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

List of thumbnails

< >
121
121 		122
122
123
123 		124
124
125
125 		126
126
127
127 		128
128
129
129 		130
130
< >
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/221.jpg" pagenum="207"/>
              ac minorem ſphæram ſe conformaret, ra­
                <lb/>
              tionem haberet vaſis minoris & minoris;
                <lb/>
              atque adeò aqua magis & magis deprimere­
                <lb/>
              tur, etiam datâ æquali terræ eleuationę. </s>
              <s>
                <lb/>
              Sint enim duo vaſa ſimilia ſed inæqualia, in
                <lb/>
              quibus ſint duo corpora ſimilia & æqualią
                <lb/>
                <arrow.to.target n="note98"/>
                <lb/>
              AB in minori, & KL in maiori ſimiliter po­
                <lb/>
              ſita: & ſit continua ſolidorum immerſorum
                <lb/>
              & aquæ circumfuſæ ſuperficies. </s>
              <s>Extrahatur
                <lb/>
              ex aquâ vtrumque ſolidum pari velocitatę;
                <lb/>
              vtique citiùs emerget omninò illud, quod
                <lb/>
              eſt in minori vaſe, quàm quod eſt in maiori;
                <lb/>
              & multò plus aquæ deſcendere debet in ma­
                <lb/>
              iori quàm in minori, ac proinde plus eleuari
                <lb/>
              debet ſolidum in maiori vaſe, quàm in mi­
                <lb/>
              nori, vt æqualis moles emineat ſupra aquæ
                <lb/>
              deſcendentis ſuperficiem. </s>
            </p>
            <p type="margin">
              <s>
                <margin.target id="note98"/>
                <emph type="italics"/>
              XCVIII
                <lb/>
              Idem
                <expan abbr="ſolidũ">ſolidum</expan>
                <lb/>
              vt extraba­
                <lb/>
              tur ex hu­
                <lb/>
              mido, plus
                <lb/>
              debet eleua­
                <lb/>
              ri in vaſę
                <lb/>
              maiori
                <expan abbr="quã">quam</expan>
                <lb/>
              in minori,
                <lb/>
              & plus a­
                <lb/>
              quæ deſcen­
                <lb/>
              dit in vaſe
                <lb/>
              maiori,
                <expan abbr="quã">quam</expan>
                <lb/>
              in minori. </s>
              <s>
                <lb/>
              Hæc veritas
                <lb/>
              infertur ex
                <lb/>
              contradicto­
                <lb/>
              ria hypothe­
                <lb/>
              ſi.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s>Sit enim primò aquæ in vaſe minori ſu­
                <lb/>
              perficies CD, in vaſe autem maiori OM:
                <lb/>
              deinde ita extrahatur vtrumque ſolidum, vt
                <lb/>
              æquales partes HE & VS emineant ſupra ſu­
                <lb/>
              perficiem, quam denuò acquiſiuit aqua de­
                <lb/>
              ſcendens in locum à ſolido eleuato relictum. </s>
              <s>
                <lb/>
              Dico maiorem eſſe eleuationem VK ſuprą
                <lb/>
              primam ſuperficiem OM, in vaſe maiori,
                <lb/>
              quàm ſit eleuatio AH ſupra primam ſuper­
                <lb/>
              ficiem CD in vaſe minori; ac proinde ſpa­
                <lb/>
              tium relictum NL maius eſſe ſpatio relicto </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum