P8, QL-L9)



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