Cayleyian Curve

The Envelope of the lines connecting corresponding points on the Jacobian Curve and Steinerian Curve. The Cayleyian curve of a net of curves of order $n$ has the same Genus (Curve) as the Jacobian Curve and Steinerian Curve and, in general, the class $3n(n-1)$.

References

Coolidge, J. L. A Treatise on Algebraic Plane Curves. New York: Dover, p. 150, 1959.