Using the point H_a and the point T_a, construct a line a (rule W02);

% DET: points H_a and T_a are not the same

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

% NDG: points H_a and M_c are not the same

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

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

% DET: points H_a and B must be different

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

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

% DET: points M_c and B are not the same

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

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

Using the circle k(T_a,foot[T_a,c]), the point A, the point T_a and the line c, construct a line b (rule W13);

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

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

% NDG: lines b and a are not parallel

% DET: lines b and a are not the same