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

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

% NDG: points H_c and E_a are not the same

Using the circle k(N,M_a), the circle k(E_a,A), the point H_c, the point N and the point E_a, construct a point H_b (rule W08);

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

% DET: circles k(N,M_a) and k(E_a,A) are not the same points H_c and H_b must be different

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

Using the point A and the point E_a, construct a point H (rule W01);

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

% DET: points A and H_c are not the same

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

% DET: points H_b and H are not the same

Using the line c and the line h_b, construct a point B (rule W03);

% NDG: lines c and h_b are not parallel

% DET: lines c and h_b are not the same

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