Algebraic curves in Japan during the Edo period

Abstract

AbstractIn early Japanese mathematics, some sections obtained by cutting a solid by a plane or cylinder were studied in geometry and in analysis. There were many problems concerning ellipses, though problems concerning parabolas and hyperbolas are few in number. Besides conic sections, there were sections of toruses and of conoids. The former become in a special case, a Cassinian curve; the latter, a curve of the fourth degree called a “quartique piriforme” in the theory of curves