QG-P17: Projection Point of QG-P1 on QG-L1


QG-P17 is the projection of QG-P1 on QG-L1.
This point and its properties were found by Eckart Schmidt (October 5, 2012).

 
QG-P17-Projection of QG-P1 on QG-L1-03 

Coordinates:
CT-Coordinates in 1st QA-Quadrigon:
  • (-p (c2 p2 q (q + r) + r (b2 p2 (q + r) - a2 q (p2 + q r)))  :  p q r (a2 q (p - r) + c2 q (-p + r) - b2 (p q + 2 p r + q r))  :  (-p - q) (b2 p + a2 q) r3 + c2 p q r (p q + r2))
DT-Coordinates in 1st QA-Quadrigon:
  • (SC : 0 : SA)
CT-Coordinates in 1st QL-Quadrigon:
  • (m n (a2 l2 - c2 n2)  :  l n (a2 (l - m) (l - n) + c2 (l - n) (m - n) - b2 (l m - l n + m n))  :  -l m(a2 l2 - c2 n2))
DT-Coordinates in 1st QL-Quadrigon:
  • (SC : 0 : SA)
 
Properties:
        QG-P1.QL-P10.QA-P12
        QG-P2.QG-P3 (=QG-L1)