Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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            <s xml:id="echoid-s197" xml:space="preserve">
              <pb o="3" file="0017" n="17" rhead="DE IIS QVAE VEH. IN AQVA."/>
            iuncta, & </s>
            <s xml:id="echoid-s198" xml:space="preserve">continuata: </s>
            <s xml:id="echoid-s199" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s200" xml:space="preserve">ſectio planorũ ipſius K m K n:
              <lb/>
            </s>
            <s xml:id="echoid-s201" xml:space="preserve">& </s>
            <s xml:id="echoid-s202" xml:space="preserve">in humido intelligatur quædam magnitudo r s q y ex ip
              <lb/>
            ſo humido conſtans, æqualis, & </s>
            <s xml:id="echoid-s203" xml:space="preserve">ſimilis ſolidæ b h t c, quæ
              <lb/>
            quidem pars eſt ſolidæ magnitudinis in humido demerſa. </s>
            <s xml:id="echoid-s204" xml:space="preserve">
              <lb/>
            partes igitur humidi, quæ ſcilicet in prima pyramide ſuper
              <lb/>
            ficie x o continetur, & </s>
            <s xml:id="echoid-s205" xml:space="preserve">quæ in altera continetur p o, æquali
              <lb/>
            ter ſunt poſitæ, & </s>
            <s xml:id="echoid-s206" xml:space="preserve">continuatæ ſed non ſimiliter premun-
              <lb/>
            tur. </s>
            <s xml:id="echoid-s207" xml:space="preserve">nam contenta quidem x o, premitur ſolido e h t f, & </s>
            <s xml:id="echoid-s208" xml:space="preserve">
              <lb/>
            humido interiecto inter ſuperficies x o, l m, & </s>
            <s xml:id="echoid-s209" xml:space="preserve">plana pyra-
              <lb/>
            midis; </s>
            <s xml:id="echoid-s210" xml:space="preserve">contenta uero p o premitur ſolido r s q y, & </s>
            <s xml:id="echoid-s211" xml:space="preserve">humi-
              <lb/>
            do inter ſuperficies o p, m n, & </s>
            <s xml:id="echoid-s212" xml:space="preserve">pyramidis plana interiecto. </s>
            <s xml:id="echoid-s213" xml:space="preserve">
              <lb/>
            minor autem eſt grauitas humidi, quod eſt inter m n, o p,
              <lb/>
            quàm eius, quod inter l m, x o. </s>
            <s xml:id="echoid-s214" xml:space="preserve">ſolidum enim r s q y eſt mi
              <lb/>
            nus ſolido e h t f: </s>
            <s xml:id="echoid-s215" xml:space="preserve">cum ſit æquale ipſi b h t c; </s>
            <s xml:id="echoid-s216" xml:space="preserve">quia magnitu
              <lb/>
            dine æquale, & </s>
            <s xml:id="echoid-s217" xml:space="preserve">æque graue ponitur ſolidum, atque humi-
              <lb/>
            dum: </s>
            <s xml:id="echoid-s218" xml:space="preserve">reliquum autem reliquo inæquale eſt. </s>
            <s xml:id="echoid-s219" xml:space="preserve">conſtatigitur
              <lb/>
            partem contentã ſuperficie o p, expelli ab ea, quæ ipſa x o
              <lb/>
            continetur: </s>
            <s xml:id="echoid-s220" xml:space="preserve">& </s>
            <s xml:id="echoid-s221" xml:space="preserve">non conſiſtere humidum. </s>
            <s xml:id="echoid-s222" xml:space="preserve">ponebatur au-
              <lb/>
            tem conſiſtens, & </s>
            <s xml:id="echoid-s223" xml:space="preserve">manens: </s>
            <s xml:id="echoid-s224" xml:space="preserve">non ergo ex ſuperficie humidi
              <lb/>
            extat aliquid ſolidæ magnitudinis. </s>
            <s xml:id="echoid-s225" xml:space="preserve">ſed neque demerſum
              <lb/>
            ſolidum ad inferiora feretur. </s>
            <s xml:id="echoid-s226" xml:space="preserve">Similiter enim prementur
              <lb/>
            omnes partes humidi æqualiter poſitæ, cum ſolidum ſit æ-
              <lb/>
            que graue, atque humidum.</s>
            <s xml:id="echoid-s227" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div14" type="section" level="1" n="11">
          <head xml:id="echoid-head14" xml:space="preserve">PROPOSITIO IIII.</head>
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            <s xml:id="echoid-s228" xml:space="preserve">
              <emph style="sc">Solidarvm</emph>
            magnitudinum, quæcunque
              <lb/>
            leuior humido fuerit, demiſſa in humidum non
              <lb/>
            demergetur tota, ſed aliqua pars ipſius ex humi-
              <lb/>
            di ſuperficie extabit.</s>
            <s xml:id="echoid-s229" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s230" xml:space="preserve">SIT magnitudo ſolida humido leuior; </s>
            <s xml:id="echoid-s231" xml:space="preserve">& </s>
            <s xml:id="echoid-s232" xml:space="preserve">demiſſa in hu
              <lb/>
            midum demergatur tota, ſi fieri poteſt, ut nulla pars </s>
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