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

% DET: points M_c and H_c are not the same

Using the point M_c and the line c, construct a line m_c (rule W10b);

Choose freely a point O on the line m_c (rule WOnline2)

Using the point H_c and the line c, construct a line h_c (rule W10b);

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

Using the point A and the point M_c, construct a point B (rule W01);

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

% NDG: points A and O are not the same

Using the circle k(O,C) and the line h_c, construct a point C and a point C_k (rule W04);

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