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

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

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 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 H and the point E_b, construct a circle k(E_b,B) (rule W06);

% NDG: points H and E_b are not the same

Using the circle k(E_b,B), the line h_a, the point E_b and the point H, construct a point H_a (rule W05);

% NDG: line h_a and circle k(E_b,B) intersect

% DET: points H 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(E_b,B), the line c, the point E_b and the point B, construct a point H_c (rule W05);

% NDG: line c and circle k(E_b,B) intersect

% DET: points B and H_c must be different

Using the point H_c and the point H, construct a line h_c (rule W02);

% DET: points H_c and H are not the same

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

% NDG: lines a and h_c are not parallel

% DET: lines a and h_c are not the same