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

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              <pb o="9" file="0021" n="21" rhead="ARCHIMEDES."/>
            juperat numerum 21, numero 2, erit grauitàs aquæ magnitudinem
              <lb/>
            habentis æqualem plumbo A, 2.</s>
            <s xml:id="echoid-s289" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s290" xml:space="preserve">Eadem via omnium liquidorum inuenitur grauitas, quan-
              <lb/>
            do nimirum corpus ſolidum ſit grauius liquido, cuius liquidi
              <lb/>
            quærenda eſt grauitas, hoc eſt quando corpus ſolidum demiſ-
              <lb/>
            ſum in liquidum feratur deorſum.</s>
            <s xml:id="echoid-s291" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s292" xml:space="preserve">Quando vero corpus ſolidum fuerit leuius liquido, hoc eſt
              <lb/>
            demiſſum in liquidum non deſcendat, per adiectionem alicuius
              <lb/>
            alius ſolidi corporis liquido grauioris, quæſita liquidi grauitas
              <lb/>
            inuenietur.</s>
            <s xml:id="echoid-s293" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s294" xml:space="preserve">Sit igitur propoſitum aliquod cereum corpus A, cuius grauitas ſit
              <lb/>
            21. </s>
            <s xml:id="echoid-s295" xml:space="preserve">& </s>
            <s xml:id="echoid-s296" xml:space="preserve">oporteat ſcire quanta erit grauitas aquæ magnitudinem haben-
              <lb/>
            tis æqualem ceræ A. </s>
            <s xml:id="echoid-s297" xml:space="preserve">Quoniam cera leuior est, quam aqua, ſi demitta-
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            tur in aquam non feretur deorſum, accipiatur aliquod corpus ſolidum
              <lb/>
            F, grauius quam aqua, ita vt corpus constans ex vtriſque corporibus
              <lb/>
            A, F, demiſſum in aquam feratur deorſum, ſit igitur corpus F, plum-
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            beum, cuius grauitas ſit v. </s>
            <s xml:id="echoid-s298" xml:space="preserve">g. </s>
            <s xml:id="echoid-s299" xml:space="preserve">23, & </s>
            <s xml:id="echoid-s300" xml:space="preserve">eiuſdem in aqua ponderati 21,
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            e
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            rgo aquæ magnitudinem habentis æqualĕplumbo F, erit grauitas 2,</s>
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          <p style="it">
            <s xml:id="echoid-s301" xml:space="preserve">Et quoniam ceræ A, grauitas est 21, plumbi vero F, 23, erit vtro-
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            rumque corporum A, F, ceræ nimirum, & </s>
            <s xml:id="echoid-s302" xml:space="preserve">plumbi grauitas 44, coniun
              <lb/>
            gatur cera, & </s>
            <s xml:id="echoid-s303" xml:space="preserve">plumbum, & </s>
            <s xml:id="echoid-s304" xml:space="preserve">ita coniuncta ponderentur in aqua, & </s>
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            habeant grauitatem 20, quoniam igitur numerus 44, ſuperat nume-
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            rum 20, numero 24, erit grauitas aquæ habentis magnitudinem æqua-
              <lb/>
            lem vtriſque corporibus ceræ & </s>
            <s xml:id="echoid-s306" xml:space="preserve">plumbi 24, ſed grauitas aquæ magni-
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            tudinem habentis æqualem plumbo F, est 2, ergo reliquum quod est
              <lb/>
            22, erit grauitas, aquæ magnitudine æqualis propoſitæ cera A.</s>
            <s xml:id="echoid-s307" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s308" xml:space="preserve">At vero ſi propoſitum fuerit aliquod corpus ſolidum ma-
              <lb/>
            gni ponderis, ita vt difficile poſſit ponderari in aqua, hac via
              <lb/>
            inuenietur aquæ quæſita grauitas.</s>
            <s xml:id="echoid-s309" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s310" xml:space="preserve">Sit aliquod corpus plumbeũ A, cuius grauitas 2300, & </s>
            <s xml:id="echoid-s311" xml:space="preserve">oporteat in
              <lb/>
            uenire grauitatem aquæ magnitudinem habentis æqualĕ plumbo A,
              <lb/>
            accipiatur aliquod paruum plumbi corpus F, cuius grauitas ſit v. </s>
            <s xml:id="echoid-s312" xml:space="preserve">g.
              <lb/>
            </s>
            <s xml:id="echoid-s313" xml:space="preserve">23, & </s>
            <s xml:id="echoid-s314" xml:space="preserve">inueniatur grauitas aquæ magnitudine æqualis plumbo F, vt
              <lb/>
            dictum est, quæ ſit. </s>
            <s xml:id="echoid-s315" xml:space="preserve">2, & </s>
            <s xml:id="echoid-s316" xml:space="preserve">fiat vt 23, ad 2, ita 2300, ad alium numerum
              <lb/>
            qui ſit 200. </s>
            <s xml:id="echoid-s317" xml:space="preserve">grauitas igitur aquæ magnitudinem habentis æqualem
              <lb/>
            plumbo A, erit 200.</s>
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          </p>
          <p style="it">
            <s xml:id="echoid-s319" xml:space="preserve">Similiter ſit aliquod cereum corpus A, cuius grauitas 2100, & </s>
            <s xml:id="echoid-s320" xml:space="preserve">opor
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            teat facere, quod imperatùm eſt. </s>
            <s xml:id="echoid-s321" xml:space="preserve">accipiatur aliquod paruum ceræ cor-
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            pus F, cuius grauitas ſit v. </s>
            <s xml:id="echoid-s322" xml:space="preserve">g. </s>
            <s xml:id="echoid-s323" xml:space="preserve">21, & </s>
            <s xml:id="echoid-s324" xml:space="preserve">inuenta grauitate aquæ </s>
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