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

Page concordance

< >
Scan Original
71 59
72 60
73 61
74 62
75 63
76 64
77 65
78 66
79 67
80 68
81 69
82 70
83 71
84 72
85
86
87
88
< >
page |< < (68) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div83" type="section" level="1" n="45">
          <pb o="68" file="0080" n="80" rhead="PROMOTVS"/>
          <p style="it">
            <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-
              <lb/>
            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
              <lb/>
            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
              <lb/>
            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-
              <lb/>
            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
              <lb/>
            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
              <lb/>
            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.
              <lb/>
            </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-
              <lb/>
            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},
              <lb/>
            quem admodum & </s>
            <s xml:id="echoid-s1542" xml:space="preserve">inter quaſcunque duas alias grauitates </s>
          </p>
        </div>
      </text>
    </echo>
Impressum