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evolute

Line breaks: evo|lute
Pronunciation: /ˈiːvəl(j)uːt
 
, ˈɛv-/

Definition of evolute in English:

noun

(also evolute curve) Mathematics
A curve which is the locus of the centres of curvature of another curve (its involute).
Example sentences
  • On 22 January 1769 Monge wrote to Bossut explaining that he was writing a work on the evolutes of curves of double curvature.
  • He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.
  • Hence a curve has a unique evolute but infinitely many involutes.

adjective

Zoology & Botany Back to top  
Rolled outwards at the edges: an evolute shell
More example sentences
  • The general shell characters are the evolute coiling and the median keel that is always higher than the lateral ones.
  • The second lineage contained A. nitida, which became more involute and axially compressed on the umbilical side, and its first descendant, A. mckannai, which developed evolute coiling and a moderately wide umbilicus.
  • It essentially separates early (higher scores) and later (lower scores) representatives of the species, which tended to develop evolute coiling through geologic time.

Origin

mid 18th century: from Latin evolutus, past participle of evolvere 'roll out' (see evolve).

Definition of evolute in:

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