acnoden.

Brit.

/ˈaknəʊd/, U.S.

/ˈæknoʊd/

Origin: A borrowing from Latin, combined with an English element. Etymons: Latin acus , node n.

Etymology: < classical Latin acus needle (see acicula n.) + node n. Compare crunode n.

Geometry.

An isolated point whose coordinates satisfy the equation of a particular curve, but which has no neighbouring points lying on the curve; = conjugate point at conjugate adj. 6a.

ΚΠ

1862 A. Cayley in Rep. 31st Meeting Brit. Assoc. Advancem. Sci. 1861 Notices & Abstr. 2 The nature of these five kinds of spherical cubics was first distinctly explained by Möbius. They may be designated the simplex, the complex, the crunodal, the acnodal, and the cuspidal; where crunode, acnode denote respectively the two species of double points (nodes), viz. the double point with two real branches, and the conjugate or isolated point.

1873 G. Salmon Treat. Higher Plane Curves 23 In this case no real point is consecutive to the origin, which is then called a conjugate point or acnode.

1943 Amer. Math. Monthly 50 612 A is an acnode or a crunode and is the only possible singularity of the cubic, since a straight line intersects a cubic in at most three real points.

1996 Mechanism & Machine Theory 31 382 If a coupler curve in a given stratum has a cusp and two acnodes, then so does every other coupler curve obtained from a coupler point in that stratum.

This entry has been updated (OED Third Edition, September 2009; most recently modified version published online December 2021).

单词	acnode
释义	acnoden. Brit. /ˈaknəʊd/, U.S. /ˈæknoʊd/ Origin: A borrowing from Latin, combined with an English element. Etymons: Latin acus , node n. Etymology: < classical Latin acus needle (see acicula n.) + node n. Compare crunode n. Geometry. An isolated point whose coordinates satisfy the equation of a particular curve, but which has no neighbouring points lying on the curve; = conjugate point at conjugate adj. 6a. ΚΠ 1862 A. Cayley in Rep. 31st Meeting Brit. Assoc. Advancem. Sci. 1861 Notices & Abstr. 2 The nature of these five kinds of spherical cubics was first distinctly explained by Möbius. They may be designated the simplex, the complex, the crunodal, the acnodal, and the cuspidal; where crunode, acnode denote respectively the two species of double points (nodes), viz. the double point with two real branches, and the conjugate or isolated point. 1873 G. Salmon Treat. Higher Plane Curves 23 In this case no real point is consecutive to the origin, which is then called a conjugate point or acnode. 1943 Amer. Math. Monthly 50 612 A is an acnode or a crunode and is the only possible singularity of the cubic, since a straight line intersects a cubic in at most three real points. 1996 Mechanism & Machine Theory 31 382 If a coupler curve in a given stratum has a cusp and two acnodes, then so does every other coupler curve obtained from a coupler point in that stratum. This entry has been updated (OED Third Edition, September 2009; most recently modified version published online December 2021). < n.1862
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