QA-P18: Involutary Conjugate of QA-P19


QA-P18 is the Involutary Conjugate of QA-P19.
 
QA-P18-InvConj-ofQA-P19-01

As a consequence the line QA-P18.QA-P19 is the common tangent of the circumscribed conics P1.P2.P3.P4.QA-P18 and P1.P2.P3.P4.QA-P19.
 QA-P18-00

QA-P18 is the intersection point of the tangents at the vertices of the QA-Diagonal Triangle and QA-P19 to the QA-DT-P19 Cubic (QA-Cu4).
 
 
Coordinates: 
1st CT-coordinate:
            p (q2 + r2) (2 p + q + r) (p2 + p q + p r - q r)
1st DT-coordinate:
            p2 / (-p2 + q2 + r2)

Properties:
  • QA-P18 lies on this QA-line:
        QA-P1.QA-P5 = QA-L3

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