Coordinates:
1st CT-Coordinate:
4 S2 p q r (q + r) (2 p + q + r) (-p2 + q r - p q - p r)
+ 2 (p + q + r) (a2 (2 q r + p q + p r) - (b2 - c2) p (q - r)) (a2 q r (p2 + q r) - b2 p2 r (q + r) - c2 p2 q (q + r))
1st DT-Coordinate:
a4 p2 (-p2 + q2 + r2) + a2 (b2 + c2) (p4 - (q2 - r2)2) - (b2 - c2)2 (p2 (q2 + r2) - (q2 - r2)2)
Properties:
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QA-P39 lies on these lines:
- Given Bimedians M12*M34, M13*M24, M14*M23 of the Reference Quadrangle. Let T1.T2.T3 be the Euler Triangle of the Diagonal Triangle S1.S2.S3. The corresponding lines parallel to the Bimedians through T1, T2 and T3 concur in QA-P39 (Seiichi Kirikami, September 30, 2012). For explanation “Bimedian” and “Euler Triangle” see Ref-13.