A treatise on gyrostatics and rotational motion . i ? through 0 (if it does pass that plane), and the value of p is theirstationary as : varies. The path of the bob at a limiting circle, where :=0,La a tangent to thai circle on the sphere, and changes at the point (A, orBj, Figs. 80 and 81 I of touching, from a downward or upward course to anupward or downward, according as the limiting circle is the lower or are two cases, fi/rst, that in which the upper circle is above the. 300 GYROSTATICS chap. centre of the sphere, second, that in which both circles are below the pro
A treatise on gyrostatics and rotational motion . i ? through 0 (if it does pass that plane), and the value of p is theirstationary as : varies. The path of the bob at a limiting circle, where :=0,La a tangent to thai circle on the sphere, and changes at the point (A, orBj, Figs. 80 and 81 I of touching, from a downward or upward course to anupward or downward, according as the limiting circle is the lower or are two cases, fi/rst, that in which the upper circle is above the. 300 GYROSTATICS chap. centre of the sphere, second, that in which both circles are below the projection of the path on a horizontal plane is shown in Fig. 80. Ittouches three circles in the firsi case, the projections respectively of the upper limiting circle at AP the hori-zontal great circle of the sphere at E,and the lower limiting circle at Br Itis easy to see that in this case theprojection of the path touches theprojections of the limiting circlesexternally, for clearly the path musttrend outward from touching either ofthese to touch the great circle, andthence trend inward again to touchthe projection of the lower circle. The case in which both limiting circles are below the centre is shown in Fig. 81. The projection of the lower limiting circle is shown touched externally by the path, the other is touched internally. It is clear that the path must trend outward from touching the lower circle to touch the upper, and has not begun to turn inward when the latter circle
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