theorem Th38:
for
p1,
q1,
r1,
p2,
q2,
r2 being
Element of
absolute for
s1,
s2 being
Element of
real_projective_plane st
p1,
q1,
r1 are_mutually_distinct &
p2,
q2,
r2 are_mutually_distinct &
s1 in (tangent p1) /\ (tangent q1) &
s2 in (tangent p2) /\ (tangent q2) holds
ex
N being
invertible Matrix of 3,
F_Real st
(
(homography N) .: absolute = absolute &
(homography N) . p1 = p2 &
(homography N) . q1 = q2 &
(homography N) . r1 = r2 &
(homography N) . s1 = s2 )