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

Table of handwritten notes

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            B, quam corpus D, habet in magnitudine ad C, corpus. </s>
            <s xml:id="echoid-s254" xml:space="preserve">Sit enim li-
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            quidi magnitudine æqualis corpo-
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            ri C, grauicas E, ſimiliter, & </s>
            <s xml:id="echoid-s255" xml:space="preserve">liqui-
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            di æqualis magnitudine corpori D,
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            grauitas F, quoniam igitur gra-
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            uia corpora eiuſdem generis, ean-
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            dem in magnitudine rationem ha- bent, quam in grauitate, erit vt ma-
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            gnitudo liquidi æqualis corpori D,
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            ad magnitudinem liquidi æqualis
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            corpori C, hoc eſt, vt magnitudo
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            corporis D, ad magnitudinem cor-
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            poris C, ita grauitas F, ad grauita-
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            tem E, ſed vt grauitas F, ad grauitatem E, ita eſt grauitas
              <note position="right" xlink:label="note-0019-01" xlink:href="note-0019-01a" xml:space="preserve">Ex an-
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              teced.</note>
            A, ad grauitatem corporis B, ergo vt grauitas corporis A, ad graui- tatem corporis B, ita erit magnitudo corporis D, ad corporis C, ma-
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              <note position="right" xlink:label="note-0019-02" xlink:href="note-0019-02a" xml:space="preserve">11. 5.
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              Elem.</note>
            gnitudinem. </s>
            <s xml:id="echoid-s256" xml:space="preserve">Si quatuor igitur grauium corporum primum, & </s>
            <s xml:id="echoid-s257" xml:space="preserve">ſecun-
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            dum, & </s>
            <s xml:id="echoid-s258" xml:space="preserve">c. </s>
            <s xml:id="echoid-s259" xml:space="preserve">quod erat demonſtrandum.</s>
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          <head xml:id="echoid-head16" xml:space="preserve">PROBLEMA I. PROPOS. VIII.</head>
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            <s xml:id="echoid-s261" xml:space="preserve">PRopoſitis duobus corporibus magnitudine æquali-
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            bus, vno ſolido, altero liquido, data ſolidi corporis
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            grauitate, grauitatem liquidi inuenire.</s>
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          </p>
          <p>
            <s xml:id="echoid-s263" xml:space="preserve">SINT duo propoſita corpo-
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            ra magnitudine æqualia A, B,
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            quorum A, ſit ſolidum, B, vero
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            liquidum, & </s>
            <s xml:id="echoid-s264" xml:space="preserve">ſit ſolidi data graui-
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            tas CD, Oportet inuenire quan-
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            ta erit grauitas liquidi B. </s>
            <s xml:id="echoid-s265" xml:space="preserve">Si ſo-
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            lidum A, grauius ſit liquido, de-
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            mittatur in liquidũ, & </s>
            <s xml:id="echoid-s266" xml:space="preserve">habeat in
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            liquido grauitatem ED, quoniam
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            igitur ſolidum A, grauius eſt li-
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            quido, demiſſum in liquidum
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            erit in liquido tanto leuius, quã- ta eſt grauitas liquidi magnitu-
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            dine æqualis ſolido A, ſed ſolidũ
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            A, leuius eſt in liquido, </s>
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