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

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            <p type="main">
              <s id="s.001506">
                <pb pagenum="289" xlink:href="010/01/297.jpg"/>
                <arrow.to.target n="marg387"/>
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            <p type="margin">
              <s id="s.001507">
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              Cap. 7. dę
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              natura flui­
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              ditatis.</s>
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            <p type="main">
              <s id="s.001508">
                <emph type="center"/>
              PROP. CXXXVI.
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              </s>
            </p>
            <p type="main">
              <s id="s.001509">
                <emph type="center"/>
                <emph type="italics"/>
              Partes quantæ actu infinitæ numero, & inter ſe inæquales
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              componunt extenſionem infinitam.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001510">SInt partes AB, CD, EF, GH, IK, &c. </s>
              <s id="s.001511">numero in­
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              finitæ, & inter ſe inæquales. </s>
              <s id="s.001512">Dico extenſionem
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              infinitam conflare. </s>
              <s id="s.001513">Quia dantur omnes partes quan­
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              tæ numero infinitæ, ergò datur earum minima, quæ
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              ſit AB, & ex reliquis maioribus ſecentur portiones
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              CL, EM, GN, &c. </s>
              <s id="s.001514">ſingulæ æquales minimæ AB; &
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              quia particulæ infinitæ inæquales
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                <figure id="id.010.01.297.1.jpg" xlink:href="010/01/297/1.jpg" number="113"/>
                <lb/>
              AB, CD, EF, &c. </s>
              <s id="s.001515">maiorem exten­
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              ſionem
                <expan abbr="componũt">componunt</expan>
              , quàm partes in­
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              finitæ diminutæ, inter ſe æquales
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              AB, CL, EM, &c. </s>
              <s id="s.001516">&, ex præcedenti,
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              infinitæ particulæ quantæ eiuſdem generis AB, CL,
                <lb/>
              EM, &c. </s>
              <s id="s.001517">inter ſe æquales componunt extenſionem̨
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              infinitam, ergò multò magis inſi initæ partes illis ma­
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              iores inæquales AB, CD, EF, &c. </s>
              <s id="s.001518">extenſionem infi­
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              nitam efficient, quod erat. </s>
            </p>
            <p type="main">
              <s id="s.001519">
                <emph type="center"/>
              PROP. CXXXVII.
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              </s>
            </p>
            <p type="main">
              <s id="s.001520">
                <emph type="center"/>
                <emph type="italics"/>
              Si eiuſdem aggregati aliquæ partes moueantur cæteris quie­
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              ſcentibus, vel omnes inæqualibus motibus agitentur,
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              qui tamen non competant, nec aptari posſint
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              partibus corporis duri, & conſistentis, ne­
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              ceſſariò illius aggregati partes erunt
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              actu diuiſæ.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
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