theorem Th62:
for
A,
B,
C being
Point of
(TOP-REAL 2) st
A,
C,
B is_a_triangle &
angle (
A,
C,
B)
< PI holds
(angle (B,A,C)) - (angle (C,B,A)) = 2
* (arctan ((cot ((angle (A,C,B)) / 2)) * ((|.(C - B).| - |.(C - A).|) / (|.(C - B).| + |.(C - A).|))))