evolute of curve

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• Evolute — Ev o*lute, n. [L. evolutus unrolled, p. p. of evolvere. See {Evolve}.] (Geom.) A curve from which another curve, called the involute or evolvent, is described by the end of a thread gradually wound upon the former, or unwound from it. See… …   The Collaborative International Dictionary of English

• evolute — [ev′ə lo͞ot΄] n. [< L evolutus: see EVOLUTION] Geom. a curve that is the locus of the center of curvature of another curve (called the involute); the envelope of the perpendiculars, or normals, of the involute: see INVOLUTE …   English World dictionary

• Evolūte — (Math.), E. einer Curve od. krummen Linie heißt in der Geometrie eine solche krumme Linie, in der sich alle Krümmungshalbmesser derjenigen krummen Linie endigen, deren E. sie genannt wird …   Pierer's Universal-Lexikon

• Evolute — In the differential geometry of curves, the evolute of a curve is the locus of all its centers of curvature. Equivalently, it is the envelope of the normals to a curve. The original curve is an involute of its evolute. (Compare and… …   Wikipedia

• evolute — n. (in full evolute curve) Math. a curve which is the locus of the centres of curvature of another curve that is its involute. Etymology: L evolutus past part. (as EVOLVE) …   Useful english dictionary

• evolute — noun A curve comprising the centers of curvature of another curve …   Wiktionary

• evolute — [ i:vəl(j)u:t, ɛv ] noun Mathematics a curve which is the locus of the centres of curvature of another curve (its involute). adjective Zoology & Botany rolled outwards at the edges. Origin C18: from L. evolutus, past participle of evolvere (see… …   English new terms dictionary

• evolute — noun Date: circa 1736 the locus of the center of curvature or the envelope of the normals of a curve …   New Collegiate Dictionary

• evolute — /ev euh looht / or, esp. Brit., /ee veuh /, n. Geom. the locus of the centers of curvature of, or the envelope of the normals to, another curve. Cf. involute (def. 5). [1720 30; < L evolutus (ptp. of evolvere to roll out, unfold, EVOLVE)] * * * …   Universalium

• evolute — ev•o•lute [[t]ˈɛv əˌlut[/t]] esp. brit. [[t]ˈi və [/t]] n. math. geom the locus of the centers of curvature of, or the envelope of the normals to, another curve Compare involute 5) • Etymology: 1720–30; < L ēvolūtus; see evolve …   From formal English to slang

• evolute — /ˈivəlut/ (say eevuhlooht), /ˈɛvə / (say evuh ) noun Geometry the locus of the centres of curvature of, or the envelope of the normals to, another curve (called the involute). {Latin ēvolūtus, past participle, rolled out} …