oscnoden.

Brit.

/ˈɒsknəʊd/, U.S.

/ˈɑskˌnoʊd/

Origin: Formed within English, by compounding. Etymons: osculation n., node n.

Etymology: < osc- (in osculation n.) + node n.

Geometry.

A node of a plane curve at which three branches meet, two of which have a common tangent there.

ΘΚΠ

the world > relative properties > number > geometry > point > [noun] > of intersection or contact > of specific lines or curves

cuspis1646

focus1656

point of reflection1674

umbilicus1704

cuspid1743

cusp1758

rhamphoid1814

biplanar1849

oscnode1852

tacnode1852

tangential of a point1858

cnicnode1869

uniplane1869

unode1869

1852 A. Cayley in Coll. Math. Papers (1889) II. 28 The oscnode is a double point which is a point of osculation on one of the branches through it.

1873 G. Salmon Treat. Higher Plane Curves 207 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.

1937 Amer. Jrnl. Math. 59 937 Each biflecnode or oscnode counts for three ordinary double points, i.e. contains two latent bitangents.

1978 Philos. Trans. (Royal Soc.) A. 289 241 We shall be mainly concerned with the double points A_n: for example, A₁ is a simple node, A₂ a cusp, A₃ a tacnode, A₄ a rhamphoidal cusp and A₅ an oscnode.

This entry has been updated (OED Third Edition, September 2004; most recently modified version published online March 2022).

单词	oscnode
释义	oscnoden. Brit. /ˈɒsknəʊd/, U.S. /ˈɑskˌnoʊd/ Origin: Formed within English, by compounding. Etymons: osculation n., node n. Etymology: < osc- (in osculation n.) + node n. Geometry. A node of a plane curve at which three branches meet, two of which have a common tangent there. ΘΚΠ the world > relative properties > number > geometry > point > [noun] > of intersection or contact > of specific lines or curves cuspis1646 focus1656 point of reflection1674 umbilicus1704 cuspid1743 cusp1758 rhamphoid1814 biplanar1849 oscnode1852 tacnode1852 tangential of a point1858 cnicnode1869 uniplane1869 unode1869 1852 A. Cayley in Coll. Math. Papers (1889) II. 28 The oscnode is a double point which is a point of osculation on one of the branches through it. 1873 G. Salmon Treat. Higher Plane Curves 207 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. 1937 Amer. Jrnl. Math. 59 937 Each biflecnode or oscnode counts for three ordinary double points, i.e. contains two latent bitangents. 1978 Philos. Trans. (Royal Soc.) A. 289 241 We shall be mainly concerned with the double points A_n: for example, A₁ is a simple node, A₂ a cusp, A₃ a tacnode, A₄ a rhamphoidal cusp and A₅ an oscnode. This entry has been updated (OED Third Edition, September 2004; most recently modified version published online March 2022). < n.1852
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