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.000128">
                <pb pagenum="26" xlink:href="010/01/034.jpg"/>
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                <lb/>
              ſubiecta CID è ſuo loco expellatur, & lateralitèr fluat
                <lb/>
              verſus P, circumferaturque ſurſum vſque ad locum̨
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              relictum à prędicto priſmate lapideo in E. ſunt igitur
                <lb/>
              duæ partes MT, & MS veluti duo canales laterales
                <lb/>
              ſiphonis, qui tamen ſeſe contingunt in communi la­
                <lb/>
              tere MV; prætereà duæ portiones aquæ ſupremæ XA,
                <lb/>
              & MG cùm ſint homogeneæ, æquè graues ſpecie, &
                <lb/>
              æque altæ, ſe mutuò æquilibrantur, pariterque duæ
                <lb/>
              portiones aqueæ ſubiectæ CV, & DS pariter æquili­
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              brantur, vnde patet quòd tantummodo comparari
                <lb/>
              debent inter ſe duo corpora collateralia ſaxum nimi­
                <lb/>
              rum BD, & aqua AH, quæ ab eiſdem planis horizon­
                <lb/>
              talibus BG, & HC comprehenduntur, & hæc ſimiliter
                <lb/>
              fulciuntur ſuſtentanturque à plano aquæ ſubiectæ H
                <lb/>
              C
                <expan abbr="">non</expan>
              firmo, & impermeabili, ſed facilè à ſuo loco
                <lb/>
              amouibili & cedenti. </s>
              <s id="s.000129">inſiſtunt igitur prædicta duo cor­
                <lb/>
              pora BD, & AH non ſecùs ſuſpenſa ac ſi ſuper libram
                <lb/>
              HC inniterentur; huius verò centrum mobile eſſet
                <lb/>
              punctum intermedium D, vbi nimirum libra HC bi­
                <lb/>
              fariàm ſecatur, & ſi à centro grauitatis O ſaxi BD ad
                <lb/>
              centrum P grauitatis aquæ AH recta linea
                <expan abbr="coniũga-tur">coniunga­
                  <lb/>
                tur</expan>
              , eaque ſecetur in Y reciprocè ſecundùm propor­
                <lb/>
              tionem grauitatum eorumdem corporum, patet Y eſ­
                <lb/>
              ſe centrum grauitatis communis ſaxi BD, & aquæ A
                <lb/>
              H, cùmque libra PO ſecetur bifariàm à plano MV in
                <lb/>
              Q iam conſurget fune-pendulum QY horizontaliter
                <lb/>
              excenſum versùs O ob exceſſum grauitatis ſaxi ſupra
                <lb/>
              aquæ pondus ſpecificum, igitur neceſsè eſt vt totą
                <lb/>
              libra flectatur
                <expan abbr="deorsũ">deorsum</expan>
              , & ſic ſaxum BD
                <expan abbr="deſcẽdet">deſcendet</expan>
              . </s>
              <s id="s.000130">Quia </s>
            </p>
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