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

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          <pb o="22" file="0034" n="34" rhead="PROMOTVS"/>
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        <div xml:id="echoid-div43" type="section" level="1" n="25">
          <head xml:id="echoid-head28" xml:space="preserve">PROBLEMA VII. PROPOS. XIV.</head>
          <p>
            <s xml:id="echoid-s561" xml:space="preserve">PRopoſitis duobus liquidis corporibus magnitudine
              <lb/>
            ęqualibus, data grauitate vnius, grauitatem alte-
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            rius inuenire.</s>
            <s xml:id="echoid-s562" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s563" xml:space="preserve">SINT propoſita duo cor-
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              <figure xlink:label="fig-0034-01" xlink:href="fig-0034-01a" number="15">
                <image file="0034-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0034-01"/>
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            ra liquida, magnitudine æqualia
              <lb/>
            A, B, ſit autem vnius, vtpote li-
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            quidi A, data grauitas G, & </s>
            <s xml:id="echoid-s564" xml:space="preserve">
              <lb/>
            oporteat alterius liquidi B, gra-
              <lb/>
            uitatem inuenire. </s>
            <s xml:id="echoid-s565" xml:space="preserve">Accipiatur
              <lb/>
            aliquod corpus ſolidum C, & </s>
            <s xml:id="echoid-s566" xml:space="preserve">li-
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            quidi, quod ſit H, eiuſdem ge-
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            neris cum liquido A, magnitu-
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              <note position="left" xlink:label="note-0034-01" xlink:href="note-0034-01a" xml:space="preserve">8
                <unsure/>
              . huius</note>
            dine æqualis ſolido C, inuenia- tur grauitas, quæ ſit D, ſimiliter
              <lb/>
            & </s>
            <s xml:id="echoid-s567" xml:space="preserve">liquidi, quod ſit I, eiuſdem
              <lb/>
            generis cum liquido B, magni-
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            tudine æqualis eidem ſolido C,
              <lb/>
              <note position="left" xlink:label="note-0034-02" xlink:href="note-0034-02a" xml:space="preserve">8. huius</note>
            inueniatur grauitas, quæ ſit & </s>
            <s xml:id="echoid-s568" xml:space="preserve">fiat vt D, ad E, ita G, ad aliam grauitatem, quæ ſit F. </s>
            <s xml:id="echoid-s569" xml:space="preserve">Quoniam
              <lb/>
            igitur eſt vt A, ad B, ita H, ad I, æquale videlicet ad æquale, erit per-
              <lb/>
            mutando vt A, ad H, ita B, ad I, & </s>
            <s xml:id="echoid-s570" xml:space="preserve">quoniam eiuſdem ſunt generis cor-
              <lb/>
              <note position="left" xlink:label="note-0034-03" xlink:href="note-0034-03a" xml:space="preserve">4. buius</note>
            pora A, H, ſimiliter & </s>
            <s xml:id="echoid-s571" xml:space="preserve">corpora B, I, erit vt grauitas G, ad grauita- tem D, ita liquidi B, grauitas, ad grauitatem E, & </s>
            <s xml:id="echoid-s572" xml:space="preserve">permutando vt
              <lb/>
            grauitas G, ad grauitatem liquidi B, ita D, grauitas, ad grauitatem
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            E, ſed vt grauitas D, ad grauitatem E, ita eſt grauitas G, ad graui-
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            tatem F; </s>
            <s xml:id="echoid-s573" xml:space="preserve">ergo grauitas F, æqualis erit grauitati liquidi B. </s>
            <s xml:id="echoid-s574" xml:space="preserve">inuenta
              <lb/>
            igitur eſt liquidi corporis B, grauitas F, quod facere oportebat.</s>
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          <head xml:id="echoid-head29" xml:space="preserve">Exemplum.</head>
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            <s xml:id="echoid-s576" xml:space="preserve">QVidam proponit aliquod corpus liquidum notæ
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            grauitatis, & </s>
            <s xml:id="echoid-s577" xml:space="preserve">vult ſcire, quanta erit grauitas alte-
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            rius liquidi, magnitudinem habentis propoſito corpori
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            liquido æqualem.</s>
            <s xml:id="echoid-s578" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s579" xml:space="preserve">Sit propoſitum aliquod olei corpus A, cuius grauitas 550, & </s>
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            oporteat inuenire, quanta erit grauitas aquæ, magnitudinem </s>
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