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

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page |< < (23) of 89 > >|
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              <pb o="23" file="0035" n="35" rhead="ARCHIMEDES."/>
            tis æqualem propoſito oleo A, Accipiatur aliquod corpus ſolidum C,
              <lb/>
            vtpote plumbeum, & </s>
            <s xml:id="echoid-s581" xml:space="preserve">aquæ, magnitudinem babentis æqualem plumbo
              <lb/>
            C, inueniatur grauitas, quæ ſit 12, vt in exemplo propoſ. </s>
            <s xml:id="echoid-s582" xml:space="preserve">8. </s>
            <s xml:id="echoid-s583" xml:space="preserve">dictũ eſt.
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            <s xml:id="echoid-s584" xml:space="preserve">Similiter & </s>
            <s xml:id="echoid-s585" xml:space="preserve">olei, magnitudinem æqualem babentis, eidem plumbo C,
              <lb/>
            inueniatur grauitas, quæ ſit 11, & </s>
            <s xml:id="echoid-s586" xml:space="preserve">fiat, vt 11, ad 12, ita 550, ad aliũ
              <lb/>
            numerum qui ſit 600. </s>
            <s xml:id="echoid-s587" xml:space="preserve">is igitur numerus indicabit quanta erit graui-
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            tas aquæ, magnitudinem babentis æqualem propoſito oleo A.</s>
            <s xml:id="echoid-s588" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s589" xml:space="preserve">Si vero propoſitum ſit aliquod argenti viui corpus A, cuius
              <lb/>
            grauitas 95, & </s>
            <s xml:id="echoid-s590" xml:space="preserve">oporteat inuenire, quanta erit grauitas aquæ, magni-
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            tudinem babentis æqualem propoſito argento viuo A. </s>
            <s xml:id="echoid-s591" xml:space="preserve">Accipiatur ali-
              <lb/>
            quod vas vitreum mundum, & </s>
            <s xml:id="echoid-s592" xml:space="preserve">politum, cuius grauitas ſit v. </s>
            <s xml:id="echoid-s593" xml:space="preserve">g. </s>
            <s xml:id="echoid-s594" xml:space="preserve">91.
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            </s>
            <s xml:id="echoid-s595" xml:space="preserve">ipſumq; </s>
            <s xml:id="echoid-s596" xml:space="preserve">vas plenum aqua ponderetur in aqua, & </s>
            <s xml:id="echoid-s597" xml:space="preserve">habeat grauitatem
              <lb/>
            55, quoniam igitur numerus 91, ſuper at numerũ 55, numero 36,
              <note position="right" xlink:label="note-0035-01" xlink:href="note-0035-01a" xml:space="preserve">5. buius</note>
            grauitas aquæ, magnitudinem babentis æqualem ipſivaſi, boc est ſoli-
              <lb/>
            ditati ipſius vaſis 36, ponatur deinde in ipſum vas propoſitum argen-
              <lb/>
            tum viuũ A, nibil interest, vt vas ſit plenum, vel non, & </s>
            <s xml:id="echoid-s598" xml:space="preserve">quoniam ar
              <lb/>
            genti viui A, grauitas est 95, & </s>
            <s xml:id="echoid-s599" xml:space="preserve">vaſis vitrei grauitas 91, erit argenti
              <lb/>
            viui ſimul cum ipſo vaſe, grauitas 186. </s>
            <s xml:id="echoid-s600" xml:space="preserve">ponderetur itaque ipſum vas,
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            ſimulcum argento viuo A, in aqua, ita vt aqua repleat vaſis partem
              <lb/>
            vacuam, & </s>
            <s xml:id="echoid-s601" xml:space="preserve">ſit vaſis grauitas in aqua ſimul cum argento viuo 143,
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            quoniam igitur numerus 186, ſuperat numerum 143, numero 43,
              <note position="right" xlink:label="note-0035-02" xlink:href="note-0035-02a" xml:space="preserve">5. buius</note>
            grauitas aquæ, magnitudinĕ babĕtis æqualem argento viuo, ſimul cũ
              <lb/>
            vaſe 43, ſed grauitas aquæ babentis magnitudinem æqualem vaſi est
              <lb/>
            36, ergo reliquum quod est 7, erit grauitas aquæ, magnitudinem ba-
              <lb/>
            bentis æqualem propoſito argento viuo A.</s>
            <s xml:id="echoid-s602" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s603" xml:space="preserve">Sed ſi propoſitum fuerit aliquod magnum argenti viui cor
              <lb/>
            pus, ita vt difficile poſſit ponderari in aqua, hac via inuenietur
              <lb/>
            aquæ quæſita grauitas.</s>
            <s xml:id="echoid-s604" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s605" xml:space="preserve">Sit propoſitum aliquod magnum argenti viui corpus A, cuius gra-
              <lb/>
            uitas 5700. </s>
            <s xml:id="echoid-s606" xml:space="preserve">& </s>
            <s xml:id="echoid-s607" xml:space="preserve">oporteat facere, quod imperatum eſt. </s>
            <s xml:id="echoid-s608" xml:space="preserve">Accipiatur ali-
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            quodparuum argenti viui corpus C, cuius grauitas ſit 95, & </s>
            <s xml:id="echoid-s609" xml:space="preserve">aquæ,
              <lb/>
            magnitudinem babentis æqualem argento viuo C, inueniatur graui-
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            tas, eo modo quo dictum est, quæ ſit 7, & </s>
            <s xml:id="echoid-s610" xml:space="preserve">fiat vt 95, ad 7, ita 5700, ad
              <lb/>
            alium numerum, qui ſit 420, is igitur numerus indicabit quanta erit
              <lb/>
            grauitas aquæ, magnitudinem babentis æqualem propoſito argento
              <lb/>
            viuo A.</s>
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          </p>
          <p style="it">
            <s xml:id="echoid-s612" xml:space="preserve">Contra, ſit propoſitum aliquod corpus aqueum A, cuius grauitas
              <lb/>
            420, & </s>
            <s xml:id="echoid-s613" xml:space="preserve">oporteat inuenire quanta erit grauitas argenti viui, magni-
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            tudine æqualis propoſitæ aquæ A. </s>
            <s xml:id="echoid-s614" xml:space="preserve">facto, vt ſupra, & </s>
            <s xml:id="echoid-s615" xml:space="preserve">inuenta graui-
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            tate 7, aquæ ſcilicet magnitudinem babentis æqualem argĕto viuo </s>
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