tacnode
tacnode noun: a point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point.
Noun
tacnode (plural tacnodes)
- A point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point.
- A tacnode is defined to be a singularity equivalent to the origin in the curve y²-x²#61;0, that is, the union of two smooth arcs meeting with contact of order two. Similarly, an oscnode is a singularity equivalent to y²-x⁶#61;0, i.e., consisting of two smooth branched with contact of order three...2012, Joe Harris, Algebraic Geometry: A First Course, page 262
Forms of tacnode
| plural | tacnodes |
|---|
Origin of tacnode
Latin tactus + English node
Questions about tacnode
- What does tacnode mean?
- Tacnode means a point of a curve where two or more osculating circles to the curve at that point are tangent, so that two branches of the curve have ordinary tangency at the double point.
- What part of speech is tacnode?
- Tacnode is a noun.
- What is the plural of tacnode?
- The plural of tacnode is tacnodes.
Words near tacnode in the dictionary
Source and license
Adapted from Wiktionary: tacnode (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.
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