† prohessiann.

Origin: Formed within English, by derivation. Etymons: pro- prefix¹, Hessian n.²

Etymology: < pro- prefix¹ + Hessian n.² N.E.D. (1908) gives the pronunciation as (prohe·siăn) /prəʊˈhɛsɪən/.

Mathematics. Obsolete.

The Hessian of a function defining a developable surface.

ΚΠ

1862 G. Salmon Treat. Analytic Geom. Three Dimensions xii. 338 The Hessian of any surface being of the degree 4n–8, that of a developable consists of the surface itself, and a surface of 3n–8 degree which we shall call the Pro-Hessian.

1863 A. Cayley in Proc. Royal Soc. 12 280 The function PU, which for the developable replaces, as it were, the hessian HU, is termed the prohessian.

This entry has been updated (OED Third Edition, June 2007; most recently modified version published online June 2018).

单词	prohessian
释义	† prohessiann. Origin: Formed within English, by derivation. Etymons: pro- prefix¹, Hessian n.² Etymology: < pro- prefix¹ + Hessian n.² N.E.D. (1908) gives the pronunciation as (prohe·siăn) /prəʊˈhɛsɪən/. Mathematics. Obsolete. The Hessian of a function defining a developable surface. ΚΠ 1862 G. Salmon Treat. Analytic Geom. Three Dimensions xii. 338 The Hessian of any surface being of the degree 4n–8, that of a developable consists of the surface itself, and a surface of 3n–8 degree which we shall call the Pro-Hessian. 1863 A. Cayley in Proc. Royal Soc. 12 280 The function PU, which for the developable replaces, as it were, the hessian HU, is termed the prohessian. This entry has been updated (OED Third Edition, June 2007; most recently modified version published online June 2018). < n.1862
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