Using the point H_b and the point H, construct a line h_b (rule W02);

% DET: points H_b and H 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 h_b, the point M_c and the point H_b, construct a point B (rule W05);

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

% DET: points H_b and B must be different

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

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

% DET: points H_b and A are not the same

Using the point H and the point A, construct a line h_a (rule W02);

% DET: points H and A are not the same

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

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

% DET: points A and H_a must be different

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

% DET: points B and H_a 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