QA-P37 is the Reflection of QA-P12 (Orthocenter of the QA-Diagonal Triangle)) in QA-P1 (Quadrangle Centroid).
Coordinates:
1st CT-Coordinate:
S2 p q r (p + q) (p + r) (q + r) (2 p + q + r)
- (p + q + r) (a2 q r + SB p q + SC p r) (2 SA p2 q r - a2 q2 r2 + b2 p2 r2 + c2 p2 q2)
1st DT-Coordinate:
(S2 + a2 SA) p4 - 2 a2 SA p2 (q2 + r2) - SB SC ( q2 - r2)2
Properties:
- QA-P37 lies on these QA-lines:
- QA-P37 forms with QA-P12 and QA-P24 a Triangle that shares the same centroid with the Morley Triangle (QA-Tr3): QA-P14.
- QA-P37 is the Orthology Center of the QG-P15 Triple Triangle wrt the Triple Triangles of QG-P1/QG-P2/ QG-P4/QG-P8/QL-P12. See QA-Tr-1.