If two curves [img]http://mathworld.wolfram.com/nimg251.gif/img] and of multiplicities and have only ordinary points or ordinary singular points and cusps in common, then every curve which has at least multiplicity
at every point (distinct or infinitely near) can be written
where the curves and have multiplicities at least and
at every point (distinct or infinitely near) can be written
where the curves and have multiplicities at least and
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