Ghetaldi, Marino, Marini Ghetaldi Promotvs Archimedis sev de varijs corporum generibus grauitate & magnitudine comparatis
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            <s xml:id="echoid-s1475" xml:space="preserve">Quæratur exempli gratia quam babet grauitatem in aqua aurũ
              <lb/>
            purum ſeu aurum 24, partium cuius grauitas in aere est lib. </s>
            <s xml:id="echoid-s1476" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1477" xml:space="preserve">Hæe
              <lb/>
            in ſupremo ordine è regione den
              <unsure/>
            ominatoris partium 24, ſub titulo
              <lb/>
            grauitatis auri in aqua, datur vnc. </s>
            <s xml:id="echoid-s1478" xml:space="preserve">11. </s>
            <s xml:id="echoid-s1479" xml:space="preserve">Scrup. </s>
            <s xml:id="echoid-s1480" xml:space="preserve">8, Gran. </s>
            <s xml:id="echoid-s1481" xml:space="preserve">20 {372/1767},
              <lb/>
            quæ fractio licet exprimi poſſit minoribus numeris nĕpe {4/19}, libuit
              <lb/>
            tamen illam maiorem in tabula ponere, vt omnes fractiones totius
              <lb/>
            tabulæ eſſent eiuſdem denominationis, & </s>
            <s xml:id="echoid-s1482" xml:space="preserve">reſponderent denomina-
              <lb/>
            toribus fractionum quæ babentur in tabella partis proportionalis.</s>
            <s xml:id="echoid-s1483" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1484" xml:space="preserve">Rurſum guæratur quam babet grauitatem in aqua aurum ite-
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            rum vnius libræ, qualitatis vero 20, partium. </s>
            <s xml:id="echoid-s1485" xml:space="preserve">quam ſi in tabula
              <lb/>
            quæras, inuenies ſub eodem titulo è regione denominatoris 20, par-
              <lb/>
            tium. </s>
            <s xml:id="echoid-s1486" xml:space="preserve">vnc. </s>
            <s xml:id="echoid-s1487" xml:space="preserve">11, Scrup. </s>
            <s xml:id="echoid-s1488" xml:space="preserve">6, Gran. </s>
            <s xml:id="echoid-s1489" xml:space="preserve">9 {177/1767}. </s>
            <s xml:id="echoid-s1490" xml:space="preserve">eademque est ratio de re-
              <lb/>
            liquis.</s>
            <s xml:id="echoid-s1491" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1492" xml:space="preserve">Quando vero propoſitum aurum non est unius Libræ; </s>
            <s xml:id="echoid-s1493" xml:space="preserve">tunc opus
              <lb/>
            erit ratiocinatione proportionis, in qua pro primo termino ponatur
              <lb/>
            vna libra auri propoſitæ qualitatis, pro ſecundo termino, grauitas
              <lb/>
            eidem reſpondens in aqua quam tabula exbibet, pro tertio vero ter-
              <lb/>
            mino collocetur vera grauitas auri propoſiti. </s>
            <s xml:id="echoid-s1494" xml:space="preserve">Quartus enim ter-
              <lb/>
            minus exbibebit grauitatem ipſius auri in aqua. </s>
            <s xml:id="echoid-s1495" xml:space="preserve">Vt ſipropoſitum
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            aurũ ſit trium lib. </s>
            <s xml:id="echoid-s1496" xml:space="preserve">qualitatis vero 18, partium. </s>
            <s xml:id="echoid-s1497" xml:space="preserve">fiat vt lib. </s>
            <s xml:id="echoid-s1498" xml:space="preserve">1. </s>
            <s xml:id="echoid-s1499" xml:space="preserve">ad vne
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            11, Scrup. </s>
            <s xml:id="echoid-s1500" xml:space="preserve">5, Gran. </s>
            <s xml:id="echoid-s1501" xml:space="preserve">3 {963/1767}, ita lib. </s>
            <s xml:id="echoid-s1502" xml:space="preserve">3. </s>
            <s xml:id="echoid-s1503" xml:space="preserve">ad alium numerum, is erit
              <lb/>
            lib. </s>
            <s xml:id="echoid-s1504" xml:space="preserve">2, vnc. </s>
            <s xml:id="echoid-s1505" xml:space="preserve">9, Scrup. </s>
            <s xml:id="echoid-s1506" xml:space="preserve">15, Gran. </s>
            <s xml:id="echoid-s1507" xml:space="preserve">10 {1122/1767}. </s>
            <s xml:id="echoid-s1508" xml:space="preserve">& </s>
            <s xml:id="echoid-s1509" xml:space="preserve">tanta erit grauitas au-
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            ripropoſiti in aqua. </s>
            <s xml:id="echoid-s1510" xml:space="preserve">Et ſic de alijs.</s>
            <s xml:id="echoid-s1511" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1512" xml:space="preserve">Quod vero ad priorem vfum attinet, is perſimilis est præcedenti,
              <lb/>
            & </s>
            <s xml:id="echoid-s1513" xml:space="preserve">æquè facilis quando grauitas auri quam in aere & </s>
            <s xml:id="echoid-s1514" xml:space="preserve">aqua babet, in
              <lb/>
            tabula reperitur precisè. </s>
            <s xml:id="echoid-s1515" xml:space="preserve">Nam ſi proponatur exemp. </s>
            <s xml:id="echoid-s1516" xml:space="preserve">gratia aurum
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            vnius lib. </s>
            <s xml:id="echoid-s1517" xml:space="preserve">babens in aqua grauitatĕ vnc. </s>
            <s xml:id="echoid-s1518" xml:space="preserve">11. </s>
            <s xml:id="echoid-s1519" xml:space="preserve">Scr. </s>
            <s xml:id="echoid-s1520" xml:space="preserve">7, Gra. </s>
            <s xml:id="echoid-s1521" xml:space="preserve">14 {1158/1767},
              <lb/>
            quoniam bæc grauitas reperitur in tabula è regione qualitatis auri
              <lb/>
            22, partium; </s>
            <s xml:id="echoid-s1522" xml:space="preserve">manifeſtum eſt totidem partium eſſe aurũ propoſitum.</s>
            <s xml:id="echoid-s1523" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1524" xml:space="preserve">Quando vero grauitas auri in aere quiaem eſt vnius lib. </s>
            <s xml:id="echoid-s1525" xml:space="preserve">in aqua
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            vero grauitatem babet, quæ in tabula non reperitur, indicium erit
              <lb/>
            aurum propoſitum non eſſe aliquot partium præcisè, ſed annexam
              <lb/>
            babere aliquam fractionem, quæ per partem proportion alem inue-
              <lb/>
            nietur boc modo.</s>
            <s xml:id="echoid-s1526" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1527" xml:space="preserve">Proponatur aurum vnius libræ in aqua babens grauitatem vnc.
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            </s>
            <s xml:id="echoid-s1528" xml:space="preserve">11. </s>
            <s xml:id="echoid-s1529" xml:space="preserve">Scrup. </s>
            <s xml:id="echoid-s1530" xml:space="preserve">6, Gran. </s>
            <s xml:id="echoid-s1531" xml:space="preserve">16 {864/1767}, qualis in tabula non reperitur Gra-
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            uitas enim proxime maior est vnc. </s>
            <s xml:id="echoid-s1532" xml:space="preserve">11. </s>
            <s xml:id="echoid-s1533" xml:space="preserve">Scrup. </s>
            <s xml:id="echoid-s1534" xml:space="preserve">6, Gran. </s>
            <s xml:id="echoid-s1535" xml:space="preserve">23 {1551/1767},
              <lb/>
            reſpondens auro 21, partium, & </s>
            <s xml:id="echoid-s1536" xml:space="preserve">grauitas proxime minor eſt vnc. </s>
            <s xml:id="echoid-s1537" xml:space="preserve">11,
              <lb/>
            Scrup. </s>
            <s xml:id="echoid-s1538" xml:space="preserve">6, Gran. </s>
            <s xml:id="echoid-s1539" xml:space="preserve">9 {177/1767}, earumq; </s>
            <s xml:id="echoid-s1540" xml:space="preserve">differentia eſt Gran. </s>
            <s xml:id="echoid-s1541" xml:space="preserve">14 {1374/1767},
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            quem admodum & </s>
            <s xml:id="echoid-s1542" xml:space="preserve">inter quaſcunque duas alias grauitates </s>
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