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This is a model representing a generalized cone. The cones are special cases of ruled surfaces. A ruled surface is a surface that can be swept out by a moving line in space. It has a parametrization of the form:
x(u,v) = b(u) + v δ(u),where b is called the director line (or directrix) and δ is the director curve.
x(u,v) = p + v δ(u),where p is a fixed point which can be regarded as the vertex of the cone. This model is given by an homogeneus equation of degree three:
Kegel dritter Ordnung vom Geschlechte Null. Kegel mit Rückkehrkante.
Generalized cone of order three of genus zero, with a return side.
Prof. Dr. H. Wiener
Darmstadt in 1899
Martin Schilling in Leipzig
Schilling, M., Catalog mathematischer Modelle für den höheren mathematischen Unterricht, Leipzig: Verlag von Martin Schilling, 1911