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

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              <pb o="25" file="0037" n="37" rhead="ARCHIMEDES."/>
            póris ſolidi, magnitudinem habentis propoſito corpori
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            ex argento viuo æqualem.</s>
            <s xml:id="echoid-s645" xml:space="preserve"/>
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            <s xml:id="echoid-s646" xml:space="preserve">Sit propoſitum aliquod corpus ex argento viuo A, euius grauitas
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            190, & </s>
            <s xml:id="echoid-s647" xml:space="preserve">oporteat inuenire quanta erit grauitas plumbi, magnitudine
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            æqualis propoſito argento viuo A. </s>
            <s xml:id="echoid-s648" xml:space="preserve">inueniatur grauitas aquæ, magni-
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            tudinem habentis æqualem argento viuo A, quæſit 14, deinde inuen-
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            ta grauitate plumbi, magnitudine æqualis ipſi aquæ, vt in exemplo
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            propoſ. </s>
            <s xml:id="echoid-s649" xml:space="preserve">9. </s>
            <s xml:id="echoid-s650" xml:space="preserve">dictum est, ea erit de qua quæritur. </s>
            <s xml:id="echoid-s651" xml:space="preserve">ſit enim inuenta plum-
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            bi grauitas 161, quoniam igitur aqua, cuius grauitas est 14, æqua-
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            tur magnitudine plumbo, cuius grauitas est 161, & </s>
            <s xml:id="echoid-s652" xml:space="preserve">æquatur quoque
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            argento viuo A, plumbum cuius grauitas eſt 161, æquabitur magni-
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            tudine argento viuo A. </s>
            <s xml:id="echoid-s653" xml:space="preserve">quare inuenia, eſt grauitas plumbi, magnitu-
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            dine æqualis propoſito argento viuo A, quod facere oportebat.</s>
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        <div xml:id="echoid-div47" type="section" level="1" n="27">
          <head xml:id="echoid-head30" xml:space="preserve">PROBLEMA VIII. PROPOS. XV.</head>
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            <s xml:id="echoid-s655" xml:space="preserve">PRopoſitis duobus liquidis corporibus æquè graui-
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            bus, data magnitudine vnius, magnitudinem alte-
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            rius inuenire.</s>
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          </p>
          <p>
            <s xml:id="echoid-s657" xml:space="preserve">SINT propoſita duo cor-
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              <figure xlink:label="fig-0037-01" xlink:href="fig-0037-01a" number="16">
                <image file="0037-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0037-01"/>
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            pora liquida a què grauia A,
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            B, ſit autem vnius vt pote li-
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            quidi A, data magnitudo G,
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            & </s>
            <s xml:id="echoid-s658" xml:space="preserve">oporteat inuenire quanta
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            erit magnitudo liquidi B. </s>
            <s xml:id="echoid-s659" xml:space="preserve">Ac-
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            cipiatur aliquod ſolidum cor
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            pus C, & </s>
            <s xml:id="echoid-s660" xml:space="preserve">liquidi quod ſit H,
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            eiuſdem generis cum liquido
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            A, magnitudinem habentis
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            æqualem ſolido C,
              <note position="right" xlink:label="note-0037-01" xlink:href="note-0037-01a" xml:space="preserve">8. huius</note>
            tur grauitas quæ ſit D, ſimili-
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            ter & </s>
            <s xml:id="echoid-s661" xml:space="preserve">liquidi, quod ſitI, eiuſdĕ
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            generis cum liquido B, magni
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            tudinem habentis æqualem eidem ſolido C, inueniatur
              <note position="right" xlink:label="note-0037-02" xlink:href="note-0037-02a" xml:space="preserve">8. huius</note>
            quæ ſit E, & </s>
            <s xml:id="echoid-s662" xml:space="preserve">fiat vt grauitas E, ad grauitatem D, ita magnitudo G, ad
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            ad aliam magnitudinĕ, quæ ſit F. </s>
            <s xml:id="echoid-s663" xml:space="preserve">Quoniam igitur ſunt quatuor cor-
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            pora grauia I, H, B, A, quorum primum, & </s>
            <s xml:id="echoid-s664" xml:space="preserve">ſecundum ſunt magnitu-
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            dine æqualia, tertium vero, & </s>
            <s xml:id="echoid-s665" xml:space="preserve">quartum æque grauia, & </s>
            <s xml:id="echoid-s666" xml:space="preserve">ſunt eiuſdem
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            generis primum videlicet, & </s>
            <s xml:id="echoid-s667" xml:space="preserve">tertium, ſimiliter eiuſdem generis </s>
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