QA-P37: Reflection of QA-P12 in QA-P1


QA-P37 is the Reflection of QA-P12 (Orthocenter of the QA-Diagonal Triangle)) in QA-P1 (Quadrangle Centroid).
 QA-P37 Reflection of QA-P12 in QA-P1-01
Coordinates: 
1st CT-Coordinate:
            S2 p q r (p + q) (p + r) (q + r) (2 p + q + r)
- (p + q + r) (a2 q r + SB p q + SC p r) (2 SA p2 q r - a2 q2 r2 + b2 p2 r2 + c2 p2 q2)
1st DT-Coordinate:
            (S2 + a2 SA) p4 - 2 a2 SA p2 (q2 + r2) - SB SC ( q2 - r2)2

Properties:
  • QA-P37 lies on these QA-lines:
        QA-P1.QA-P12          (-1 : 2 = Reflection of QA-P12 in QA-P1)
        QA-P11.QA-P20        (-1 : 2 = Reflection of QA-P20 in QA-P11)
        QA-P24.QA-P33       (-1 : 2 = Reflection of QA-P24 in QA-P33)

 


 

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