If two curves 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 .

**References**

Coolidge, J. L. *A Treatise on Algebraic Plane Curves.* New York: Dover, pp. 29-30, 1959.

© 1996-9

1999-05-25