QA-P7: QA-Nine-point Homothetic Center


The QA-Nine-point Homothetic Center (QA-P7) is the homothetic center of the Reference Quadrangle with the Quadrangle composed of four 2nd generation Nine-point Centers (point X(5) in ETC: Ref-12).

 
QA-P7-Euler-Point-Homothetic-Center-00 
 
Coordinates:   
1st CT-Coordinate:
a4 q r/p + 3 p S2 + q SB2 + r SC2 + (p + q + r) (3 S2 + 2 SB SC)
1st DT-Coordinate:
            -(3 S2 - SA2) p4 + (3 S2 + SA SB + SB c2) p2 q2 + (3 S2 + SA SC + SC b2) p2 r2 - a4 q2 r2
 
Properties:
  • QA-P7 lies on this line:
        QA-P1.QA-P4

 

 

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