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A curve which is the locus of the centres of curvature of another curve (its involute).
- ‘He gives propositions determining the centre of curvature which lead immediately to the Cartesian equation of the evolute.’
- ‘Of course the evolute of an involute of a circle is a circle.’
- ‘He defines evolutes and involutes of curves and, after giving some elementary properties, finds the evolutes of the cycloid and of the parabola.’
- ‘On 22 January 1769 Monge wrote to Bossut explaining that he was writing a work on the evolutes of curves of double curvature.’
- ‘Hence a curve has a unique evolute but infinitely many involutes.’
Rolled outwards at the edges:‘an evolute shell’
- ‘The general shell characters are the evolute coiling and the median keel that is always higher than the lateral ones.’
- ‘It essentially separates early (higher scores) and later (lower scores) representatives of the species, which tended to develop evolute coiling through geologic time.’
- ‘Most clymeniids and contemporary goniatitids (with both evolute and involute shells) declined before the last anoxic episode, known as the Hangenberg event, which was followed by a major regression.’
- ‘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.’
- ‘These younger descendants differ from Goniatites in their evolute inner whorls, their wider external lobe, and their higher median saddle.’
Mid 18th century: from Latin evolutus, past participle of evolvere roll out (see evolve).
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