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.
|Number of quadrisecants (dimensionless)
|Degree of the aigebric curve (dimensionless)
|Genus of the curve (dimensionless)