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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000983">
                <pb pagenum="191" xlink:href="010/01/199.jpg"/>
                <arrow.to.target n="marg250"/>
                <lb/>
              tiam corpoream, & plenam, vt nimirum maius
                <lb/>
              ſpatium occupet, & in hoc caſu comparari debent
                <lb/>
              ſpatia occupata, ſiuè moles æquales inter ſe, &
                <expan abbr="cũ">cum</expan>
                <lb/>
              medio fluido in quo leuitant, vt ſi fuerint duæ pilæ
                <lb/>
              æquales, vna aquea, altera aerea intra
                <expan abbr="mercuriũ">mercurium</expan>
              de­
                <lb/>
              merſę, dicetur maior leuitas intenſiuè aeris reſpectu
                <lb/>
              leuitatis aquæ, & leuitates eamdem proportionem
                <lb/>
              habebunt, quàm raritates molium æquallum aeris,
                <lb/>
                <arrow.to.target n="marg251"/>
                <lb/>
              & aquę in mercurio conſideratæ habent. </s>
              <s id="s.000984">Et hoc eui­
                <lb/>
              dentia ſenſus ſuadet, ſi enim intra hydrargyrum de­
                <lb/>
              mergatur ampulla vitrea plumbo repleta, huius qui­
                <lb/>
              dem gradus leuitatis menſuratur à vi
                <expan abbr="cõntraria">contraria</expan>
              , quæ
                <lb/>
              aſcenſum eius in mercurio prohibere poteſt, ſitque
                <lb/>
              talis vis contraria pondus duarum vnciarum ſuper­
                <lb/>
              poſitum, & intra mercutium fixè detinens
                <expan abbr="natantẽ">natantem</expan>
                <lb/>
              ampullam. </s>
              <s id="s.000985">Si poſtea plumbi vncia è cauitate ampul­
                <lb/>
              læ ſubtrahatur, patet quod
                <expan abbr="tantũ">tantum</expan>
              præcisè totius am­
                <lb/>
              pullæ raritas aucta erit, quantum diminuta fuit ſub­
                <lb/>
              ſtantia corporea ponderoſa intra ampullam eiuſdem
                <lb/>
              molis, & figuræ contenta, & tunc gradus leuitatis
                <lb/>
              præcisè augebitur vna vncia, nam ſi velimus
                <expan abbr="aſcensũ">aſcensum</expan>
                <lb/>
              eiuſdem ampullæ prohibere ſuperponi debent non
                <lb/>
              duæ vt priùs, ſed tres vnciæ, poſtea ſi ampullæ rari­
                <lb/>
              tas denuò augeatur detracta altera
                <expan abbr="plũbi">plumbi</expan>
              vncia, gra­
                <lb/>
              dus quoque leuitatis eadem menſura creſcet vt ni­
                <lb/>
              mirùm requirantur quatuor vnciæ ad prohibendum
                <lb/>
              eius aſcenſum è mercurio, idemque verificatur ſi
                <lb/>
              vlterius pondus internum ampullæ diminuatur; qua­
                <lb/>
              re incrementa leuitatis proportionalia ſunt incre-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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