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

% DET: points H_c and M_c are not the same

Using the point H_c and the line c, construct a line h_c (rule W10b);

Choose freely a point E_c on the line h_c (rule WOnline2)

Using the point E_c and the point M_c, construct a line m(H_bH_a) (rule W02);

% DET: points E_c and M_c are not the same

Using the point E_c and the point H_c, construct a line m(E_cH_c) (rule W14);

% DET: points E_c and H_c are not the same

Using the line m(E_cH_c) and the line m(H_bH_a), construct a point N (rule W03);

% NDG: lines m(E_cH_c) and m(H_bH_a) are not parallel

% DET: lines m(E_cH_c) and m(H_bH_a) are not the same

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

% NDG: points E_c and N are not the same

Choose freely a point A on the line c (rule WOnline1)

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

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

% NDG: points A and M_c are not the same

Using the circle k(N,M_a) and the circle k(M_c,A), construct a point H_a and a point H_b (rule W07);

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

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

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

% DET: points A and H_a are not the same

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

% NDG: lines h_c and h_a are not parallel

% DET: lines h_c and h_a are not the same

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