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

Table of figures

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[41. Figure]
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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000596">
                <pb pagenum="119" xlink:href="010/01/127.jpg"/>
              ergò duos impetus ad inuicem contrarios, nempè
                <lb/>
                <arrow.to.target n="marg146"/>
                <lb/>
              leuitatis aeris F grad. 3. & grauitatis gra. </s>
              <s id="s.000597">3. aquæ
                <lb/>
              circumfuſæ D, & hæ duæ virtutes motiuæ ſimùl ſum­
                <lb/>
              ptæ gr.6. component menſuram conatus, & impetus,
                <lb/>
              quo lignum F per aquam aſcendit, hoc tamen eſt fal­
                <lb/>
                <arrow.to.target n="marg147"/>
                <lb/>
              ſum, & contra conceſſionem eiuſdem aduerſarij, &
                <lb/>
              contra demonſtrationem Archimedis, & tandem̨
                <lb/>
              contra experientiam, quia ea, quæ feruntur ſursùm
                <lb/>
              in aqua, tanta vi aſcendunt, quanta eſt grauitas,
                <lb/>
              qua moles aquæ æqualis corpori demerſo ſuperat
                <lb/>
              huiusmet grauitatem, quod perindè eſt, ac ſi dica­
                <lb/>
              tur impetum ſursùm menſurari à differentia grauita­
                <lb/>
              tum aeris, & aquæ gr. 2. non autem ab aggregato
                <lb/>
              gr. 6. leuitatis illius, & grauitatis huius. </s>
              <s id="s.000598">Quaprop­
                <lb/>
              ter non poterit aer, vel
                <expan abbr="lignũ">lignum</expan>
              ſursùm impelli ab eius
                <lb/>
              leuitate poſitiua. </s>
            </p>
            <p type="margin">
              <s id="s.000599">
                <margin.target id="marg146"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
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              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="margin">
              <s id="s.000600">
                <margin.target id="marg147"/>
              Prop. 53.</s>
            </p>
            <p type="main">
              <s id="s.000601">
                <emph type="center"/>
              PROP. LVIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000602">
                <emph type="center"/>
                <emph type="italics"/>
              Idipſum ostendere poſito quòd aer, & aqua vtramque vim
                <lb/>
              leuitatis, & grauitatis exerceat.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000603">SVpponamus ſecundo loco tam
                <expan abbr="aerẽ">aerem</expan>
              , quàm
                <expan abbr="aquã">aquam</expan>
                <lb/>
              ſemper retinere ambas oppoſitas qualitates,
                <lb/>
              ſcilicèt perpetuò afficiantur ijſdem gradibus graui­
                <lb/>
              tatis, atque leuitatis ſitque leuitas aeris F trium gra­
                <lb/>
              duum, & maior leuitate ipſius aquæ D vnius gradus;
                <lb/>
              at è contrà gradus grauitatis eiuſdem aeris F gra­
                <lb/>
              dus vnius minor ſit pondere graduum 3. molis aquæ
                <lb/>
              D, quæ æqualis ſit ipſi F, habebimus profectò qua-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>