QG-L1: The 3rd diagonal

The 3rd diagonal of a Quadrigon is the connecting line of S1 and S2, where S1 and S2 are the intersection points of the opposite sides of the Reference Quadrigon.

Coefficients:
CT-Coefficients QG-L1 in 3 QA-Quadrigons:
• (-q r : p r : p q)
• (q r : -p r : p q)
• (q r : p r : -p q)
CT-Coefficients QG-L1 in 3 QL-Quadrigons:
• (0 : m : n)
• ( l : 0 : n)
• ( l : m : 0)
DT-Coefficients QG-L1 in 3 QA-Quadrigons:
• (0 : 1 : 0)
• (1 : 0 : 0)
• (0 : 0 : 1)
DT-Coefficients QG-L1 in 3 QL-Quadrigons:
• (0 : 1 : 0)
• (1 : 0 : 0)
• (0 : 0 : 1)

Properties:
• These points lie on QG-L1: QG-P2, QG-P3, QG-P17, QG-2P2a, QG-2P2b, QG-3Pa, QG=3Pb.
• The three 3rd Diagonals in the QA-environment form the QA-Diagonal Triangle.
• The three 3rd Diagonals in the QL-environment form the QL-Diagonal Triangle.
• QG-L1 is the polar (see Ref-13, Polar) of any inscribed QG-conic.
• QG-L1 is the polar (see Ref-13, Polar) of any circumscribed QG-conic.
• QG-L1 is the QL-Tf1 image of the circle QG-Ci3.

Vernieuwen