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 M_c, construct a line m(E_cM_c) (rule W14);

% DET: points E_c and M_c are not the same

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

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

% DET: lines m(E_cM_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 E_b on the circle k(N,M_a) (rule WOncircle)

Using the point E_b and the point N, construct a line m(H_aH_c) (rule W02);

% DET: points E_b and N are not the same

Using the circle k(N,M_a), the line m(H_aH_c), the point N and the point E_b, construct a point M_b (rule W05a);

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

% DET: points E_b and M_b must be different

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_b, construct a point C (rule W01);