QA-P30 is the Reflection of QA-P2 (Euler-Poncelet Point) in QA-P11 (Circumcenter Diagonal Triangle).
Coordinates:
1st CT-Coordinate:
(2 a4 q r (p + q) (p + r) + b4 p r (q + p) (q + r) + c4 p q (r + p) (r + q)
- b2 c2 p (q + r) (p q + p r + 2 q r) + a2 b2 p (p + q) (r - 3 q) r + a2 c2 p q (q - 3 r) (p + r)) *
(a4 q r (p + q) (p + r) (p q + p r - 2 q r) + b4 p r (q + p) (q + r) (p q + 2 p r - q r) +
c4 p q (r + p) (r + q) (2 p q + p r - q r) + 2 b2 c2 p q r (p - q) (p - r) (q + r) -
2 a2 c2 p q r (p + r) (2 p q + p r - q r) - 2 a2 b2 p q r (p + q) (p q + 2 p r - q r))
1st DT-Coordinate:
1/(c2 b2 p2 - c2 SC q2 - SB b2 r2)
Properties:
- QA-P30 lies on these QA-lines:
- QA-P30 is the Involutary Conjugate of QA-P6 (Parabola Axes Crosspoint).
- QA-P30 lies on the circumcircle of the Diagonal Triangle (QA-Ci1).