Lexic.us

Definition of Evolute

1. n. 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 Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent.

Definition of Evolute

1. Noun. A curve comprising the centers of curvature of another curve. ¹

¹ Source: wiktionary.com

Definition of Evolute

1. a type of geometric curve [n -S]

Medical Definition of Evolute

1. 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 Involute. It is the locus of the centers of all the circles which are osculatory to the given curve or evolvent. Any curve may be an evolute, the term being applied to it only in its relation to the involute. Origin: L. Evolutus unrolled, p. P. Of evolvere. See Evolve. Source: Websters Dictionary (01 Mar 1998)

Lexicographical Neighbors of Evolute

Literary usage of Evolute

Below you will find example usage of this term as found in modern and/or classical literature:

1. Elements of the Differential and Integral Calculus: With Examples and by James Morford Taylor, William Christ (1889)
"These two properties of the evolute enable us to regard any involute as traced by a point in a string unwound from its evolute. ..."

2. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"+ CM Cn. This result still holds when the number « is increased indefinitely, and we infer that the length of any arc of the evolute is equal, in general, ..."

3. Elements of the Differential and Integral Calculus by William Anthony Granville (1904)
"The evolute of a given curve considered as the envelope of its normals. Since the normals to a curve are all tangent to the evolute, § 129, p. ..."

4. A Treatise on Conic Sections: Containing an Account of Some of the Most by George Salmon (1900)
"If we form the condition that the equation in r2 should have equal roots, we get the squares of the axes multiplied by the cube of the evolute. ..."

5. Differential and Integral Calculus by Clyde Elton Love (1916)
"The evolute. When a point P moves along a curve, the center of curvature Q (§ 54) describes a second curve, called the evolute of the original curve. ..."

6. Differential and Integral Calculus by Clyde Elton Love (1916)
"The evolute. When a point P moves along a curve, the center of curvature Q (§ 54) describes a second curve, called the evolute of the original curve. ..."

7. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1899)
"It is evident that the curve may be generated from its evolute by the motion of the extremity of a stretched thread, supposed to be wound round the evolute ..."

8. A Treatise on the Differential Calculus: With Numerous Examples by Isaac Todhunter (1875)
"From this property the names evolute and involute are obtained. ... It will be observed that a curve has only one evolute ; but a curve has an infinite ..."

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