For applications of the hodograph to the solution of kinematical problems see Mechanics.
There is also the extremely ingenious invention of the hodograph.
The annexed fig. 70 exhibits the various cases, with the hodograph in its proper orientation.
So that we have in the circling electro-magnetic Aether currents a physical explanation for the hodograph of any planet.
The pole O of the hodograph is inside on or outside the circle, according as the orbit is an ellipse, parabola or hyperbola.
In the motion of a projectile under gravity the hodograph is a vertical line described with constant velocity.
Thus for a circular orbit with the centre of force at an excentric point, the hodograph is a conic with the pole as focus.