QA-P25: 1^st QA-Quasi Centroid

QA-P25 is the Centroid of the triangle formed by the 3 QA-versions of QG-P4 (1^st Quasi Centroid), constructed in the QA-Quadrigons of a Reference Quadrangle.

1st CT-Coordinate

(q + r) (2 p + q + r) (2 p (p + q + r) + 3 q r)

1st DT-Coordinate

(q² – r²)² – p⁴ + 10 p² (-p² + q² + r²)

Properties

• QA-P25 lies on QA-L3 (Centroids Line):
  • QA-P1.QA-P5       (1 : 8)
• QA-P5.QA-P25 : QA-P25.QA-P1 : QA-P1.QA-P10 = 8 : 1 : 3.
• QA-P25 is the Reflection of QA-P26 in QA-P1.
• QA-P25 is the Centroid of the Triangle formed by the 3 QA-versions of QG-P4 (note Eckart Schmidt).

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