A pendulum vibrating over the plane, or table (_a b_), on the top of the globe, has been already shown (by Fig. 1) to go round the entire circle in twenty-four hours; or to have an angular velocity of 90, or quarter of a circle, in six hours. The plane (_a b_), at 60, has an inclination to the axis (S N), which will cause a pendulum vibrating over it to move through its circumference at a diminished rate. This will be shown by reference to the figure. The globe is revolving in the direction from left to right; the pendulum is vibrating over the line _a b_, which, at all times during its course, is parallel with the first path of vibration. The plane may now be supposed to have moved during six hours, or to have gone through a quarter of an entire revolution, equal to 90; but the pendulum has only moved from _c_ to _a_, considerably less than 90. Again, if the plane is carried another six hours, making together 180, the Figure shows the pendulum to have moved only from _c_ to _a_, considerably less than 180. The same remarks apply to the lower latitude of 30, where, it will be seen, the circular, or angular motion of the pendulum, is considerably slower than in the latitude of 60, continuing to diminish, until it becomes nothing at the equator, where it is clearly shown by the Figure to be always parallel to itself, and constant over its path of vibration through the entire circle. ADVENTURE WITH A GRIZZLY BEAR.[12] I now took a long farewell of the horses, and turned northward, selecting a line close in by the base of the hills, going along at an improved pace, with a view of reaching the trading-post the same night; but stopping in a gully to look for water, I found a little pool, evidently scratched out by a bear, as there were foot-prints and claw-marks about it; and I was aware instinct prompts that brute where water is nearest the surface, when he scratches until he comes to it. This was one of very large size, the foot-mark behind the toes being full nine inches; and although I had my misgivings about the prudence of a _tête-à-tête_ with a great grizzly bear, still the "better part of valor" was overcome, as it often is, by the anticipated honor and glory of a single combat, and conquest of such a ferocious beast. I was well armed, too, with my favorite rifle, a Colt's revolver, that never disappointed me, and a non-descript weapon, a sort of cross betwixt a claymore and a bowie-knife; so, after capping afresh, hanging the bridle on the horn of the saddle, and, staking my mule, I followed the trail up a gully, and much sooner than I expected came within view and good shooting distance of Bruin, who was seated erect, with his side toward me, in front of a manzanita bush, making a repast on his favorite berry.