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

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

These names are given to the curves because the end of a stretched thread unwound from the evolute will describe the involute.

From The New Gresham Encyclopedia Volume 4, Part 3: Estremoz to Felspar 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 Acharya, Madhava

It matters little whether a person can correctly derive the words telegraph, tangent, ellipse, evolute, etc., if the correct idea is present in his mind when he uses them.

From Popular scientific lectures by Mach, Ernst

The thread has a marker, E, so that when the thread is wound on the spool the marker E makes the evolute line A. 163.

From Carpentry for Boys In a Simple Language, Including Chapters on Drawing, Laying Out Work, Designing and Architecture With 250 Original Illustrations by Zerbe, James Slough