More loci in the style of Antreas
- Given a point P in the plane of a triangle ABC, call
P' the complement of P, and A'B'C' the cevian triangle
of P'. What is the locus of all P such that the
from A, B, C to the lines PA', PB', PC' concur?
Variation: Let P' be the isotomic conjugate of P
instead. Again, we have the locus of all P such that
from A, B, C to the lines PA', PB', PC' concur.
Both (1a) and (2a) loci are degenerated sextics
consisting of the three medians of triangle ABC
together with (the line at infinity)^3.
Anybody to calculate (1b) and (2b)?