...which appears to be one of the harmonic axes, the time of vibration would be infinite, so we reject it. The three harmonic screws which are usually found...two, and we have the following theorem : — A rigid fyody which is free to rotate about a fixed point is at rest under the action of gravity. If a plane...

...ellipses in which the plane conjugate to the vertical axis in the momenta! ellipsoid cuts the momental ellipsoid and the cylinder. These three lines are...free to rotate about a fixed point is at rest under tJie action of gravity. If a plane 8 be drawn through the point of suspension 0, conjugate to the vertical...

...that there exist two closed continuous motions (ie motions which lead back to the initial state) of a rigid body, which is free to rotate about a fixed point 0, such that any other closed motion can be continuously deformed into one of the two. One of these...