Roulette (curve) in this case, the point lies on the circle then the roulette is a cycloid. A related concept is a glissette, the curve described by a point attached to a given curve as it slides along two (or more) given curves. Formally speaking, the curves must be differentiable curves in the Euclidean plane. The "fixed curve" is kept invariant; the "rolling curve" is subjected to a continuous congruence transformation such that at all times the curves are tangent at a point of contact that moves with the same speed when taken along either curve (another way to express this constraint
Butterfly on a Wheel Butterfly on a Wheel Butterfly on a Wheel (US: Shattered, Europe: Desperate Hours) is a 2007 British–Canadian mystery thriller film directed by Mike Barker, co-produced and written by William Morrissey, and starring Pierce Brosnan, Gerard Butler, and Maria Bello. The film's title is an allusion to a line of Alexander Pope's poem "Epistle to Dr Arbuthnot": "Who breaks a butterfly upon a wheel?" The line is usually interpreted as questioning why someone would put great effort into achieving something minor or unimportant, or who would punish a minor offender with a disproportional punishment. Chicago residents Neil Randall (Gerard Butler) and