Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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              <pb o="4" file="0019" n="19" rhead="DE IIS QVAE VEH. IN AQVA."/>
            premitur pars humidi, quæ eſt ſub ſuperficie o p. </s>
            <s xml:id="echoid-s268" xml:space="preserve">quare ex-
              <lb/>
            pellet partem minus preſſam, & </s>
            <s xml:id="echoid-s269" xml:space="preserve">non manebit humidum.
              <lb/>
            </s>
            <s xml:id="echoid-s270" xml:space="preserve">ponebatur autem manens. </s>
            <s xml:id="echoid-s271" xml:space="preserve">non igitur demergetur tota,
              <lb/>
            ſed aliqua pars ipſius ex humidi ſuperficie extabit.</s>
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        <div xml:id="echoid-div16" type="section" level="1" n="12">
          <head xml:id="echoid-head15" xml:space="preserve">PROPOSITIO V.</head>
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            <s xml:id="echoid-s273" xml:space="preserve">
              <emph style="sc">Solidarvm</emph>
            magnitudinum quæcunque le
              <lb/>
            uior humido fuerit, demiſſa in humidum vſque
              <lb/>
            eô demergetur, vt tanta moles humidi, quanta
              <lb/>
            eſt partis demerſæ, eandem, quam tota magnitu-
              <lb/>
            do, grauitatem habeat.</s>
            <s xml:id="echoid-s274" xml:space="preserve"/>
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            <s xml:id="echoid-s275" xml:space="preserve">DISPONANTVR eadem, quæſupra: </s>
            <s xml:id="echoid-s276" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s277" xml:space="preserve">humi-
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            dum manens: </s>
            <s xml:id="echoid-s278" xml:space="preserve">& </s>
            <s xml:id="echoid-s279" xml:space="preserve">magnitudo e h t f humido leuior. </s>
            <s xml:id="echoid-s280" xml:space="preserve">Si igitur
              <lb/>
            humidum manet, ſimiliter prementur eius partes, quæ æ-
              <lb/>
            qualiter iacent. </s>
            <s xml:id="echoid-s281" xml:space="preserve">ſimiliter ergo premetur humidum ſub ſu-
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            perficiebus x o o p.
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            </s>
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              <figure xlink:label="fig-0019-01" xlink:href="fig-0019-01a" number="8">
                <image file="0019-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0019-01"/>
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            quare æ qualis eſt graui-
              <lb/>
            tas, qua premuntur. </s>
            <s xml:id="echoid-s283" xml:space="preserve">eſt
              <lb/>
            autem & </s>
            <s xml:id="echoid-s284" xml:space="preserve">grauitas humi
              <lb/>
            di, quod in prima pyra-
              <lb/>
            mide abſque ſolido b h
              <lb/>
            t c, æqualis grauitati hu
              <lb/>
            midi, quod in altera py-
              <lb/>
            ramide abſq; </s>
            <s xml:id="echoid-s285" xml:space="preserve">r s q y hu-
              <lb/>
            mido. </s>
            <s xml:id="echoid-s286" xml:space="preserve">perſpicuum eſt
              <lb/>
            igitur grauitatem ma-
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            gnitudinis e h t f grauitati humidi r s q y æqualem eſſe. </s>
            <s xml:id="echoid-s287" xml:space="preserve">ex
              <lb/>
            quibus conſtat, tantam humidi molem, quanta eſt pars de
              <lb/>
            merſa ſolidæ magnitudinis, eandem, quam tota magnitu-
              <lb/>
            do habere grauitatem.</s>
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