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

% DET: points H_c and T_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 H_c, construct a line m(E_cH_c) (rule W14);

% DET: points E_c and H_c are not the same

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

Using the point A and the point H_c, construct a line m(AH_c) (rule W14);

% DET: points A and H_c are not the same

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

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

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 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

Using the circle k(N,M_a) and the line m(AH_c), construct a point M_b and a point E_a (rule W04);

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

Using the point A and the point M_b, construct a point C (rule W01);