Etymology

Blend of osculation +‎ nodeCategory:English blends#OSCNODE.

Pronunciation

• Audio (US):

  (file)

  Category:English terms with audio pronunciation#OSCNODE

Noun

oscnode (plural oscnodes)Category:English lemmas#OSCNODECategory:English nouns#OSCNODECategory:English countable nouns#OSCNODECategory:English entries with incorrect language header#OSCNODECategory:Pages with entries#OSCNODECategory:Pages with 1 entry#OSCNODE

1. (geometryCategory:en:Geometry#OSCNODE) A node of a plane curve where two branches meet with contact order 3.
   • 1879, George Salmon, A Treatise on the Higher Plane Curves‎, page 214:

     Three nodes may coincide as consecutive points of a curve of finite curvature, giving rise, not to a triple point, but to the singularity called an oscnode; this is, in fact, an osculation or three-pointic contact of two branches of the curve.

     Category:English terms with quotations#OSCNODE

   • 1908, A. B. Basset, “Singular liens and curves on surfaces”, in The Quarterly Journal of Pure and Applied Mathematics‎, volume 39, page 338:

     Rhamphoid cuspidal lines possess two kinds of singular points which affect the class of the surface, and occur (i) when the rhamphoid cusp changes into an oscnode, (ii) when there are cubic nodes on the surface.

     Category:English terms with quotations#OSCNODE

   • 2012, Joe Harris, Algebraic Geometry: A First Course‎, page 262:

     A tacnode is defined to be a singularity equivalent to the origin in the curve ${\displaystyle y^{2}-x^{2}=0}$, that is, the union of two smooth arcs meeting with contact of order two. Similarly, an oscnode is a singularity equivalent to ${\displaystyle y^{2}-x^{6}=0}$, i.e., consisting of two smooth branched with contact of order three, and so on.

     Category:English terms with quotations#OSCNODE

Anagrams

• scooned, secondo