# Kinematical sentence example

For applications of the hodograph to the solution of

**kinematical**problems see Mechanics.The circulation being always zero round a small plane curve passing through the axis of spin in vortical motion, it follows conversely that a vortex filament is composed always of the same fluid particles; and since the circulation round a cross-section of a vortex filament is constant, not changing with the time, it follows from the previous

**kinematical**theorem that aw is constant for all time, and the same for every cross-section of the vortex filament.The determination of the O's and x's is a

**kinematical**problem, solved as yet only for a few cases, such as those discussed above.The step he took is really nothing more than the

**kinematical**principle of the composition of linear velocities, but expressed in terms of the algebraic imaginary.This is sometimes discussed as a separate theory but for our present purposes it is more convenient to introduc

**kinematical**motions as they are required.AdvertisementThe preceding theorems are purely

**kinematical**.We have also the

**kinematical**relation x=a.Obviously the number of such geometrical or

**kinematical**definitions is infinite.