Singular point in a curve

Singular point in a curve
Singular Sin"gu*lar (s[i^][ng]"g[-u]*l[~e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] --Bacon. [1913 Webster]

And God forbid that all a company Should rue a singular man's folly. --Chaucer. [1913 Webster]

2. Engaged in by only one on a side; single. [Obs.] [1913 Webster]

To try the matter thus together in a singular combat. --Holinshed. [1913 Webster]

3. (Logic) Existing by itself; single; individual. [1913 Webster]

The idea which represents one . . . determinate thing, is called a singular idea, whether simple, complex, or compound. --I. Watts. [1913 Webster]

4. (Law) Each; individual; as, to convey several parcels of land, all and singular. [1913 Webster]

5. (Gram.) Denoting one person or thing; as, the singular number; -- opposed to {dual} and {plural}. [1913 Webster]

6. Standing by itself; out of the ordinary course; unusual; uncommon; strange; as, a singular phenomenon. [1913 Webster]

So singular a sadness Must have a cause as strange as the effect. --Denham. [1913 Webster]

7. Distinguished as existing in a very high degree; rarely equaled; eminent; extraordinary; exceptional; as, a man of singular gravity or attainments. [1913 Webster]

8. Departing from general usage or expectations; odd; whimsical; -- often implying disapproval or censure. [1913 Webster]

His zeal None seconded, as out of season judged, Or singular and rash. --Milton. [1913 Webster]

To be singular in anything that is wise and worthy, is not a disparagement, but a praise. --Tillotson. [1913 Webster]

9. Being alone; belonging to, or being, that of which there is but one; unique. [1913 Webster]

These busts of the emperors and empresses are all very scarce, and some of them almost singular in their kind. --Addison. [1913 Webster]

{Singular point in a curve} (Math.), a point at which the curve possesses some peculiar properties not possessed by other points of the curve, as a cusp point, or a multiple point.

{Singular proposition} (Logic), a proposition having as its subject a singular term, or a common term limited to an individual by means of a singular sign. --Whately.

{Singular succession} (Civil Law), division among individual successors, as distinguished from universal succession, by which an estate descended in intestacy to the heirs in mass.

{Singular term} (Logic), a term which represents or stands for a single individual. [1913 Webster]

Syn: Unexampled; unprecedented; eminent; extraordinary; remarkable; uncommon; rare; unusual; peculiar; strange; odd; eccentric; fantastic. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

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  • Singular point of a curve — In geometry, a singular point on a curve is one where the curve is not given by a smooth embedding of a parameter. The precise definition of a singular point depends on the type of curve being studied. Contents 1 Algebraic curves in the plane 1.1 …   Wikipedia

  • Singular point of an algebraic variety — In mathematics, a singular point of an algebraic variety V is a point P that is special (so, singular), in the geometric sense that V is not locally flat there. In the case of an algebraic curve, a plane curve that has a double point, such as the …   Wikipedia

  • Singular point — Point Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… …   The Collaborative International Dictionary of English

  • singular point — I. noun : a point of the curve f(x, y).0 where both partial derivatives are zero II. noun : singularity 1 herein * * * Math. a point at which a given function of a complex variable has no derivative but of which every neighborhood contains points …   Useful english dictionary

  • Singular — Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid that all a …   The Collaborative International Dictionary of English

  • Singular proposition — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular succession — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular term — Singular Sin gu*lar (s[i^][ng] g[ u]*l[ e]r), a. [OE. singuler, F. singulier, fr. L. singularius, singularis, fr. singulus single. See {Single}, a.] 1. Separate or apart from others; single; distinct. [Obs.] Bacon. [1913 Webster] And God forbid… …   The Collaborative International Dictionary of English

  • Singular points — occur in various different situations in geometry *Singular point of an algebraic variety *Singular point of a curve *Mathematical singularityee also*Singularity theory …   Wikipedia

  • Point — Point, n. [F. point, and probably also pointe, L. punctum, puncta, fr. pungere, punctum, to prick. See {Pungent}, and cf. {Puncto}, {Puncture}.] 1. That which pricks or pierces; the sharp end of anything, esp. the sharp end of a piercing… …   The Collaborative International Dictionary of English

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