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

% NDG: points H_b and E_a 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(E_a,A), the circle k(M_c,A), the point H_b, the point E_a and the point M_c, construct a point A (rule W08);

% NDG: circles k(E_a,A) and k(M_c,A) intersect

% DET: circles k(E_a,A) and k(M_c,A) are not the same points H_b and A must be different

Using the point A and the point E_a, construct a point H (rule W01);

Using the point M_c and the point A, construct a point B (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 M_c and the point A, construct a line c (rule W02);

% DET: points M_c and A are not the same

Using the circle k(E_a,A), the line c, the point E_a and the point A, construct a point H_c (rule W05);

% NDG: line c and circle k(E_a,A) intersect

% DET: points A and H_c must be different

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

% DET: points H and H_c are not the same

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

% NDG: lines b and h_c are not parallel

% DET: lines b and h_c are not the same