Triangles
ABC
and
A1B1C1
are perspective triangles if one of the following six
triples of lines concur in a point:
AA1, BB1, CC1,
AB1, BC1, CA1,
AC1, BA1, CB1,
AA1, BC1, CB1,
AC1, BB1, CA1,
AB1, BA1, CC1.
The point of concurrence P is called a prespector
(replacing center of perspective).