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

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    <archimedes>
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              <s>
                <pb xlink:href="018/01/053.jpg" pagenum="45"/>
              mill. Rom. 4127 paſſ.822. ad pedes reuoco,
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                <arrow.to.target n="note24"/>
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              pedes quinque Romanos antiquos paſſibus
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              ſingulis tribuens, & ſunt pedes 20639110.
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              Quia verò ſphæræ ſunt in triplicatâ Ratione
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              ſemidiametrorum, comparo terrenam ſe­
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              midiametrum cum ſemidiametro pedali al­
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              terius globi, &
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              R
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              ationem 1. ad 20.639110
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              vſque, ad quartum terminum continuo, vt
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              ſit tertius terminus 425.972861.592100.
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              quartus autem 8791.700747.414127.
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              031000.
                <emph type="italics"/>
              S
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              phæra igitur ſemidiametri pedalis
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              ad terrenam ſphæram
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              R
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              ationem habet ean­
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              dem, quam vnitas ad quartum hunc termi­
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              num. </s>
              <s>Vt autem ſphæræ argillaceæ, cuius
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              ſemidiameter pedalis ſit, grauitatem per­
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              ſpectam haberem, argillam cum aquâ con­
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              tuli, & experimento didici argillæ grauita­
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              tem ad aquæ pondus eſſe vt 27 ad 16. At
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              ſtanni grauitas ad aquæ grauitatem apud
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              Ghetaldum in Archimede Promoto eſt vt
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              100 ad (13 19/37), hoc eſt, vt 37 ad 5.
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              S
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              i igitur
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              Ratio ſtanni ad aquam, & aquæ ad argillam,
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              ſcilicet 37 ad 5. & 16 ad 27 in tribus termi­
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              nis continuetur, ita vt ſint 592,80. 135,
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              Ratio grauitatis ſtanni ad argillæ pondus, da­
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              tâ molis æqualitate, eſt vt 592 ad 135. </s>
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            <p type="margin">
              <s>
                <margin.target id="note24"/>
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              XXIV
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              Terreni glo
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              bi ſoliditas
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              inueſtiga­
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              tur.
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              </s>
            </p>
            <p type="main">
              <s>Quoniam verò apud eundem Ghetaldum
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              ſtanneæ ſphæræ, cuius diameter ſit vnius pe­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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