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

% DET: points H_b and T_b are not the same

Using the point H_b and the point M_c, construct a circle k(M_c,A) (rule W06);

% NDG: points H_b and M_c are not the same

Using the circle k(M_c,A), the line b, the point M_c and the point H_b, construct a point A (rule W05);

% NDG: line b and circle k(M_c,A) intersect

% DET: points H_b and A must be different

Using the point A and the point M_c, construct a point B (rule W01);

Using the point M_c and the point A, construct a line c (rule W02);

% DET: points M_c and A are not the same

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

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

Using the circle k(T_b,foot[T_b,c]), the point B, the point T_b and the line c, construct a line a (rule W13);

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

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

% NDG: lines a and b are not parallel

% DET: lines a and b are not the same