TRACT 31.

OF GUNNERT.

217

in counting from the less ball to the greater, or P art l esswhen comparing the greater ball to the less.

16 . The same laws of resistance were also found to ob-tain in the slower motions, with the whirling-machine in the36th Tract, both in respect of the different velocities withthe same body, and of the different bodies with the same ve-locity. From which uniformity of effects it happens, thatthe numbers resulting from the larger velocities, in the onecourse of experiments, and those derived from the slow mo-tions in the other course, form as it were the terms, in thedifferent parts of one and the same general series of resist-ances. These circumstances enable us, easily and justly, tointerpolate and fill up the intermediate places, between 300feet, the smallest of the rapid motions, and 20 feet, thegreatest of the slow ones. And hence we obtain the follow-ing complete series, from the smallest to the greatest, for aball of just 2 inches in diameter.