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 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_c, construct a line c (rule W02);

% DET: points A 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 B on the line c (rule WOnline1)

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

% DET: points B and H are not the same

Using the circle k(E_a,A), the line h_b, the point E_a and the point H, construct a point H_b (rule W05);

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

% DET: points H and H_b must be different

Using the point H_b and the point A, construct a line b (rule W02);

% DET: points H_b and A are not the same

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

% NDG: lines h_c and b are not parallel

% DET: lines h_c and b are not the same