QLP2: Morley Point
Let Ni be Ninepoint Center of triangle LjLkLl.
Let Lpi be the perpendicular line of Ni at Li.
Now all perpendicular lines Lpi (i=1,2,3,4) concur in one point QLP2.
This point was found by Frank Morley naming it the Second Orthocenter in his document Ref49, paragraph 3. It is described as a recursive point in an nLine. In his document he uses the letter “h” for this point.
QLP2 is also mentioned by J.W. Clawson in Ref31 (pp. 40 and 41) as the “mean center of gravity of equal masses placed at H1, H2, H3, H4”, where H1, H2, H3, H4 are the orthocenters of the Component Triangles of the Reference Quadrilateral.
Coordinates:
1st CTcoordinate:
+a^{4} l (2 l  m  n) + b^{2} c^{2} (2 l^{2}  3 l m  3 l n + 4 m n)
 b^{4} (l  2 m) (l  n) + a^{2} c^{2} (l^{2} m + l^{2} n  5 l m n + 2 m^{2} n + l n^{2}) /(m  n)
 c^{4} (l  2 n) (l  m) + a^{2} b^{2} (l^{2} m + l^{2} n  5 l m n + 2 m n^{2} + l m^{2})/(n  m)
1st DTcoordinate:
Sb Sc  (Sb^{2} m^{2} (l^{2}+n^{2}))/((l^{2}m^{2}) (m^{2}n^{2}))  (Sa Sb m^{2})/(l^{2}m^{2})
 (Sc^{2} n^{2} (l^{2}m^{2}))/((l^{2} n^{2 }) (m^{2}n^{2}))  (Sa Sc n^{2 })/(l^{2} n^{2})
Properties:
 QLP2 lies on these lines:

QLP2 is the Centroid of the Orthocenters of the 4 Component Triangles of the Reference Quadrilateral (Eckart Schmidt, September 18, 2012).
 QLP2 is the External Homothetic Center of Morley’s Second Circle (see QLP30) and the Miquel Circle QLCi3. See Ref49, Theorem 10.
 The QLP2 Triple Triangle in a Quadrangle is Orthologic wrt all QAComponent Triangles (Seiichi Kirikami, Ref34, QFG #980, # 982). See QATr1.
 The QLP2Triple Triangle in a Quadrangle is perspective with the QLP3Triple Triangle as well as the QLP29Triple Triangle in a Quadrangle with perspector QAP15.