Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

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    <archimedes>
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        <body>
          <chap>
            <p type="main">
              <s id="s.000118">
                <pb pagenum="23" xlink:href="010/01/031.jpg"/>
                <arrow.to.target n="marg23"/>
                <lb/>
              libra imaginaria HI, quia hæc duo corpora motibus
                <lb/>
              contrarijs agitantur ſuſpendunturque ab eadem li­
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              bra horizontali: nec actionem eorumdem corporum
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              impediunt, vel adiuuant ſupremæ, vel infimæ aquæ
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              partes; quando quidem aqua AB,
                <lb/>
                <figure id="id.010.01.031.1.jpg" xlink:href="010/01/031/1.jpg"/>
                <lb/>
              æquilibratur collaterali AG cùm̨
                <lb/>
              ſint homogeneæ & æquè altæ, non
                <lb/>
              ſecùs infimæ aquæ partes CD & F
                <lb/>
              E inter ſe æquilibrantur; quare ac­
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              tioni compreſſiuæ mercurij CB,
                <expan abbr="tã-tummodo">tan­
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                tummodo</expan>
              contraponitur pondus
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              aquæ FG in eodem ſitu horizontali
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              conſtitutæ. </s>
              <s id="s.000119">fiat iam vt pondus mer­
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              curij CB ad grauitatem aquæ FG
                <lb/>
              ita reciprocè diſtantia IM ad MH,
                <lb/>
              quare punctum M erit centrum gra­
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              uitatis duorum corporum BC, & GF, cùmque librą
                <lb/>
              imaginaria HI fulciatur in puncto L rectæ LK per­
                <lb/>
              pendiculariter horizonti eductæ ex infimo ſitu fiſtu­
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              læ, vbi bifariam libra, & magnitudines fluidæ
                <expan abbr="ſecã-tur">ſecan­
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                tur</expan>
              , igitur conſtituitur fune-pendulum LM, & proin­
                <lb/>
              dè, iuxtà leges mechanices, libra flectetur
                <expan abbr="deſcendẽ-do">deſcenden­
                  <lb/>
                do</expan>
              corpus BC, & aſcendendo aquam FG, & hoc per­
                <lb/>
              ficitur propterea quòd centrum communis grauita­
                <lb/>
              tis M neceſſariò labitur deorſum iuxta penduli na­
                <lb/>
              turam. </s>
              <s id="s.000120">ſed prædictus motus centri grauitatis M non
                <lb/>
              eſt circularis, ſed eſt directus ad horizontem
                <expan abbr="perpẽ-dicularis">perpen­
                  <lb/>
                dicularis</expan>
              , per lineam MQ
                <expan abbr="">non</expan>
              ſecùs ac in trochlea
                <expan abbr="cõ-tingit">con­
                  <lb/>
                tingit</expan>
              vt dictum eſt; huius operationis verò progreſ-</s>
            </p>
          </chap>
        </body>
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