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

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

% DET: points B and C are not the same

Using the point N and the point M_a, construct a line m(H_bH_c) (rule W02);

% DET: points N and M_a are not the same

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

% NDG: points B and M_a are not the same

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

% NDG: points M_a and N are not the same

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

% NDG: line a and circle k(N,M_a) intersect

% DET: points M_a and H_a must be different

Using the circle k(N,M_a), the line m(H_bH_c), the point N and the point M_a, construct a point E_a (rule W05a);

% NDG: line m(H_bH_c) and circle k(N,M_a) intersect

% DET: points M_a and E_a must be different

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

% DET: points E_a and H_a are not the same

Using the circle k(M_a,B) and the circle k(N,M_a), construct a point H_b and a point H_c (rule W07);

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

% DET: circles k(M_a,B) and k(N,M_a) are not the same

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

% DET: points B and H_b are not the same

Using the line h_a and the line h_b, construct a point H (rule W03);

% NDG: lines h_a and h_b are not parallel

% DET: lines h_a and h_b are not the same

Using the point N and the point H, construct a point G (rule W01);

Using the point C and the point G, construct a point M_c (rule W01);

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