Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis

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        <div xml:id="echoid-div31" type="section" level="1" n="18">
          <p style="it">
            <s xml:id="echoid-s420" xml:space="preserve">
              <pb o="15" file="0027" n="27" rhead="ARCHIMEDES."/>
            est 22 {57/100}. </s>
            <s xml:id="echoid-s421" xml:space="preserve">proxìmũ vero indicabit quæſitum latus cubi ex aqua.</s>
            <s xml:id="echoid-s422" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s423" xml:space="preserve">Neque diſſimili ratione inuenietur magnitudo olei, aut ar-
              <lb/>
            genti viui, aut cuiuſcumque generis liquidi grauitatem habĕ-
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            tis propoſito corpori ſolido æqualem, ſed quomodo inuenien-
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            da ſit grauitas argenti viui magnitudinem habentis æqualem
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            corpori ſolido, docebimus poſt exemplum propoſitionis de-
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            cimæ quartæ.</s>
            <s xml:id="echoid-s424" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div32" type="section" level="1" n="19">
          <head xml:id="echoid-head22" xml:space="preserve">PROBLEMA IV. PROPOS. XI.</head>
          <p>
            <s xml:id="echoid-s425" xml:space="preserve">P Ropoſitis duobus corporibus æque grauibus, vno ſo
              <lb/>
            lido, altero liquido, data liquidi corporis magnitu-
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            dine, magnitudinem ſolidi inuenire.</s>
            <s xml:id="echoid-s426" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s427" xml:space="preserve">SINT propoſita duo corpora æ-
              <lb/>
              <figure xlink:label="fig-0027-01" xlink:href="fig-0027-01a" number="12">
                <image file="0027-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0027-01"/>
              </figure>
            quæ grauia, A, quidem ſolidum, B,
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            vero liquidum, ſit autem liquidi B;
              <lb/>
            </s>
            <s xml:id="echoid-s428" xml:space="preserve">data magnitudo F, & </s>
            <s xml:id="echoid-s429" xml:space="preserve">oporteat ſolidi
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            A, magnitudinem inuenire. </s>
            <s xml:id="echoid-s430" xml:space="preserve">Accipia-
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            tur aliquod corpus ſolidum D, eiuſdĕ
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            generis cum corpore ſolido A, cuius
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            grauitas ſit G, deinde liquidi quod ſit
              <lb/>
            E, eiuſdem generis cum corpore liqui
              <lb/>
            do B, magnitudinem æ qualem haben-
              <lb/>
            tis ſolido D, inueniatur
              <note position="right" xlink:label="note-0027-01" xlink:href="note-0027-01a" xml:space="preserve">8. huius</note>
            quæ ſit H, & </s>
            <s xml:id="echoid-s431" xml:space="preserve">fiat vt grauitas G; </s>
            <s xml:id="echoid-s432" xml:space="preserve">ad gra-
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            uitatem H, ita F, magnitudo, ad aliam magnitudinem, quæ ſit C;
              <lb/>
            </s>
            <s xml:id="echoid-s433" xml:space="preserve">quoniam igitur ſunt quatuor corpora D, E, A, B, quorum primum D,
              <lb/>
            & </s>
            <s xml:id="echoid-s434" xml:space="preserve">ſecundum E, ſunt magnitudine æqualia, tertium vero A, & </s>
            <s xml:id="echoid-s435" xml:space="preserve">quartũ
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            B, æquæ grauia, & </s>
            <s xml:id="echoid-s436" xml:space="preserve">ſunt eiuſdem generis ſolida D, A, ſimiliter, & </s>
            <s xml:id="echoid-s437" xml:space="preserve">liqui-
              <lb/>
            da E, B, erit vt grauitas G, ad grauitatem H, ita F, magnitudo ad
              <note position="right" xlink:label="note-0027-02" xlink:href="note-0027-02a" xml:space="preserve">7. huius</note>
            gnitudinem ſolidi A, ſed vt grauitas G, ad grauitatem H, ita eſt ma-
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            gnitudo F, ad C, magnitudinem, ergo magnitudo C, æqualis erit ma-
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            gnitudini corporis ſolidi A, inuenta igitur eſt corporis folidi A, ma-
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            gnitudo C, quod erat faciendum.</s>
            <s xml:id="echoid-s438" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s439" xml:space="preserve">Q Vod ſi propoſita duo corpora æque grauia A, B, fue
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            rint regularia vtpote ſphærica, fuerit autem </s>
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