evolute
evolute
definition
noun
On 22 January 1769 Monge wrote to Bossut explaining that he was writing a work on the evolutes of curves of double curvature.
a curve that is the locus of the centers of curvature of another curve (its involute).
example
Of course the 'evolute' of an involute of a circle is a circle.
He gives propositions determining the centre of curvature which lead immediately to the Cartesian equation of the 'evolute' .
Hence a curve has a unique 'evolute' but infinitely many involutes.
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.
Credits: Google Translate
