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




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