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

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

Using the point H_b and the point E_a, construct a line m(H_bE_a) (rule W14);

% DET: points H_b and E_a are not the same

Using the point H_b and the point H_c, construct a line m(H_bH_c) (rule W14);

% DET: points H_b and H_c are not the same

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

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

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

Using the point H_b and the point N, construct a circle k(N,M_a) (rule W06);

% NDG: points H_b and N are not the same

Using the circle k(N,M_a), the line m(H_bH_c), the point N and the point E_a, construct a point M_a (rule W05a);

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

% DET: points E_a and M_a 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_b, construct a line b (rule W02);

% DET: points A and H_b are not the same

Using the point H_c and the point H, construct a line h_c (rule W02);

% DET: points H_c and H are not the same

Using the line b and the line h_c, construct a point C (rule W03);

% NDG: lines b and h_c are not parallel

% DET: lines b and h_c are not the same

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