Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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          <p>
            <s xml:id="echoid-s307" xml:space="preserve">
              <pb o="5" file="0021" n="21" rhead="DE IIS QVAE VEH. IN AQVA."/>
            midi ſuperficie extare. </s>
            <s xml:id="echoid-s308" xml:space="preserve">Quare conſtat magnitudinem a
              <lb/>
            tanta ui ſurſum ferri, quãta deorſum premitur ab eo, quod
              <lb/>
            eſt ſupra; </s>
            <s xml:id="echoid-s309" xml:space="preserve">uidelicet à d, cũ neutra ab altera expellatur, ſed
              <lb/>
            d fertur deorſum tanta grauitate, quanta eſt c: </s>
            <s xml:id="echoid-s310" xml:space="preserve">ponebatur
              <lb/>
            enim grauitas eius, in quo d ipſi c æqualis. </s>
            <s xml:id="echoid-s311" xml:space="preserve">patet igitur
              <lb/>
            illud quod demonſtrare oportebat.</s>
            <s xml:id="echoid-s312" xml:space="preserve"/>
          </p>
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        <div xml:id="echoid-div20" type="section" level="1" n="14">
          <head xml:id="echoid-head17" xml:space="preserve">PROPOSITIO VII.</head>
          <p>
            <s xml:id="echoid-s313" xml:space="preserve">
              <emph style="sc">Solidae</emph>
            magnitudines humido grauiores
              <lb/>
            demiſſæ in humidum ferentur deorſum, donec
              <lb/>
            deſcendant: </s>
            <s xml:id="echoid-s314" xml:space="preserve">& </s>
            <s xml:id="echoid-s315" xml:space="preserve">erunt in humido tanto leuiores,
              <lb/>
            quanta eſt grauitas humidi molem habentis ſoli-
              <lb/>
            dæ magnitudini æqualem.</s>
            <s xml:id="echoid-s316" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s317" xml:space="preserve">SOLIDAS magnitudines humido grauiores, in hu-
              <lb/>
            midum demiſſas deorſum quidam ferri, donec deſcẽdant,
              <lb/>
            manifeſtum eſt: </s>
            <s xml:id="echoid-s318" xml:space="preserve">partes enim humidi, quæ ſub eis ſunt, pre-
              <lb/>
            muntur magis, quàm partes æqualiter ipſis adiacentes;
              <lb/>
            </s>
            <s xml:id="echoid-s319" xml:space="preserve">quoniam magnitudo ſolida humido grauior ponitur: </s>
            <s xml:id="echoid-s320" xml:space="preserve">le-
              <lb/>
            uiores autem eſſe uti dictum eſt, demonſtrabitur hoc mo-
              <lb/>
            do. </s>
            <s xml:id="echoid-s321" xml:space="preserve">Sit enim aliqua ma-
              <lb/>
              <figure xlink:label="fig-0021-01" xlink:href="fig-0021-01a" number="10">
                <image file="0021-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0021-01"/>
              </figure>
            gnitudo a grauior hu-
              <lb/>
            mido: </s>
            <s xml:id="echoid-s322" xml:space="preserve">& </s>
            <s xml:id="echoid-s323" xml:space="preserve">fit magnitudi-
              <lb/>
            nis quidem a grauitas
              <lb/>
            b c: </s>
            <s xml:id="echoid-s324" xml:space="preserve">humidi uero molẽ
              <lb/>
            habentis æqualem ipſi a
              <lb/>
            grauitas ſit b. </s>
            <s xml:id="echoid-s325" xml:space="preserve">demon-
              <lb/>
            ſtrandum eſt magnitudi
              <lb/>
            nem a in humido exiſtē
              <lb/>
            tem habere grauitatem
              <lb/>
            æqualem ipſi c. </s>
            <s xml:id="echoid-s326" xml:space="preserve">Accipia
              <lb/>
            tur enim alia aliqua magnitudo, in qua d, leuior humido;</s>
            <s xml:id="echoid-s327" xml:space="preserve"/>
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