QL-P25: 2nd QL-Parabola Focus
For an explanation of the 2nd QL-Parabola see QL-Co3.
Coordinates:
1st CT-coordinate:
a2 m n (l - m) (l - n) (l5 m5 - 3 l5 m4 n + l4 m5 n + 2 l5 m3 n2 - 4 l4 m4 n2 + 2 l3 m5 n2 + 2 l5 m2 n3 + 6 l4 m3 n3 - 6 l3 m4 n3 - 2 l2 m5 n3 - 3 l5 m n4 - 4 l4 m2 n4 - 6 l3 m3 n4 + 16 l2 m4 n4 - 3 l m5 n4 + l5 n5 + l4 m n5 + 2 l3 m2 n5 - 2 l2 m3 n5 - 3 l m4 n5 + m5 n5)
– l m n (l - m) (l - n) (m - n) m2 n2 (4 b2 n (l - m) (3 l m - l n - m n))
– l m n (l - m) (l - n) (m - n) m2 n2 (4 c2 m (l - n) (l m - 3 l n + m n))
1st DT-coordinate:
l2 (m2-n2) (b2 n2 (-l2+m2) +c2 m2 (l2-n2))
Properties:
- QL-P25 lies on the line:
- QL-P25 lies on the Axis of QL-Co3 which is a line _|_ QL-P1.QL-P7.
- QL-P25 lies on the QL-Medial Circle QL-Ci2.
- QL-P25 lies on the Polar of QL-P17 wrt the Polar Circle of the QL-Diagonal Triangle (note Eckart Schmidt).