Unicursal
Unicursal U`ni*cur"sal, a. [Uni- + L. currere, cursum, to run.] (Geom.) That can be passed over in a single course; -- said of a curve when the co["o]rdinates of the point on the curve can be expressed as rational algebraic functions of a single parameter [theta]. [1913 Webster]

Note: As [theta] varies minus infinity to plus infinity, to each value of [theta] there corresponds one, and only one, point of the curve, while to each point on the curve there corresponds one, and only one, value of [theta]. Straight lines, conic sections, curves of the third order with a nodal point, curves of the fourth order with three double points, etc., are unicursal. [1913 Webster]


The Collaborative International Dictionary of English. 2000.

Look at other dictionaries:

  • unicursal — ● unicursal, unicursale, unicursaux adjectif (du latin cursus, direction) Se dit d une courbe dont les équations paramétriques sont définies à l aide de fractions rationnelles …   Encyclopédie Universelle

  • unicursal — 1. adjective Being composed entirely of a single continuous path or line 2. noun An object or figure composed entirely of a single continuous path or line (e.g. a ) See Also: unicursally …   Wiktionary

  • unicursal — [ˌju:nɪ kə:s(ə)l] adjective Mathematics denoting a closed curve which can be drawn in a single movement. Origin C19: from uni + L. cursus course + al …   English new terms dictionary

  • unicursal — uni·cur·sal …   English syllables

  • unicursal — |yünə|kərsəl adjective Etymology: uni + Latin cursus course + English al more at course of an irreducible curve : having coordinates expressible rationally through a single parameter opposed to bicursal …   Useful english dictionary

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  • unicursaux — ● unicursal, unicursale, unicursaux adjectif (du latin cursus, direction) Se dit d une courbe dont les équations paramétriques sont définies à l aide de fractions rationnelles …   Encyclopédie Universelle

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