Roulettes (curve) | Differential geometry

Involute

In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. It is a class of curves coming under the roulette family of curves. The evolute of an involute is the original curve. The notions of the involute and evolute of a curve were introduced by Christiaan Huygens in his work titled Horologium oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae (1673). (Wikipedia).

Involute
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Related pages

Roulette (curve) | Vector notation | Semicubical parabola | Archimedean spiral | Curve | Involute | Parametric equation | Parabola | Arc length | Mathematics | Christiaan Huygens | Cycloid | Catenary | Evolute | Tractrix | Envelope (mathematics) | High Flux Isotope Reactor | Parallel curve | Curvature | Locus (mathematics)