
The alysoid ^{1}^{) }is
a generalization of the catenary (a=1). For a=2 the curve can be used to find an optimal acceleration profile.
It was Césaro who started to study the curves, in 1886.
The intrinsic Whewell equation of the alysoid has a rather simple form: s = tan aφ, s being the arc
length.
1) Alusion (Gr.) = little chain. 