Salusbury, Thomas, Mathematical collections and translations (Tome I), 1667

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              <s>
                <pb xlink:href="040/01/593.jpg" pagenum="24"/>
              ſelves, as have the mouths, which are the numbers 32 and 8
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              in our example: Then this
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                <figure id="id.040.01.593.1.jpg" xlink:href="040/01/593/1.jpg" number="36"/>
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              being done, let the velocity
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              of the Water by the paſſa­
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              ges A and B, be examined
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              (which may be done keeping
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              account what ſpace a piece
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              of Wood, or other body that
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              ſwimmeth, is carried by the ſtream in one determinate time; as
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              for inſtance in 50 pulſes) and then work by the golden Rule, as
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              the velocity by A, is to the velocity by B, ſo is the number 8, to
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              another number, which is 4. It is clear by what is demonſtra­
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              ted in the ſaid ſecond Propoſition, that the quantity of water,
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              which paſſeth by the mouth A, ſhall have the ſame proportion of
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              that which paſſeth by the mouth B, that 8 hath to 1. Such pro­
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              portion being compoſed of the proportions of 32 to 8, and of 8 to
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              4; namely, tothe greatneſs of the mouth A, to the greatneſs of the
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              mouth B, and of the velocity in A, to the velocity in B. </s>
              <s>This being
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              done, we muſt then contract the mouth which diſchargeth more
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              then its juſt quantity of water, or enlarge the other which diſchar­
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              geth leſs, as ſhal be moſt commodious in practice, which to him that
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              hath underſtood this little that hath been delivered, will be very
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              afie.</s>
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              <s>APPENDIX XII.</s>
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              <s>Theſe opperations about Water, as I have hitherto on ſun­
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              dry occaſions obſerved, are involved in ſo many difficul­
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              ties, and ſuch a multiplicity of moſt extravagant accidents,
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              that it is no marvel if continually many, and very important er­
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              rours be therein committed by many, and even by Ingeneers
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              themſelves, and Learned-men; and becauſe many times they
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              concern not onely the publique, but private intereſts: Hence it
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              is, that it not onely belongeth to Artiſts to treat thereof, but very
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              oft even the vulgar themſelves pretend to give their judgement
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              therein: And I have been troubled many times with a neceſſity
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              of treating, not onely with thoſe, which either by practice, or
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              particular ſtudy, underſtood ſomewhat in theſe matters; but alſo
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              with people wholly void of thoſe notions, which are neceſſary for
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              one that would on good grounds diſcourſe about this particular;
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              and thus many times have met with more difficulty in the thick
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              skulls of men, than in precipitous Torrents, and vaſt Fennes.
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              </s>
              <s>And in particular, I had occafion ſome years paſt to go ſee the
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              Gave or Emiſſary of the Lake of
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              Perugia,
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              made many years agon
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              by
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              Braccio Fortobraccio,
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              but for that it was with great ruines by
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              Time decayed, and rendred unuſeful, it was repaired with in­</s>
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