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

% NDG: points H_c and E_a are not the same

Using the point H_c and the point M_b, construct a circle k(M_b,C) (rule W06);

% NDG: points H_c and M_b are not the same

Using the circle k(E_a,A), the circle k(M_b,C), the point H_c, the point E_a and the point M_b, construct a point A (rule W08);

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

% DET: circles k(E_a,A) and k(M_b,C) are not the same points H_c and A must be different

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

Using the point M_b and the point A, construct a point C (rule W01);

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

% DET: points H_c and A are not the same

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

% DET: points M_b and A are not the same

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

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

% DET: points A and H_b must be different

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

% DET: points H and H_b are not the same

Using the line c and the line h_b, construct a point B (rule W03);

% NDG: lines c and h_b are not parallel

% DET: lines c and h_b are not the same