theorem Th36:
for
h being
Element of
SubGroupK-isometry for
N being
invertible Matrix of 3,
F_Real for
n11,
n12,
n13,
n21,
n22,
n23,
n31,
n32,
n33 being
Element of
F_Real for
u2 being
Element of
(TOP-REAL 2) st
h = homography N &
N = <*<*n11,n12,n13*>,<*n21,n22,n23*>,<*n31,n32,n33*>*> &
u2 in inside_of_circle (
0,
0,1) holds
((n31 * (u2 . 1)) + (n32 * (u2 . 2))) + n33 <> 0