theorem :: ANPROJ10:48

for V being RealLinearSpace
for P, Q, R being Element of V st P,Q,R are_collinear & P <> R & Q <> R & P <> Q holds
( affine-ratio (P,Q,R) <> 0 & affine-ratio (P,Q,R) <> 1 ) by Th06, Th07;