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

Table of handwritten notes

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            habentis propoſito corpori liquido æqualem.</s>
            <s xml:id="echoid-s687" xml:space="preserve"/>
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            <s xml:id="echoid-s688" xml:space="preserve">Sit propoſitum aliquod olei corpus A, cuius magnitudo 600. </s>
            <s xml:id="echoid-s689" xml:space="preserve">& </s>
            <s xml:id="echoid-s690" xml:space="preserve">
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            oporteat inuenire quanta erit magnitudo aquæ, grauitatem babentis
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            æqualem propoſito oleo A, accipiatur aliquod ſolidum corpus C, vt
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            pote plumbeum, & </s>
            <s xml:id="echoid-s691" xml:space="preserve">aquæ magnitudinem habentis æqualem plumbo
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            C, inueniatur grauitas, vt in exemplo prop. </s>
            <s xml:id="echoid-s692" xml:space="preserve">8, dictum eſt, quæ ſit 12.
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            </s>
            <s xml:id="echoid-s693" xml:space="preserve">ſimiliter & </s>
            <s xml:id="echoid-s694" xml:space="preserve">olei æqualem habentis magnit udinem eidem plumbo C,
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            inueniatur grauitas quæ ſit 11, & </s>
            <s xml:id="echoid-s695" xml:space="preserve">fiat vt 12, ad 11, ita 600, ad alium
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            numerũ quiſit 550. </s>
            <s xml:id="echoid-s696" xml:space="preserve">is igitur numerus indicabit quanta erit magni-
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            tudo aquæ grauitatem habentis æqualem propoſito oleo A.</s>
            <s xml:id="echoid-s697" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s698" xml:space="preserve">Similiter ſi propoſitũ ſit aliquod corpus aqueum A, cuius magnita
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            do 5700, & </s>
            <s xml:id="echoid-s699" xml:space="preserve">oporteat inuenire, quanta erit magnitudo argecti viui,
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            grauitatem habentis æqualem propoſitæ aquæ A. </s>
            <s xml:id="echoid-s700" xml:space="preserve">Accipiatur aliquod
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            corpus ſolidum C, ſi aureum, ſuper inducatur ei cerea tunica propter
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            iam dictã rationem, deinde argenti viui, magnitudine æqualis ipſi C,
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            inueniatur grauitas quæ ſit 95, ſimiliter & </s>
            <s xml:id="echoid-s701" xml:space="preserve">aquæ magnitudinĕ ha.
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            </s>
            <s xml:id="echoid-s702" xml:space="preserve">bentis equalem eidem C, inueniatur grauitas quæſit 7, & </s>
            <s xml:id="echoid-s703" xml:space="preserve">fiat vt 95,
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            ad 7, ita 5700, ad alium numerum, qui ſit 420, is igitur numerus in-
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            dicabit quanta erit magnitudo argenti viui grauitatem habentis
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            æqualem propoſitæ aquæ A.</s>
            <s xml:id="echoid-s704" xml:space="preserve"/>
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            <s xml:id="echoid-s705" xml:space="preserve">Quod ſi propoſitum corpus aqueum A, ſit ſphæricum, cuius
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            ſphæræ diameter ſit 10, & </s>
            <s xml:id="echoid-s706" xml:space="preserve">oporteat inuenire quanta erit dia-
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            meter ſphæræ ex argento viuo, grauitatem habentis æqualem
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            propoſitæ ſphæræ A, ita faciendum erit.</s>
            <s xml:id="echoid-s707" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s708" xml:space="preserve">Accepto vt diximus aliquo corpore ſolido C, & </s>
            <s xml:id="echoid-s709" xml:space="preserve">inuentis grauita-
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            tibus liquidorũ aquæ ſcilicet & </s>
            <s xml:id="echoid-s710" xml:space="preserve">argent viui magnitudinem æqua-
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            lem habentium corpori C, quæ ſint 14, grauitas aquæ, & </s>
            <s xml:id="echoid-s711" xml:space="preserve">190, graui-
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            tas argenti viui, fiat vt 190, ad 14, ita cubus ex 10, hoc est ita 1000,
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            ad alium numerum, qui ſit 73 {13/19}, is igitur numerus erit cubus dia-
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            metriſphæræ ex argento viuo, grauitatem habentis æqualem propo-
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            ſitæ ex aqua ſphæræ A: </s>
            <s xml:id="echoid-s712" xml:space="preserve">quare latus cubicum numeri 73 {13/19}, quod eſt
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            4 {19/100}. </s>
            <s xml:id="echoid-s713" xml:space="preserve">proxime indicabit ipſam diametrum.</s>
            <s xml:id="echoid-s714" xml:space="preserve"/>
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            <s xml:id="echoid-s715" xml:space="preserve">Similiter ſipropoſitum corpus aqueum A, fuerit cubicum, aut
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            alicuius alterius formæregularis, eadem ratione, qua ſupra inuenie-
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            tur latus cubi ex argento viuo, grauitate æqualis propoſito ex aqua
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            cubo A, nam ſi ipſius cubi A, datũ ſit latus 10, erit numerus 73 {13/19},
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            cubus ex argento viuo æqualis grauitate propoſito ex aqua cubo A;
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            </s>
            <s xml:id="echoid-s716" xml:space="preserve">quare latus cubicum numeri 73 {13/19}, quod est 4 {19/100}. </s>
            <s xml:id="echoid-s717" xml:space="preserve">proxime in-
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            dicabit quæſitum latus cubi, ex argento viuo.</s>
            <s xml:id="echoid-s718" xml:space="preserve"/>
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