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

% DET: points H_a and T_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)

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 A and the point T_a, construct a line s_a (rule W02);

% DET: points A and T_a are not the same

Using the point E_a, the point A, the point T_a, the line s_a and the line h_a, construct a line AO (rule W17);

% NDG: points A and T_a are not the same points E_a and A are not the same

% DET: points A and T_a are not the same

Using the point E_a and the line AO, construct a line m(H_bH_c) (rule W16);

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

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

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

Using the point M_a and the point A, construct a point G (rule W01);

Using the point H and the point G, 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