Schott, Gaspar, Mechanica hydraulico-pneumatica. Pars I. Mechanicae Hydraulico-pnevmaticae Theoriam continet. , 1657

Table of figures

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              <s>His explicatis, eſto tubus AB unius pedis, & </s>
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              tubus CD quatuor pedum, æqualium foraminum,
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              & uterque ſeu ſemper, ſeu non ſemper plenus; qui
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              quidem eodem, vel æquali tempore inæqualem
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              effundunt aquæ copiam, nempe major majorem,
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              & minor minorem, ut conſtat ex Propoſitione III.
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              præcedenti. </s>
              <s>Dico, aquam tubi CD, ad aquam
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              tubi AB eodem aut æquali tempore effuſam, ha­
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              bere rationem ſubduplicatam tuborum, hoc eſt,
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              aquam effluentem è tubo CD eſſe duplam aquæ
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              effluentis è tubo BA. </s>
              <s>Etidem dicendum eſt de qua­
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              cunque alia ratione ſeu proportione; ut ſi unus tu­
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              bus ſit 9 pedum, alter unius pedis, erit aqua ma­
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              joris ad aquam minoris, ut 3 ad 1. </s>
              <s>Conſtat ex
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              obſervatione, ut aſſerit Merſennus in ſuis Hydraulicis, Propo­
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              ſit. 2 poſt medium. </s>
              <s>Ratio phænomeni dependet ex velocita­
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              te aquæ deſcendentis & effluentis ex tubo CD, ſupra veloci­
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              tatem æquæ deſcendentis & effluentis ex tubo AB; de qua
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              vide Propoſit. IX. & X.
                <expan abbr="ſeq.">ſeque</expan>
              ubi dicemus, illam ad hanc eſſe du­
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              plam, hoc eſt, ſubduplicatam altitudinum tuborum haben­
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              tium æqualia foramina; quo demonſtrato, demonſtrabimus
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              deinde Propoſitione XI. hanc præſentem Propoſitionem. </s>
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            <p type="margin">
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              Aquæ dupli­
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              catam ra­
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              tionem ha­
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              bent tubo­
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              rum æqua­
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              lium lumi­
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              num, at in­
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              æqualium
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                <expan abbr="altitudinũ">altitudinum</expan>
              .
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            <p type="main">
              <s>
                <emph type="center"/>
              Poriſma I.
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              </s>
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              <s>COlligitur ex his, tuborum æqualium foraminum altitudi­
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              nes debere eſſe in duplicata ratione aquarum inæqualium
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              quas debent eodem tempore fundere. </s>
              <s>Verbi gratia, tubus pe­
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              dalis determinato tempore dat unam aquæ libram ex ſuo fo­
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              ramine; ut alius tubus ex æquali foramine æquali tempore det
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              duas libras, debet habere duplicatam rationem ad illum, nem­
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              pe debet eſſe altus quatuor pedibus. </s>
              <s>Sic etiam quia tubus qua­
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              tuor pedum per lineare lumen ſpatio 13 minutorum ſecundo­
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              rum fundit unam libram aquæ, ut diximus Propoſit. VII. ut
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              alius tubus eodem tempore per lumen lineare fundat centum </s>
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