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

Table of handwritten notes

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            reliquas partes quæ deſunt ad 24, explent argento & </s>
            <s xml:id="echoid-s1326" xml:space="preserve">ære, ſumendo
              <lb/>
            ex vtroque metallo partes æquales in grauitate: </s>
            <s xml:id="echoid-s1327" xml:space="preserve">atque bis rite interſe
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            permixtis componunt aurum deſideratæ qualitatis: </s>
            <s xml:id="echoid-s1328" xml:space="preserve">eamque deno-
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            minant à partibus auri puri in mixtione aſumptis. </s>
            <s xml:id="echoid-s1329" xml:space="preserve">Et quoniam.
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            </s>
            <s xml:id="echoid-s1330" xml:space="preserve">non prodiret tale prorſus quale facere intendunt, ſed paulo perfe-
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            ctius; </s>
            <s xml:id="echoid-s1331" xml:space="preserve">propterea quod auri quidem partes in mixtione maneant, ex
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            argento vero & </s>
            <s xml:id="echoid-s1332" xml:space="preserve">ære ali quid deper datur, ſolent Aurifices tanto plus
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            miſcere argenti & </s>
            <s xml:id="echoid-s1333" xml:space="preserve">æris quantum perdi poſſe deprebenderunt.</s>
            <s xml:id="echoid-s1334" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1335" xml:space="preserve">V erum nostra intentio non est omnia quæ ad eiuſmodi mixtiones
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            pertinent boc loco exponere; </s>
            <s xml:id="echoid-s1336" xml:space="preserve">ſed illud tantum vt receptum apud om-
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            nes ad ferre voluimus, ex quo manifeste constat, quæ metallorum
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            mixtio in ſingulis qualitatum generibus statuatur: </s>
            <s xml:id="echoid-s1337" xml:space="preserve">quæquidem eſt
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            illa quam adduximus nempe in auro 23, partium, partes 23, eſſe
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            auripuri, & </s>
            <s xml:id="echoid-s1338" xml:space="preserve">reliquam quæ deest ad 24, partes conſtare dimidia
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            parte argenti, & </s>
            <s xml:id="echoid-s1339" xml:space="preserve">dimidia æris in grauitate. </s>
            <s xml:id="echoid-s1340" xml:space="preserve">In auro vero 22, par-
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            tium, auri eſſe 22, argenti vnam, & </s>
            <s xml:id="echoid-s1341" xml:space="preserve">æris vnam, ſic entm iterum
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            fumma omnium partium est 24, eademque est ratio de reliquis ita
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            vt numerus partium auri, ſemper denominet qualitatem auri, & </s>
            <s xml:id="echoid-s1342" xml:space="preserve">
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            vna medietas reliquarum partium, quæ partibus auri deſunt ad
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            complendas partes 24, ſit argenti, & </s>
            <s xml:id="echoid-s1343" xml:space="preserve">reliqua medietas ſit æris. </s>
            <s xml:id="echoid-s1344" xml:space="preserve">bæc
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            enim ſatis est ſuppoſuiſſe, ad nouum illud artificium, quo paulo poſt
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            inuestig aturi ſumus auri qualitatem ex ſola grauitate quam habet
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            in aere & </s>
            <s xml:id="echoid-s1345" xml:space="preserve">aqua, eamque qualitatem duplici via inuestigabimus,
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            vna per calculum, per tabellam altera: </s>
            <s xml:id="echoid-s1346" xml:space="preserve">& </s>
            <s xml:id="echoid-s1347" xml:space="preserve">quia ad calculum ſpe-
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            ctant ea, quæ ſuperius inuenimus de grauitate metallorum bucre-
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            ferenda cenſuimus quæ bic ſunt neceſſaria, cuiuſmodi ſunt auri,
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            argenti, atque æris grauitas, quam obtinent in aere, & </s>
            <s xml:id="echoid-s1348" xml:space="preserve">aqua, quæ
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            quidem ita ſe babet vt ſequitur.</s>
            <s xml:id="echoid-s1349" xml:space="preserve"/>
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            <s xml:id="echoid-s1350" xml:space="preserve">Auri puri grauitas, quæ in aere eſt 19, erit in aqua 18.</s>
            <s xml:id="echoid-s1351" xml:space="preserve"/>
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            <s xml:id="echoid-s1352" xml:space="preserve">Argenti grauitas, quæ in aere eſt 31, erit in aqua 28.</s>
            <s xml:id="echoid-s1353" xml:space="preserve"/>
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            <s xml:id="echoid-s1354" xml:space="preserve">Aeris grauitas, quæ in aere est 9, erit in aqua 8.</s>
            <s xml:id="echoid-s1355" xml:space="preserve"/>
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            <s xml:id="echoid-s1356" xml:space="preserve">Aurum ad aquam ſe babet in grauitate vt 19, ad I.</s>
            <s xml:id="echoid-s1357" xml:space="preserve"/>
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            <s xml:id="echoid-s1358" xml:space="preserve">Argentum ad aquam ſe babet in grauitate vt 31, ad 3.</s>
            <s xml:id="echoid-s1359" xml:space="preserve"/>
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            <s xml:id="echoid-s1360" xml:space="preserve">Aes ad aquam ſe babet in grauitate vt 9, ad 1.</s>
            <s xml:id="echoid-s1361" xml:space="preserve"/>
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            <s xml:id="echoid-s1362" xml:space="preserve">Ex quibus clariſſime colligitur, ſi aliquod corpus mistum con-
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            stet partibus æqualibus argenti, & </s>
            <s xml:id="echoid-s1363" xml:space="preserve">aeris in grauitate, quantam
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            grauitatem babeat in aqua. </s>
            <s xml:id="echoid-s1364" xml:space="preserve">& </s>
            <s xml:id="echoid-s1365" xml:space="preserve">quæ ſit ratio in grauitate ipſius mi-
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            sti ad aquam ſi enim grauitas aeris in aere ſit 9, eius grauitas in
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            aquaerit 8, & </s>
            <s xml:id="echoid-s1366" xml:space="preserve">ſi grauitas argenti in aere ſit quoque 9, erit eius </s>
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