nL-n-Luc5f   nL-Par1/Per1-construction

nL-n-Luc5f is a Level-up construction which uses the 1st generation parallel n-Line Par1 and the 1st generation perpendicular n-Line Per1 wrt some lower-level center to construct a Perspective / Homothetic Center. See nL-n-Luc5.

Example QL-P21.
QL P21 Adjunct Orthocenter HomotheticCenter 00

Note that QL-L2=Steiner line is the Perspective Axis of Par1/Per1.