theorem Th46: :: EUCLID12:61

for A, B, C being Point of (TOP-REAL 2) st A,B,C is_a_triangle holds

(the_perpendicular_bisector (A,B)) /\ (the_perpendicular_bisector (B,C)) is being_point

(the_perpendicular_bisector (A,B)) /\ (the_perpendicular_bisector (B,C)) is being_point