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LEt it be observed in the Transparent Pipe of a Forcing Pump, at how ma∣ny stroaks the Water is for∣ced from the Bottom to the Top; and let as many marks be made at the seve∣ral places unto which the
Water mounted at every stroak (which stroaks we suppose to be all in Equal Times;) it will appear, that all the said Divisions will be according to the Pro∣portions or the Logarithms above-mentioned. As for the Descents and Accelera∣tions of falling Bodies, the Times are the Roots of these Spaces, which they fall in the said times respe∣ctively. The great effect whereof we see in Overshot-Mills, where a little water
falling upon a Wheel of a large Diameter, produceth wonderful Effects; the which may be well compu∣ted upon the Principles we hold forth.
Waters also have greater forces in the above-menti∣oned proportions, as the hole or place whereat they issue is lower from their Surface; as may be seen in all Breast▪ and Undershot-Mills; where it is pleasant to divide the Sinking of the water into Equal Spa∣ces,
and to count the Clacks, Revolutions or Stroaks made within the Time of the waters sinking every such equal Space; for therein the above-men∣tioned Logarithmes may also be observed.
Unto this head may be referred the Leakage of Ships. For let there be a hole in a Ship somewhere under water; then let it be seen, what water comes in at the said hole, within any space of Time; then let
the like hole be made at double the perpendicular distance from the top of the water, and there shall come in four times as much as at the upper hole; and let a third be at three distances, and that shall admit 9 times as much, &c. Again, let there be two E∣qual holes or Leaks in a Ship, the one at Head, and the other at Stern, and let the Ship be in motion; then the Leakage at the Head is composed of the pressure of
the water from the Surface, and of the Ships Motion together. Moreover, if the Ship make double way, the Leakage will be quadruple; if treble way, non cuple, &c. Wherefore to stop Leaks a∣fore, the Ship must stop its motion, lye by, or bear up to go with the Wind and Sea, &c.
Lastly, I shall add, that the Swiftnesses of Waters or River-streams, are the Roots of the Power that causes them; which
causes are Steepness or De∣scent in a sharper Angle from the Perpendicular. Wherefore knowing by ob∣servations, what degree of Steepness causeth any de∣gree of Swiftness; hereby, and by our Doctrin, the Height of ground where a∣ny River riseth above its fall into the Sea, may be computed.