QA-P24: AntiComplement of QA-P1 wrt the Morley Triangle

 
QA-P24 is the AntiComplement of QA-P1 wrt the Morley Triangle (QA-Tr3).   
 
QA-P24-02
 
Coordinates:                        
1st CT-Coordinate:
(q TB + r TC) ((q + r)TA + (p + r)TB + (p + q)TC
                                         –  2 q r (TB + TC)2  –  4 TB TC (r (p + r) + q (p + q))
where:       TA = (q + r) SA                   TB = (p + r) SB                            TC = (p + q) SC
 
1st DT-Coordinate:
            (p2 - (q + r)2) (p2 - (q - r)2) SB SC - 4 (-a4 q2 r2 + b2 SC p2 r2 + c2 SB p2 q2)
 
 
Properties:
  • QA-P24 lies on this QA-line:
        QA-P1.QA-P14          (3 : -2 => QA-P24 = AntiCompl. of QA-P1 wrt QA-Tr3)
        QA-P33.QA-P37       (-1 : 2 => QA-P24 = Reflection of QA-P37 in QA-P33)
        QL-P2.QG-P5            (-1 : 2 => QA-P24 = Reflection of QG-P5 in QL-P2)
 

 

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