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

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

Using the circle k(E_a,A), the circle k(E_b,B), the point H_c, the point E_a and the point E_b, construct a point H (rule W08);

% NDG: circles k(E_a,A) and k(E_b,B) intersect

% DET: circles k(E_a,A) and k(E_b,B) are not the same points H_c and H must be different

Using the point H and the point E_a, construct a point A (rule W01);

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

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

% DET: points E_b and H 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 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 A and the point H_b, construct a line b (rule W02);

% DET: points A and H_b 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