evolute

American  

[ev-uh-loot, ee-vuh-] / ˈɛv əˌlut, ˈi və- /

noun

Geometry.

1. the locus of the centers of curvature of, or the envelope of the normals to, another curve.

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evolute British  

/ ˈɛvəˌluːt /

noun

1. a geometric curve that describes the locus of the centres of curvature of another curve (the involute ). The tangents to the evolute are at right angles to the involute

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adjective

1. biology having the margins rolled outwards

Etymology

Origin of evolute

1720–30; < Latin ēvolūtus (past participle of ēvolvere to roll out, unfold, evolve )

Example Sentences

See Examples For:

evolute

Both of these liquids have specific pericosities given by P = 2.5C.n^6-7 where n is the diathetical evolute of retrograde temperature phase disposition and C is Cholmondeley's annular grillage coefficient.

From Time Magazine Archive

"Now, you see," said Pee-wee, "how a good turn can evolute."

From Tom Slade at Temple Camp by Percy Keese Fitzhugh

Draw NM and produce it to cut EP produced in R the center of curvature at P. This point evidently lies upon the branch zM of the evolute in Fig.

From Scientific American Supplement, No. 595, May 28, 1887 by Various

Of these the first is that which is only evolvent, called the root-evolvent or the primary; it is not itself the evolute of anything else.

From The Sarva-Darsana-Samgraha Review of the Different Systems of Hindu Philosophy by Madhava Acharya

The intrinsic equation is s = 4a sin ψ, and the equation to the evolute is s = 4a cos ψ, which proves the evolute to be a similar cycloid placed as in fig.

From Encyclopaedia Britannica, 11th Edition, Volume 7, Slice 8 "Cube" to "Daguerre, Louis" by Various