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

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            vitas in aqua 8 {4/31}, est enim vt 9, ad 8 {4/31}, vt 31, ad 28: </s>
            <s xml:id="echoid-s1367" xml:space="preserve">Quare ſi
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            grauitas corporis miſti ex argento, & </s>
            <s xml:id="echoid-s1368" xml:space="preserve">ære iuxta mixtionem prædi-
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            ctam, quæetiam ſubintelligenda erit in ſequentibus, in aere fuerit
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            18, erit in aqua 16 {4/31}, & </s>
            <s xml:id="echoid-s1369" xml:space="preserve">conſequenter
              <emph style="sub">*</emph>
            grauitas aquæ magnitu-
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              <note position="right" xlink:label="note-0075-01" xlink:href="note-0075-01a" xml:space="preserve">5. huius</note>
            dinem babentis æqualem tali corpori misto erit 1 {27/31}; </s>
            <s xml:id="echoid-s1370" xml:space="preserve">quare corpus
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            mistum ex argento & </s>
            <s xml:id="echoid-s1371" xml:space="preserve">ære ad corpus aqueum eiuſdem magnitudi-
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            nis, rationem babebit in grauitats vt 18, ad 1 {27/31}, vel vt 1, ad
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            {29/279}, vel denique in numeris integris vt 279, ad 29, omnium enim
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            iſtorum numerorum eadem eſt ratio.</s>
            <s xml:id="echoid-s1372" xml:space="preserve"/>
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            <s xml:id="echoid-s1373" xml:space="preserve">Quibus ſic conſtitutis inuenietur qualitas auri cuiuſcumque boc
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            modo. </s>
            <s xml:id="echoid-s1374" xml:space="preserve">Sit exemp. </s>
            <s xml:id="echoid-s1375" xml:space="preserve">gratia propoſita aliqua maſſa aurea, cuius gra-
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            uitas in aere ſit vnc 24, & </s>
            <s xml:id="echoid-s1376" xml:space="preserve">oporteat inuenire cuius qualitatis ſit ip-
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            ſum aurum. </s>
            <s xml:id="echoid-s1377" xml:space="preserve">Ponderetur ea maſſain aqua & </s>
            <s xml:id="echoid-s1378" xml:space="preserve">babeat grauitatem
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            vnciarum 22 {2818/5301}, ergo
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            grauitas aquæ magnitudinem baben
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              <note position="right" xlink:label="note-0075-02" xlink:href="note-0075-02a" xml:space="preserve">5. buiuse</note>
            tis æqualem propoſit æ maſſæ erit vnc. </s>
            <s xml:id="echoid-s1379" xml:space="preserve">1 {2483/5301}.</s>
            <s xml:id="echoid-s1380" xml:space="preserve"/>
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            <s xml:id="echoid-s1381" xml:space="preserve">Deinde inueniatur grauitas aquæ magnitudine æqualis auro
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            puro 24, vnciarum: </s>
            <s xml:id="echoid-s1382" xml:space="preserve">boc eſt vt 19, ad 1, ita fiat 24, ad alium, nempe ad
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            vnciam 1 {5/19}, bic enim numerus erit grauitas illius aquæ</s>
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            <s xml:id="echoid-s1383" xml:space="preserve">Fiat denique vt 279, ad 29, ita rurſus 24, vnciæ, ad alium, nume-
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            rus enim quartus, nempe vnc. </s>
            <s xml:id="echoid-s1384" xml:space="preserve">2 {138/279} erit grauitas aquæ, magnitu-
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            dine æqualis corpori miſto ex argento & </s>
            <s xml:id="echoid-s1385" xml:space="preserve">ære, cuius grauitas est in
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            ære vnc. </s>
            <s xml:id="echoid-s1386" xml:space="preserve">24, corpus enim ita miſtum, ad corpus aqueum eiuſdem ma-
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            gnitudinis rationem babet in grauitate vt 279, ad 29.</s>
            <s xml:id="echoid-s1387" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s1388" xml:space="preserve">Atque ita babebuntur tres grauitates trium aquæ quantitatum,
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            quarum prima æquatur auro puro 24, vuciarum, ſecunda maſſæ
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            propoſitæ 24, vnciarum, & </s>
            <s xml:id="echoid-s1389" xml:space="preserve">reliqua corpori misto ex argento & </s>
            <s xml:id="echoid-s1390" xml:space="preserve">ære
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            ſimiliter 24, vnciarum quæ quidem tres grauitates in numeris di-
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            ſponantur eo ordine, quo ſequitur.</s>
            <s xml:id="echoid-s1391" xml:space="preserve"/>
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          <note style="it" position="right" xml:space="preserve">Grauitas aquæ magnitu- \\ dine & qualis auro puro. # Grauitas aqu & magnitu- \\ dine & qualis maſſæ propo- \\ ſite. # Grauitas aque magnitu- \\ dine & qualis corpori miſto \\ ex argento & ære.
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          Vnc. 1 {5/19} # Vnc. 1 {2483/5301} # Vnc. 2 {138/279}</note>
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        <div xml:id="echoid-div83" type="section" level="1" n="45">
          <head xml:id="echoid-head48" style="it" xml:space="preserve">Velin eadem denominatione.</head>
          <note style="it" position="right" xml:space="preserve">Vnc. 1 {1395/5301} # Vnc. 1 {2483/5301} # Vnc. 2 {2622/5301}.</note>
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            <s xml:id="echoid-s1392" xml:space="preserve">Deinde quæratur differentia inter primam & </s>
            <s xml:id="echoid-s1393" xml:space="preserve">tertiam aquæ gra-
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            uitatem, quæ est vnc. </s>
            <s xml:id="echoid-s1394" xml:space="preserve">1 {1227/5301}, & </s>
            <s xml:id="echoid-s1395" xml:space="preserve">bæc differentia statuatur pro
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            primo proportionis termino, pro ſecundo termino ponatur grauitas
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            maſſæ propoſitæ, idest vnc. </s>
            <s xml:id="echoid-s1396" xml:space="preserve">24, & </s>
            <s xml:id="echoid-s1397" xml:space="preserve">protertio denique termino ponatur
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            differentia inter ſecundam aquæ grauitatem & </s>
            <s xml:id="echoid-s1398" xml:space="preserve">tertiam, quæ est
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            vnc. </s>
            <s xml:id="echoid-s1399" xml:space="preserve">1 {139/5301} quartus enim proportionalium terminus nempe </s>
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