Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <pb xlink:href="018/01/237.jpg" pagenum="223"/>
              <s>tur locus ciphrarum: id quod vt certiùs fiat,
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              colloco A ſub F ita, vt A ſit ſub antepenulti­
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              mâ figurâ. </s>
              <s>Quia verò quando B in F duci­
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              tur, vnica tantùm eſſet ciphra nullitatis ad
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              ipſum F pertinens, ideò productus H ſcribi­
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              tur ſub penultimâ figurâ. </s>
              <s>Cubus demùm L
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              ſub puncto collocatur, quia nullam habet
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              ciphram nullitatis, quæ omittatur. </s>
              <lb/>
              <s>Quod autem pertinet ad ipſam metho­
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              dum, res clara eſt. </s>
              <s>Dum enim triplum la­
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              teris primi ducitur in latus ipſum, hoc eſt F
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              in A, producitur G, quod eſt triplum qua­
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              drati ipſius A. </s>
              <s>Dum verò B in F ducitur, &
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              fit H, planum, quod fit, eſt ex latere ſecun­
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              do in triplum lateris primi. </s>
              <s>Additis G & H
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              fit ſumma I, hoc eſt 3 A Quad. + 3 A in B. </s>
              <s>
                <lb/>
              Hæc ſumma multiplicatur per B, & fit K,
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              hoc eſt 3 A Quadr. in B + 3 A in B Quadr. </s>
              <s>
                <lb/>
              Additur demum L cubus ipſius B, vt ipſius
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              lateris A + B cubus ſit A cub. + 3 A Quadr.
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              in B + 3 A in B Quadr. + B cub. </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Merſ.
                <emph.end type="italics"/>
              </s>
              <s> Præſagiebat animus me aliquid ex
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              te auditurum, quod operationem hanc fa­
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              cilem redderet atque expeditam, vixque pu­
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              to aliquid addi poſſe facilitatis atque perſpi­
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              cuitatis; cum nullâ hìc opus ſit numerorum
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              translatione, & triplicatio lateris primi A,
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              aut multiplicatio lateris ſecundi B in F tri­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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