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

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        <body>
          <chap>
            <pb xlink:href="051/01/155.jpg" pagenum="124"/>
            <p type="margin">
              <s>
                <margin.target id="marg225"/>
                <emph type="italics"/>
              Leges aquæ
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              effluentis
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              per
                <expan abbr="foramẽ">foramen</expan>
                <lb/>
              tubi ſemper
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              pleni.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium II.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur ſecundò, Aquam apud B, in utroque tubo, hoc eſt,
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              ſemper & non ſemper pleno, tantâ ſolùm vi premi prope
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              foramen B, quanta eſt vis ſeu pondus aquæ à B uſque ad ſu­
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              premam aquæ ſuperficiem, id eſt, columnæ aqueæ habentis
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              pro baſi latitudinem foraminis B, pro altitudine perpendicu­
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              larem à B ad dictam ſuperficiem. </s>
              <s>Ratio eſt, quia ſolùm illa
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              columna premit ſupra B, per dicta Propoſit. 1. </s>
              <s>Intellige, niſi
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              illa aliunde impetum recipiat, ut ſi ipſi affunderetur aqua ex
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              tubo inclinato, ſive conjuncto, ſive diſiuncto. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
              Corollarium. III.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s>COlligitur tertiò, Leges prædictas deſcenſus gravium ſervari
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                <arrow.to.target n="marg226"/>
                <lb/>
              ab aqua in tubo ſemper pleno, deſcendendo ab A ad B, ſo­
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              lùm in primo deſcenſu, non verò in deſcenſu continuato; item
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              ſolùm à prima parte aquæ deſcendentis,
                <expan abbr="nõ">non</expan>
              à partibusipſi conti­
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              guis & ſubſequentibus. </s>
              <s>Explico Deſcendat aqua ab A ad B, effi­
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              ciatque deſcenſus columnam aqueam AB, quæ dividatur in vi­
                <lb/>
              ginti
                <expan abbr="quinq;">quinque</expan>
              æquales partes ſecundùm longitudinem ſeu altitu­
                <lb/>
              dinem ab A ad B. </s>
              <s>Dico, ſolùmvigeſimam quintam partem, quæ
                <lb/>
              eſt apud B, ſervare prædictam legem deſcenſus gravium cre­
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              ſcentis in velocitate ſecundùm numeros impares ab unitate
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              numeratos; & quidem illam ſolam vigeſimam quintam par­
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              tem, quæ eſt in prima columna aquea à deſcenſu aquæ for­
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              mata, non verò quæ eſt in reliquis columnis ſubſequentibus. </s>
              <s>
                <lb/>
              Ratio eſt, quia cùm nulla pars ex viginti quinque egrediatur
                <lb/>
              è foramine B, quin ingrediatur alia per orificium A priori
                <lb/>
              æqualis; & nulla tranſeat vigeſimum quintum & ultimum ſpa­
                <lb/>
              tiolum lateris AB, quin eodem tempore tranſeat alia æqualis
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              primum ſpatiolum, & alia ſecundum, & alia tertium, ac reli­
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              qua omma; neceſsè eſt ut omnes reliquæ partes eâdem velo­
                <lb/>
              citate conficiant ſingula ſpatiola, qua velocitate ultima con­
                <lb/>
              ficit ultimum; & eâdem velocitate unaquæque pertranſeat
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              ſpatiolum ſibi correſpondens, qua velocitate ultima pars per­
                <lb/>
              tranſit ultimum ſpatiolum. </s>
              <s>Patet ergo propoſitum. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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