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 H_b on the circle k(N,M_a) (rule WOncircle)

Using the point H_b and the point E_c, construct a circle k(E_c,C) (rule W06);

% NDG: points H_b and E_c are not the same

Using the circle k(N,M_a), the circle k(E_c,C), the point H_b, the point N and the point E_c, construct a point H_a (rule W08);

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

% DET: circles k(N,M_a) and k(E_c,C) are not the same points H_b and H_a must be different

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

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

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

% DET: points A and H_b are not the same

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

% DET: points H_a and B are not the same

Using the line b and the line a, construct a point C (rule W03);

% NDG: lines b and a are not parallel

% DET: lines b and a are not the same