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

Page concordance

< >
Scan Original
51
52
53 41
54 42
55 43
56 44
57 45
58 46
59 47
60 48
61 49
62 50
63 51
64 52
65 53
66 54
67 55
68 56
69 57
70 58
71 59
72 60
73 61
74 62
75 63
76 64
77 65
78 66
79 67
80 68
< >
page |< < (13) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div28" type="section" level="1" n="17">
          <p>
            <s xml:id="echoid-s380" xml:space="preserve">
              <pb o="13" file="0025" n="25" rhead="ARCHIMEDES."/>
            dine, magnitudinem liquidi inuenire.</s>
            <s xml:id="echoid-s381" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s382" xml:space="preserve">SINT duo propoſita corpora
              <lb/>
              <figure xlink:label="fig-0025-01" xlink:href="fig-0025-01a" number="11">
                <image file="0025-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0025-01"/>
              </figure>
            æque grauia, A, quidem ſolidum B,
              <lb/>
            vero liquidum, ſit autem ſolidi A, da-
              <lb/>
            ta magnitudo C, & </s>
            <s xml:id="echoid-s383" xml:space="preserve">oporteat inuenire
              <lb/>
            quanta erit magnitudo liquidi B, Ac-
              <lb/>
            cipiatur aliquod corpus ſolidum D,
              <lb/>
            eiuſdem generis cum ſolido A, & </s>
            <s xml:id="echoid-s384" xml:space="preserve">ſit
              <lb/>
            eius grauitas G, & </s>
            <s xml:id="echoid-s385" xml:space="preserve">liquidi, quod ſit E,
              <lb/>
            eiuſdem generis cum liquido B, ma-
              <lb/>
            gnitudinem habentis æqualem ſolido
              <lb/>
            D, inueniatur grauitas quæ ſit H, &</s>
            <s xml:id="echoid-s386" xml:space="preserve">
              <note position="right" xlink:label="note-0025-01" xlink:href="note-0025-01a" xml:space="preserve">8. buius</note>
            fiat vt grauitas H, ad grauitatem G,
              <lb/>
            ita magnitudo C, ad aliam magnitudinem quæ ſit F. </s>
            <s xml:id="echoid-s387" xml:space="preserve">Quoniam igitur
              <lb/>
            ſunt quatuor corpora grauia E, D, B, A, quorum primum E, & </s>
            <s xml:id="echoid-s388" xml:space="preserve">ſecun-
              <lb/>
            dum D, ſunt æqualia magnitudine, tertium vero B, & </s>
            <s xml:id="echoid-s389" xml:space="preserve">quartum A,
              <lb/>
            æque grauia, & </s>
            <s xml:id="echoid-s390" xml:space="preserve">ſunt eiuſdem generis corpora E, B, ſimiliter, & </s>
            <s xml:id="echoid-s391" xml:space="preserve">corpo-
              <lb/>
            ra D, A, erit vt grauitas H, ad grauitatem G, ita magnitudo C, ad
              <note position="right" xlink:label="note-0025-02" xlink:href="note-0025-02a" xml:space="preserve">7. huius</note>
            quidi B, magnitudinem, ſed vt grauitas H, ad grauitatem G, ita eſt
              <lb/>
            magnitudo C, ad magnitudinem F, ergo magnitudo F, æqualis erit
              <lb/>
            magnitudini liquidi B, inuenta igitur eſt liquidi corporis B, magni-
              <lb/>
            tudo F, quod facere oportebat.</s>
            <s xml:id="echoid-s392" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s393" xml:space="preserve">Sed quoniam corporum regularium magnitudo quo-
              <lb/>
            que exprimitur latere eiuſdem corporis, vel diametro, ſi
              <lb/>
            propoſita duo corpora A, B, ſuerint regularia, vtpote ſphę
              <lb/>
            rica, fuerit autem ſphæræ A, data diameter C, & </s>
            <s xml:id="echoid-s394" xml:space="preserve">oporteat
              <lb/>
            inuenire quanta erit diameter ſphæræ B. </s>
            <s xml:id="echoid-s395" xml:space="preserve">ita faciendum
              <lb/>
            erit.</s>
            <s xml:id="echoid-s396" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s397" xml:space="preserve">Accepto, vt diximus, aliquo corpore ſolido D, eiuſdem generis cũ
              <lb/>
            ſphæra A, & </s>
            <s xml:id="echoid-s398" xml:space="preserve">inuenta grauitate liquidi E, vt ſupra, fiat vt grauitas H,
              <lb/>
            ad grauitatem G, ita cubus ex C, ad alium cubum, cuius latus ſit F,
              <lb/>
            dico ipſum latus F, æquale eſſe diametro ſphæræ B. </s>
            <s xml:id="echoid-s399" xml:space="preserve">Quoniam enim
              <lb/>
            eadem ratione qua ſupra demonſtrabitur, vt grauitas H, ad grauita-
              <lb/>
            tem G, ita eſſe magnitudinem ſphæræ A, ad ſphæræ B, magnitudinem,
              <lb/>
            ſed magnitudo ſphæræ A, ad magnitudinem ſphæræ B,
              <note position="right" xlink:label="note-0025-03" xlink:href="note-0025-03a" xml:space="preserve">18. 12.
                <lb/>
              Elem.</note>
            rationem habet eius, quam C, diameter ſphæræ A, ad diametrum
              <lb/>
            ſphæræ B, ſimiliter & </s>
            <s xml:id="echoid-s400" xml:space="preserve">cubus ex C, ad cubum ex diametro ſphæræ </s>
          </p>
        </div>
      </text>
    </echo>
Impressum