Аннотация:
The celebrated Poncelet porism is usually studied for a pair of smooth conics that
are in a general position. Here we discuss Poncelet porism in the real plane — affine or projective,
when that is not the case, i. e., the conics have at least one point of tangency or at least one of
the conics is not smooth. In all such cases, we find necessary and sufficient conditions for the
existence of an $n$-gon inscribed in one of the conics and circumscribed about the other.