Number of quadrisecants of an algebraic curve


In geometry, a quadrisecant line of a curve is a line that passes through four points of the curve.
In algebraic geometry Arthur Cayley derived a formula for the number of quadrisecants of an algebraic curve in three-dimensional complex projective space, as a function of its degree and genus. For a curve of degree d and genus g, the number of quadrisecants can by calculated by Arthur Cayley’s formula.

Related formulas


nQNumber of quadrisecants (dimensionless)
dDegree of the aigebric curve (dimensionless)
gGenus of the curve (dimensionless)