Using the point T_a and the point I, construct a line s_a (rule W02);

% DET: points T_a and I are not the same

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

Using the point A and the point I, construct a line m(AI) (rule W14);

% DET: points A and I are not the same

Choose freely a point B (rule free)

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

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

% DET: points B and A are not the same

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

% DET: points B and T_a are not the same

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

Using the line m_c and the line m(AI), construct a point N_c (rule W03);

% NDG: lines m_c and m(AI) are not parallel

% DET: lines m_c and m(AI) are not the same

Using the point N_c and the point I, construct a line s_c (rule W02);

% DET: points N_c and I are not the same

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

% NDG: lines a and s_c are not parallel

% DET: lines a and s_c are not the same