Relationships between the number of singularities of plane algebraic curves. Given a plane curve,
where m is the class, n the curve order,
the number of ordinary double points,
the number of cusps,
the number of stationary tangents (inflection points),and 
the number of bitangents. Only three of these equations are linearly independent.
(1)
(2)
(3)
(4)
where m is the class, n the curve order,
the number of ordinary double points, the number of cusps, the number of stationary tangents (inflection points),and the number of bitangents. Only three of these equations are linearly independent.
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