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

% DET: points A and H_b are not the same

Using the point H_b and the line b, construct a line h_b (rule W10b);

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

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

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

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

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

% NDG: lines c and h_b are not parallel

% DET: lines c and h_b are not the same

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

% DET: points T_a and B are not the same

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