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

% DET: points E_a and M_a are not the same

Using the point E_a and the point M_a, construct a line m(E_aM_a) (rule W14);

% DET: points E_a and M_a are not the same

Using the line m(E_aM_a) and the line m(H_bH_c), construct a point N (rule W03);

% NDG: lines m(E_aM_a) and m(H_bH_c) are not parallel

% DET: lines m(E_aM_a) and m(H_bH_c) are not the same

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

% NDG: points E_a and N are not the same

Choose freely a point M_c on the circle k(N,M_a) (rule WOncircle)

Choose freely a point A (rule free)

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

Using the point A and the point M_a, construct a point G (rule W01);

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