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

% DET: points E_c and H_c are not the same

Using the point H_c and the line h_c, construct a line c (rule W10a);

Using the point G, the line h_c and the point E_c, construct a line h_G,-1/2(h_c) (rule W15);

Using the line h_G,-1/2(h_c) and the line c, construct a point M_c (rule W03);

% NDG: lines h_G,-1/2(h_c) and c are not parallel

% DET: lines h_G,-1/2(h_c) and c are not the same

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

Using the point E_c and the point C, construct a point H (rule W01);

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

Using the point C and the point O, construct a circle k(O,C) (rule W06);

% NDG: points C and O are not the same

Using the circle k(O,C) and the line c, construct a point A and a point B (rule W04);

% NDG: line c and circle k(O,C) intersect