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

Page concordance

< >
Scan Original
31 19
32 20
33 21
34 22
35 23
36 24
37 25
38 26
39 27
40 28
41 29
42 30
43 31
44 32
45 33
46 34
47 35
48 36
49 37
50
51
52
53 41
54 42
55 43
56 44
57 45
58 46
59 47
60 48
< >
page |< < (26) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div47" type="section" level="1" n="27">
          <p>
            <s xml:id="echoid-s667" xml:space="preserve">
              <pb o="26" file="0038" n="38" rhead="PROMOTVS"/>
              <note position="left" xlink:label="note-0038-01" xlink:href="note-0038-01a" xml:space="preserve">7. buius</note>
            cundum & </s>
            <s xml:id="echoid-s668" xml:space="preserve">quartum, Erit vt grauitas E, ad grauitatem D, ita ma- gnitudo G, ad liquidi B, magnitudinem, ſed vt grauitas E, ad graui-
              <lb/>
            tatem D, ita eſt magnitudo G, ad F, magnitudinem; </s>
            <s xml:id="echoid-s669" xml:space="preserve">ergo magnitudo
              <lb/>
            F, æqualis erit magnitudini liquidi B. </s>
            <s xml:id="echoid-s670" xml:space="preserve">inuenta igitur eſt corporis li-
              <lb/>
            quidi B, magnitudo F, quod facere oportebat.</s>
            <s xml:id="echoid-s671" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s672" xml:space="preserve">Quod ſi propoſita duo corpora æque grauia fuerint
              <lb/>
            regularia, vtpote ſphærica, fuerit autem ſphęræ A, data
              <lb/>
            diameter G, & </s>
            <s xml:id="echoid-s673" xml:space="preserve">oporteat inuenire, quanta erit diameter
              <lb/>
            ſphæræ B, ita faciendum erit.</s>
            <s xml:id="echoid-s674" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s675" xml:space="preserve">ACCEPTO aliquo cor
              <lb/>
              <figure xlink:label="fig-0038-01" xlink:href="fig-0038-01a" number="17">
                <image file="0038-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0038-01"/>
              </figure>
            pore ſolido C, & </s>
            <s xml:id="echoid-s676" xml:space="preserve">inuentis
              <lb/>
            grauitatibus D, E, liquidorũ
              <lb/>
            H, I, vt ſupra, fiat vt grauitas
              <lb/>
            E, ad grauitatem D, ita cu-
              <lb/>
            bus ex G, ad alium cubum,
              <lb/>
            cuius latus ſit F. </s>
            <s xml:id="echoid-s677" xml:space="preserve">Quoniam
              <lb/>
            igitur eadem ratione, qua
              <lb/>
            ſupra oſtendetur, vt grauitas
              <lb/>
            E, ad grauitatem D, ita eſſe
              <lb/>
            magnitudinem ſphæræ A, ad
              <lb/>
            ſphæræ B, magnitudinem, ſed
              <lb/>
            magnitudo ſphæræ A, ad
              <lb/>
              <note position="left" xlink:label="note-0038-02" xlink:href="note-0038-02a" xml:space="preserve">18. 12.
                <lb/>
              Elem.</note>
            ſphæræ B, magnitudinem, triplicatã rationem habet eius, quam G, diameter ſphæræ A, ad dia-
              <lb/>
            metrum ſphæræ B, ſimiliter & </s>
            <s xml:id="echoid-s678" xml:space="preserve">cubus ex G, ad cubum diametri ſphæ-
              <lb/>
              <note position="left" xlink:label="note-0038-03" xlink:href="note-0038-03a" xml:space="preserve">33. 11.
                <lb/>
              Elem.</note>
            ræ B, triplicatam rationem habet eius, quam G, ad ſphæræ B, dia- metrum; </s>
            <s xml:id="echoid-s679" xml:space="preserve">ergo vt grauitas E, ad grauitatem D, ita erit cubus ex G, ad
              <lb/>
            cubum diametri ſphæræ B, ſed vt grauitas D, ita grauitatem D, ita
              <lb/>
            eſt cubus ex G, ad cubum ex F; </s>
            <s xml:id="echoid-s680" xml:space="preserve">ergo cubus ex F, æqualis erit cubo
              <lb/>
            diametri ſphæræ B; </s>
            <s xml:id="echoid-s681" xml:space="preserve">quare & </s>
            <s xml:id="echoid-s682" xml:space="preserve">latus F, æquabitur diametro ipſius ſphæ
              <lb/>
            ræ B. </s>
            <s xml:id="echoid-s683" xml:space="preserve">inuenta igitur eſt quantitas diametri ſphæræ B, quod facere
              <lb/>
            oportebat.</s>
            <s xml:id="echoid-s684" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div50" type="section" level="1" n="28">
          <head xml:id="echoid-head31" xml:space="preserve">Exemplum.</head>
          <p>
            <s xml:id="echoid-s685" xml:space="preserve">QVidam proponit aliquod corpus liquidum notæ
              <lb/>
            magnitudinis, & </s>
            <s xml:id="echoid-s686" xml:space="preserve">vult inuenire, quanta erit ma-
              <lb/>
            gnitudo liquidi alterius generis, </s>
          </p>
        </div>
      </text>
    </echo>
Impressum