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

Using the point E_b and the point B, construct a point H (rule W01);

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

% DET: points A and H are not the same

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

% DET: points E_b and B are not the same

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

% NDG: points A and M_c 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 H_a and the point B, construct a line a (rule W02);

% DET: points H_a and B are not the same

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

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

% DET: points B and H_b must be different

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 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