Roulette (curve) application of this is that a square wheel could roll without bouncing on a road that is a matched series of catenary arcs. Roulette (curve) In the differential geometry of curves, a roulette is a kind of curve, generalizing cycloids, epicycloids, hypocycloids, trochoids, and involutes. Roughly speaking, a roulette is the curve described by a point (called the "generator" or "pole") attached to a given curve as that curve rolls without slipping, along a second given curve that is fixed. More precisely, given a curve attached to a plane which is moving so that the curve rolls, without slipping, along
What a Beautiful Name on 6 January 2017, as the lead single from their 25th live album, "Let There Be Light" (2016). "What a Beautiful Name" was composed in December 2015 in Sydney, Australia, for the upcoming Hillsong Conference, the annual church gathering. The scriptural foundation of the song can be found in , and . According to sheet music published at Sheetmusicdirect.com by Hillsong Publishing, "What a Beautiful Name" is a slow tempo of 68 beats per minute. Written in common time, the song is in the key of D major. Brooke Ligertwood's vocal range spans from A to B during the song.