1. cycloid - Noun
2. cycloid - Adjective
3. cycloid - Adjective Satellite
A curve generated by a point in the plane of a circle when the circle is rolled along a straight line, keeping always in the same plane.
Of or pertaining to the Cycloidei.
One of the Cycloidei.
Source: Webster's dictionaryAlso his contribution to mathematics should be noted; in 1658, he found the length of an arc of the cycloid using an exhaustion proof based on dissections to reduce the problem to summing segments of chords of a circle which are in geometric progression. Source: Internet
Beginning with the work of Moritz Cantor and Siegmund Günther, scholars now assign priority to French mathematician Charles de Bovelles based on his description of the cycloid in his Introductio in geometriam, published in 1503. Source: Internet
Because V2 is tangent to the arc of cycloid in P2, it follows that also P1P2 is tangent. Source: Internet
Between 1658 and 1659 he wrote on the cycloid and its use in calculating the volume of solids. Source: Internet
He then showed, in 1696, that the cycloid is the solution to the brachistochrone problem. Source: Internet
If a simple pendulum is suspended from the cusp of an inverted cycloid, such that the "string" is constrained between the adjacent arcs of the cycloid, and the pendulum's length is equal to that of half the arc length of the cycloid (i. Source: Internet