Using the point H_b and the point E_c, construct a circle k(E_c,C) (rule W06);

% NDG: points H_b and E_c are not the same

Using the point H_b and the point M_a, construct a circle k(M_a,B) (rule W06);

% NDG: points H_b and M_a are not the same

Using the circle k(E_c,C), the circle k(M_a,B), the point H_b, the point E_c and the point M_a, construct a point C (rule W08);

% NDG: circles k(E_c,C) and k(M_a,B) intersect

% DET: circles k(E_c,C) and k(M_a,B) are not the same points H_b and C must be different

Using the point C and the point E_c, construct a point H (rule W01);

Using the point M_a and the point C, construct a point B (rule W01);

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

% DET: points H_b and C are not the same

Using the point M_a and the point C, construct a line a (rule W02);

% DET: points M_a and C are not the same

Using the circle k(E_c,C), the line a, the point E_c and the point C, construct a point H_a (rule W05);

% NDG: line a and circle k(E_c,C) intersect

% DET: points C and H_a must be different

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

% DET: points H and H_a are not the same

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

% NDG: lines b and h_a are not parallel

% DET: lines b and h_a are not the same