Using the point C and the point T_b, construct a line b (rule W02);

% DET: points C and T_b are not the same

Using the point T_c and the line b, construct a circle k(T_c,foot[T_c,b]) (rule W11);

% NDG: point T_c is not incident to the line b

Using the circle k(T_c,foot[T_c,b]), the point C, the point T_c and the line b, construct a line a (rule W13);

% NDG: point C is outside the circle k(T_c,foot[T_c,b])

Using the point T_b and the line a, construct a circle k(T_b,foot[T_b,c]) (rule W11);

% NDG: point T_b is not incident to the line a

Using the circle k(T_b,foot[T_b,c]), the point T_c and the point T_b, construct a line c2 and a line c (rule W12);

% NDG: point T_c is outside the circle k(T_b,foot[T_b,c])

Using the line c and the line b, construct a point A (rule W03);

% NDG: lines c and b are not parallel

% DET: lines c and b are not the same

Using the line a and the line c, construct a point B (rule W03);

% NDG: lines a and c are not parallel

% DET: lines a and c are not the same