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

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[Item 1.]
[2.] MARINI GHETALDI PATRICII RAGVSINI PROMOTVS ARCHIMEDIS SEV De varijs corporum generibus grauitate & magnitudine comparatis.
[3.] ROM AE, Apud Aloyſium Zannettum. MDCIII. SVPERIORV M PERMISSV.
[4.] REVERENDISSIMO SERAPHINO OLIVARIO RAZZALIO. PATRIARCH AE ALEXANDRINO. Marinus Ghetaldus. S. P. D.
[5.] BENEVOLO LECTORI.
[6.] Seu, DE VARIIS CORPORVM GENERIBVS Grauitate, & magnitudine comparatis. THEOREMA I. PROPOS. I.
[7.] THEOREMA II. PROPOS. II.
[8.] THEOREMA III. PROPOS. III.
[9.] THEOREMA IV. PROPOS. IV.
[10.] THEOREMA V. PROPOS. V.
[11.] THEOREMA VI. PROPOS. VI.
[12.] THEOREMA VII. PROPOS. VII.
[13.] PROBLEMA I. PROPOS. VIII.
[14.] Exemplum.
[15.] PROBLEMA II. PROPOS. IX.
[16.] Exemplum.
[17.] PROBLEMA III. PROPOS. X.
[18.] Exemplum.
[19.] PROBLEMA IV. PROPOS. XI.
[20.] Exemplum.
[21.] PROBLEMAV. PROPOS. XII.
[22.] Exemplum.
[23.] PROBLEMA VI. PROPOS. XIII.
[24.] Exemplum.
[25.] PROBLEMA VII. PROPOS. XIV.
[26.] Exemplum.
[27.] PROBLEMA VIII. PROPOS. XV.
[28.] Exemplum.
[29.] THEOREMA VIII. PROPOS. XVI.
[30.] ALITER.
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            póris ſolidi, magnitudinem habentis propoſito corpori
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            ex argento viuo æqualem.</s>
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          <p style="it">
            <s xml:id="echoid-s646" xml:space="preserve">Sit propoſitum aliquod corpus ex argento viuo A, euius grauitas
              <lb/>
            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
              <lb/>
            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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          <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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            <s xml:id="echoid-s657" xml:space="preserve">SINT propoſita duo cor-
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                <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
              <lb/>
            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
              <lb/>
            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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