Kater's solution However, in Horologium Oscillatorium, Huygens had also proved that the pivot point and the center of oscillation were interchangeable. That is, if any pendulum is suspended upside down from its center of oscillation, it has the same period of swing, and the new center of oscillation is the old pivot point. The distance between these two conjugate points was equal to the length of a simple pendulum with the same period.
K.ater's solution However, in Horologium Oscillatorium, Huygens had also proved that the pivot point and the center of oscillation were interchangeable That is, if any pendulum is suspended upside down from its center of oscillation, it has the same period of swing and the new center of oscillation is the old pivot point. The distance between these two conjugate points wa,s equal to the length of a simple pendulum with the same period.