Using the point M_c and the point N, construct a line m(H_bH_a) (rule W02);

% DET: points M_c and N are not the same

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

% NDG: points M_c and N are not the same

Using the circle k(N,M_a), the line m(H_bH_a), the point N and the point M_c, construct a point E_c (rule W05a);

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

% DET: points M_c and E_c must be different

Choose freely a point A (rule free)

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

Using the point A and the point M_c, construct a line c (rule W02);

% DET: points A and M_c are not the same

Using the circle k(N,M_a), the line c, the point N and the point M_c, construct a point H_c (rule W05);

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

% DET: points M_c and H_c must be different

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

% DET: points H_c and E_c are not the same

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

% NDG: points A and M_c are not the same

Using the circle k(N,M_a) and the circle k(M_c,A), construct a point H_a and a point H_b (rule W07);

% NDG: circles k(N,M_a) and k(M_c,A) intersect

% DET: circles k(N,M_a) and k(M_c,A) are not the same

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

% DET: points A and H_a are not the same

Using the line h_c and the line h_a, construct a point H (rule W03);

% NDG: lines h_c and h_a are not parallel

% DET: lines h_c and h_a are not the same

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

Using the point M_c and the point G, construct a point C (rule W01);