The Mathematical Theory of the Top: Lectures Delivered on the Occasion of the Sesquicentennial Celebration of Princeton University (Classic Reprint)

Excerpt from The Mathematical Theory of the Top: Lectures Delivered on the Occasion of the Sesquicentennial Celebration of Princeton University

I shall confine my discussion mainly to the problem presented in the motion of a top meaning for the present by top a rigid body rotating about an axis, when a single point in this axis, not the centre of gravity, is fixed in position.

In the present lecture I shall present some preliminary considerations of a purely geometri cal character. But it is necessary first of all to obtain an analytical representation of the rotation of a rigid body about a fixed point, and I shall begin with a statement of the methods ordinarily used.

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