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

% DET: points E_a and H_a 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 A and the point E_a, construct a circle k(E_a,A) (rule W06);

% NDG: points A and E_a are not the same

Using the point H_a and the line h_a, construct a line a (rule W10a);

Choose freely a point B on the line a (rule WOnline2)

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

% DET: points B and A are not the same

Using the circle k(E_a,A), the line c, the point E_a and the point A, construct a point H_c (rule W05);

% NDG: line c and circle k(E_a,A) intersect

% DET: points A and H_c must be different

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

% DET: points H and H_c are not the same

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

% NDG: lines a and h_c are not parallel

% DET: lines a and h_c are not the same