QA-P36 is the Complement of QA-P30 (Reflection of QA-P2 wrt the QA-Diagonal Triangle) wrt the Diagonal Triangle.
Coordinates:
1st CT-Coordinate:
16 Δ2 p2 q r (p + q) (p + r) (q + r) (b2 (p + q) r - c2 q (p + r)) (a2 (-q + r) + (b2 - c2) (q + r)) +
2 ((b2 - c2) p (q - r) - a2 (2 q r + p (q + r))) (c4 p q (p + r) (q + r) - c2 p q r (a2 (p + r) + b2 (q + r)) +
(p + q) r (a4 q (p + r) + b4 p (q + r) - 2 a2 b2 p q)) (-(c2 q + b2 r) p2 (q + r) + a2 q r (p2 + q r))
1st DT-Coordinate:
(b2 SB r2 + c2 SC q2 - b2 c2 p2) (a2 (SA p2 + SB q2 + SC r2) - 2 S2 p2)
Properties:
- QA-P36 lies on these QA-lines:
- QA-P36 lies on QA-Ci2 (QA-DT-Nine-point Circle).
- QA-P36 is the Center of the circumscribed orthogonal hyperbola of the QA-Diagonal Triangle through QA-P2 and QA-P12.
- QA-P36 lies on the Simson Line (QA-P6.QA-P36) of QA-P2 occurring on the circumcircle of the QA-Diagonal Triangle.
- QA-P36 is QA-P2 (Euler-Poncelet Point) of the Quadrangle formed by the vertices of the QA-Diagonal Triangle and QA-P2.
- The QA-Orthopole (QA-Tf3) of QA-P36 is the Midpoint (QA-P11.QA-P23).