Behavior of lines with a common perpendicular in each of the three types of geometry rename

TID(s):

Controller: 1.412s

Template: 0.044s

Cost: br=1.0, cc=1.467, ch=0.0, cm=0.0, cm+h=0.0, cr=0.0, cs=40.0, cw=27.0, dr=53919.0, dt=2.803, dw=0.0, gqr=0.0, in=36524.0, ir=10040.0, iw=0.0, lh=0.0, lm=5.0, lr=5.0, mcs=0.004, mcu=0.446, minflt=1.0, mr=27.0, nivcsw=408.0, nreqs=51.0, nvcsw=135.0, pf=0.0, pr=0.0, stime=0.024, te=0.421, tf=1.21, tg=1.167, tm=1.647, tr=0.331, ts=0.0, tu=0.308, utime=1.443, va=96647.0