In calculating the dimensions of the parts of the instrument, it is necessary to provide for the exhibition of the instrument with its axle either the greatest or the least axis of inertia. The dimensions and weights of the parts of the top which I have found most suitable, are given in a note at the end of this paper.
Now let us make the axes of inertia in the plane of the ring unequal. We may do this by screwing the balance screws
and
farther from the axle without altering the centre of gravity.
Let us suppose the bob
screwed up so as to make the axle the axis of least inertia. Then the mean axis is parallel to