Using the point E_a and the point E_b, construct a line m(E_aE_b) (rule W14);

% DET: points E_a and E_b are not the same

Using the point E_a and the point E_c, construct a line m(E_aE_c) (rule W14);

% DET: points E_a and E_c are not the same

Using the line m(E_aE_c) and the line m(E_aE_b), construct a point N (rule W03);

% NDG: lines m(E_aE_c) and m(E_aE_b) are not parallel

% DET: lines m(E_aE_c) and m(E_aE_b) are not the same

Using the point E_b and the point N, construct a line m(H_aH_c) (rule W02);

% DET: points E_b and N 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

Using the circle k(N,M_a), the line m(H_aH_c), the point N and the point E_b, construct a point M_b (rule W05a);

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

% DET: points E_b and M_b must be different

Using the point E_c and the point M_b, construct a line m(CH_a) (rule W02);

% DET: points E_c and M_b are not the same

Using the point E_a and the line m(CH_a), construct a line h_a (rule W16);

Using the circle k(N,M_a), the line h_a, the point N and the point E_a, construct a point H_a (rule W05);

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

% DET: points E_a and H_a must be different

Using the point H_a and the point E_b, construct a circle k(E_b,B) (rule W06);

% NDG: points H_a and E_b are not the same

Using the circle k(E_b,B), the line h_a, the point E_b and the point H_a, construct a point H (rule W05);

% NDG: line h_a and circle k(E_b,B) intersect

% DET: points H_a and H must be different

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

Using the point E_b and the point H, construct a point B (rule W01);

Using the point E_c and the point H, construct a point C (rule W01);