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67.

The Third Part
of ye measure of
Running and Spouting waters

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Discours I

Of ye inches and lines of water where with ye measure of running and spouting waters is expressed:

The makes of fountains measure ye quantity of water wch ye fountains give by ye inches and circular lines, wch ye holes that they [[?fill]]]up in running through gently do superficially contain but they have not well determined what quantity of water those inches and circular lines give in a certain time, nor how heigh ye water ought to be above ye holes to furnish that running; which is not withstanding necessary to know what makes an inch of water for if ye water is kept at 6 lines above a circular hole of an inch, it would give much more water at that inch, than surpassed it but one line, because as hath been shewn above in ye second part, a greater height of water makes ye spouts go swifter and ye running of ye waters that y same hole is make according to ye proposition of ye swiftness with wch it goeth out; wch is proved in this [[?sort]].

  A B is a vessel full of water, C E D B is one of ye sides of ye vessel where there is a hole I, G H is a cylinder of wood or of ice wch passeth thrô that hole

Now if we suppose that in one second it is advanced ye space of G H, it is manifest that in that time it will pass entirely and precisely  ye hgole I, if it

[[image:  three dimensional drawing of a cube with a tube G (in the cube) and H inserted into and the cube at I and protruding from the right face open at H.  The top face of the cube is labeled A (far left corner), C (far right corner), and E (near right corner).  The right face of the cube is labeled E (top near corner), C (top far corner), D (bottom near corner), B (bottom far corner).

begins to enter thereby ye end H and that if it goeth twise as slow it must employ 2 seconds to pass it entirely; and by consequent but half of it will pass in a secon, and ye samein respect of otgher proportions:

  We may draw ye same consequence in regard of spouts of water, viz that there will pass stice as much water in ye same time thrô ye hole I, when it goeth twice as swift, and in one minute it gives 10 points in passing thrô that hole with a certain swiftness, it will give 30 in ye same time it is goeth3 time as swift:

  This being supposed it is evident that if there is two equal round holes in a reservatory one a foot below y surface of ye water and ye other 4 foot,

Transcription Notes:
mandc: Image from the Desaguliers translation: http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=%2Fpermanent%2Flibrary%2FQERNH1MN%2Fpageimg&start=11&mode=imagepath&pn=211&ww=0.1783&wh=0.1914&wx=0.7169&wy=0.3828