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

List of thumbnails

< >
151
151
152
152
153
153
154
154
155
155
156
156
157
157
158
158
159
159
160
160
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/160.jpg" pagenum="146"/>
                <arrow.to.target n="note70"/>
                <lb/>
              tiùs examinanti, vtrùm omni prorſus labe
                <lb/>
              careat tua hæc argumentatio. </s>
              <s>Sit vas cu­
                <lb/>
              preum AR molis vnâ cum incluſo aëre pe­
                <lb/>
              dalis, & vaſis pondus lib. 80, quod eſt pon­
                <lb/>
              dus pedis cubici aquæ. </s>
              <s>Eſt igitur vas eiuſ­
                <lb/>
              dem ſpecificæ grauitatis cum aquâ; atque
                <lb/>
              adeò cum grauitas cupri ad grauitatem aquæ
                <lb/>
              ſit vt 71. ad 8, moles cupri ad molem aëris
                <lb/>
              incluſi eſt vt 8 ad 63. Quarè vas aëre plenum
                <lb/>
              nihil in aquâ grauitat, aut leuitat; ſed ſi mer­
                <lb/>
              gatur intrà aquam, quæ aëre excluſo impleat
                <lb/>
              vaſis capacitatem, iam vas intrà aquam pon­
                <lb/>
              dus habebit lib. 80. minùs pondere, quod
                <lb/>
              habet aqua ſecundùm molem cupro æqualis. </s>
              <s>
                <lb/>
              Quia igitur moles cupri eſt (8/71) pedis cubici,
                <lb/>
              fiat vt 71 ad 8, ita lib. 80 pondus pedis cu­
                <lb/>
              bici aquæ, ad lib. 9. (1/71) pondus aquæ æqualis
                <lb/>
              cupro vaſis. </s>
              <s>Erit itaque vaſis pleni aquâ in­
                <lb/>
              trà aquam grauitas lib. (70 70/71): quod quidem
                <lb/>
              pondus tribuendum eſt cupro, non autem
                <lb/>
              aquæ vas implenti, quæ intrà aquam non
                <lb/>
              grauitat: cum maximè idem eſſet in aquâ
                <lb/>
              eiuſdem cupri pondus, etiamſi in maſſam
                <lb/>
              conflatum nihil aquæ contineret. </s>
              <s>Quan­
                <lb/>
              quam non nego grauitatem illam cupri iņ
                <lb/>
              aquâ eſſe æqualem grauitati molis aqueæ vas
                <lb/>
              implentis, ſi illa extra aquam in aere
                <gap/>
                <lb/>
              transferatur; eſt enim moles aquæ vas im­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>