*involute*); the envelope of the perpendiculars, or normals, of the involute

Origin of evolute

from Classical Latin*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

Origin of evolute

from Classical LatinWebster's New World College Dictionary, Fifth Edition Copyright © 2014 by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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"evolute." YourDictionary, n.d. Web. 12 October 2018. <http://www.yourdictionary.com/evolute>.

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evolute. (n.d.). Retrieved October 12th, 2018, from http://www.yourdictionary.com/evolute

noun

The locus of the centers of curvature of a given curve.

Origin of evolute

THE AMERICAN HERITAGE® DICTIONARY OF THE ENGLISH LANGUAGE, FIFTH EDITION by the Editors of the American Heritage Dictionaries. Copyright © 2016, 2011 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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**MLA Style**

"evolute." YourDictionary, n.d. Web. 12 October 2018. <http://www.yourdictionary.com/evolute>.

**APA Style**

evolute. (n.d.). Retrieved October 12th, 2018, from http://www.yourdictionary.com/evolute

English Wiktionary. Available under CC-BY-SA license.

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**MLA Style**

"evolute." YourDictionary, n.d. Web. 12 October 2018. <http://www.yourdictionary.com/evolute>.

**APA Style**

evolute. (n.d.). Retrieved October 12th, 2018, from http://www.yourdictionary.com/evolute

- The determination of the true relation between the length of a pendulum and the time of its oscillation; the invention of the theory of
**evolutes**; the discovery, hence ensuing, that the cycloid is its own**evolute**, and is strictly isochronous; the ingenious although practically inoperative idea of correcting the "circular error" of the pendulum by applying cycloidal cheeks to clocks - were all contained in this remarkable treatise. - (12) Along the stream line xABPJ, 4) =o; and along the jet surface PJ, -1 >49> - oo; and putting 4 = -irs/c - I, the intrinsic quation is irs/c =cot 2 nO, (13) hich for n =I is the
**evolute**of a catenary. - Apollonius' genius takes its highest flight in Book v., where he treats of normals as minimum and maximum straight lines drawn from given points to the curve (independently of tangent properties), discusses how many normals can be drawn from particular points, finds their feet by construction, and gives propositions determining the centre of curvature at any point and leading at once to the Cartesian equation of the
**evolute**of any conic. - His enquiries into
**evolutes**enabled him to prove that the**evolute**of a cycloid was an equal cycloid, and by utilizing this property he constructed the isochronal pendulum generally known as the cycloidal pendulum. - The intrinsic P equation is s =4a sin 4,, and the equation to the
**evolute**is s= 4a cos 1P, which proves the**evolute**to be a similar cycloid placed as in fig.

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