A Cubic Surface of Revolution

2013/01/02 by Mark B. Villarino, Villarino, Mark B.
Mathematics · #FOS: Mathematics #History and Overview (math.HO) #math.HO

paper · pdf · doi:10.48550/arxiv.1301.0243

We12 pages. We have added a second elementary proof that the surface is of revolution. We have added a two proofs of a special case of the Salmon-Cayley theorem that every cubic surface has twenty-seven lines, a section on the singularities of cubic surfaces and material on the general problem of rational points on a cubic surface

arxiv created 2013/07/22 · arxiv updated 2013/07/23

Abstract

We develop a direct and elementary (calculus-free) exposition of the famous cubic surface of revolution x³+y³+z³-3xyz=1.12 pages. We have added a second elementary proof that the surface is of revolution.

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