The QL-Centroids (QL-P12) of the 3 Quadrigons of the Reference Quadrangle form a triangle, which is the QL-P12-Triple Triangle.
For definition QL-Px-Triple Triangle see QA-1.
Areas:
Area QL-P12-Triple Triangle in CT-notation:
2 p q r Δ / (18 (p + q) (p + r) (q + r))
Area QL-P12-Triple Triangle in DT-notation:
S / 18
Properties:
- QA-Tr4 and QA-Tr1 are homothetic triangles. So both Euler lines are parallel.
- The Homothetic Center (Perspector) of QA-Tr1 and QA-Tr4 is QA-P43.
- Centroid QL-P12-Triple Triangle = QA-P26 = 2nd QA-Quasi Centroid.
- Circumcenter QL-P12-Triple Triangle lies on QA-P1.QA-P13.QA-P39.
- Orthocenter QL-P12-Triple Triangle is intersection point: