Kinematical in A Sentence

    1

    For applications of the hodograph to the solution of kinematical problems see Mechanics.

    2

    Obviously the number of such geometrical or kinematical definitions is infinite.

    3

    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.

    4

    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.

    5

    The preceding theorems are purely kinematical.

    6

    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.

    7

    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.

    8

    We have also the kinematical relation x=a.