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

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          <pb o="70" file="0082" n="82" rhead="PROMOTVS"/>
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        <div xml:id="echoid-div88" type="section" level="1" n="46">
          <head xml:id="echoid-head49" xml:space="preserve">Compoſitio eiuſdem tabulæ.</head>
          <p style="it">
            <s xml:id="echoid-s1576" xml:space="preserve">Si ea quæ bactenus ſunt dictarectè intelligantur liquido appare-
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            bit compoſitionem tabulæ in eo conſistere, vt inueniatur grauitas
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            quam aurum cuiuſuis qualitatis babet in aqua, boc eſt ſi intelligan-
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            tur propoſitæ plures maſſæ auri, ſingulæ ſingularum librarum, & </s>
            <s xml:id="echoid-s1577" xml:space="preserve">
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            alia ſit qualitatis 24, partium alia 23, alia 22, & </s>
            <s xml:id="echoid-s1578" xml:space="preserve">c. </s>
            <s xml:id="echoid-s1579" xml:space="preserve">quanta ſit gra-
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            uitas vniuſcuiuſque in aqua, id quod boc extremo loco inuestig are.
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            </s>
            <s xml:id="echoid-s1580" xml:space="preserve">docebimus.</s>
            <s xml:id="echoid-s1581" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1582" xml:space="preserve">Et primum ſit propoſitum aurum purum, ſeu 24, partium. </s>
            <s xml:id="echoid-s1583" xml:space="preserve">quo-
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            niam igitur grauitas auri in aere, ad grauitatem eiuſdem in aqua
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            ſe babet vt 19, ad 18, fiat vt 19, ad 18, ita lib. </s>
            <s xml:id="echoid-s1584" xml:space="preserve">1, auri puri ad aliam
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            grauitatem nempe lib. </s>
            <s xml:id="echoid-s1585" xml:space="preserve">{18/19}, quæ grauitas ad vncias, ſcrupula, & </s>
            <s xml:id="echoid-s1586" xml:space="preserve">
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            grana reuocata valet vnc. </s>
            <s xml:id="echoid-s1587" xml:space="preserve">11, Scrup. </s>
            <s xml:id="echoid-s1588" xml:space="preserve">8. </s>
            <s xml:id="echoid-s1589" xml:space="preserve">Gran. </s>
            <s xml:id="echoid-s1590" xml:space="preserve">20 {4/19}, atque bæc est
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            grauitas auri puri in aqua, quam in tabula è regione denominatoris
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            24, poſuimus; </s>
            <s xml:id="echoid-s1591" xml:space="preserve">fractione excepta cuius loco ſubſtituta est fractio
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            {372/1767}, propter cauſam ſuperius allatam.</s>
            <s xml:id="echoid-s1592" xml:space="preserve"/>
          </p>
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            <s xml:id="echoid-s1593" xml:space="preserve">Sit deinde propoſitum quod vis aliud corpus aureum vnius libræ,
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            ſitque exemp. </s>
            <s xml:id="echoid-s1594" xml:space="preserve">gratia illud aurum 20, partium, patet igitur ex defi-
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            nitione qualitatis, ex 24, ſemiuncijs totius grauitatis, 20, ſemiuncias
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            eſſe auri puri, duas argenti, & </s>
            <s xml:id="echoid-s1595" xml:space="preserve">reliquas duas æris & </s>
            <s xml:id="echoid-s1596" xml:space="preserve">quoniam gra-
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            uitas misti in aere, ad grauitatem eiuſdem in aqua rationem babet
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            vt 279, ad 250, vt ex iam dictis patet, fiat vt 279, ad 250, ita qua-
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            tuor ſemiunciæ, vel potius 2, vnciæ misti quod componit qualitatem
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            auri 20, partium, paulo ante propoſitam ad alias vncias. </s>
            <s xml:id="echoid-s1597" xml:space="preserve">inuenien-
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            tur enim pro grauitate illius miſti in aqua vnc. </s>
            <s xml:id="echoid-s1598" xml:space="preserve">1 {221/279}. </s>
            <s xml:id="echoid-s1599" xml:space="preserve">Est autem
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            grauitas auri puri 20, ſemiunciarum vel 10, vnciarum in aqua vnc.
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            </s>
            <s xml:id="echoid-s1600" xml:space="preserve">9 {9/19}, eo quod ita ſe babeant 10, ad 9 {9/19}, vt 19, ad 18, Quare ſi bæ
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            duæ grauitates inuentæ collig antur in vnam ſummam, inueniemus
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            totam maſſam auri propoſitam, cuius grauitas in aere ponebatur lib. </s>
            <s xml:id="echoid-s1601" xml:space="preserve">
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            1, in aqua babere grauitatem vnc. </s>
            <s xml:id="echoid-s1602" xml:space="preserve">11 {1409/5301}. </s>
            <s xml:id="echoid-s1603" xml:space="preserve">& </s>
            <s xml:id="echoid-s1604" xml:space="preserve">facta reductione
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            fractionis ad ſcrupula, & </s>
            <s xml:id="echoid-s1605" xml:space="preserve">grana, vnc. </s>
            <s xml:id="echoid-s1606" xml:space="preserve">11, Scrup. </s>
            <s xml:id="echoid-s1607" xml:space="preserve">6. </s>
            <s xml:id="echoid-s1608" xml:space="preserve">Gran. </s>
            <s xml:id="echoid-s1609" xml:space="preserve">9 {177/1767},
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            vt videre eſt in tabula è regione denominatoris 20, partium. </s>
            <s xml:id="echoid-s1610" xml:space="preserve">Atqus
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            eodem modo deprebendentur grauitates auri in aqua quarumcunq; </s>
            <s xml:id="echoid-s1611" xml:space="preserve">
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            aliarum qualitatum.</s>
            <s xml:id="echoid-s1612" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1613" xml:space="preserve">Quia vero permolestum videri poſſet omnes grauitates totius
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            tabulæ bac via eruere; </s>
            <s xml:id="echoid-s1614" xml:space="preserve">obſeruari quidem poterit prædicta Metbodus
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            quando ſeorſim inuestiganda fuerit alicuius auri grauitas in aqua,
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            in cõpoſitione vero tabulæ ſic fortaſſis cõpendioſius quis proceſſerit.</s>
            <s xml:id="echoid-s1615" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1616" xml:space="preserve">Equidem, cum buius tabulæ conſtructionem diligentius </s>
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