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

% DET: points H_a and M_a are not the same

Using the point H_a and the line a, construct a line h_a (rule W10b);

Choose freely a point E_a on the line h_a (rule WOnline2)

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 H_a, construct a line m(E_aH_a) (rule W14);

% DET: points E_a and H_a are not the same

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

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

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

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

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

Using the point N and the point H, construct a point O (rule W01);

Using the point A and the point O, construct a circle k(O,C) (rule W06);

% NDG: points A and O are not the same

Using the circle k(O,C) and the line a, construct a point C and a point B (rule W04);

% NDG: line a and circle k(O,C) intersect