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

% NDG: points H_c and E_b are not the same

Choose freely a point B on the circle k(E_b,B) (rule WOncircle)

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

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

% DET: points B and H_c 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

Choose freely a point A on the line c (rule WOnline1)

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

% DET: points A and H are not the same

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

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

% DET: points H and H_a must be different

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

% DET: points H_a and B are not the same

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

% NDG: lines h_c and a are not parallel

% DET: lines h_c and a are not the same