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

Page concordance

< >
Scan Original
1
2
3
4
5
6
7
8
9
10
11
12
13 1
14 2
15 3
16 4
17 5
18 6
19 7
20 8
21 9
22 10
23 11
24 12
25 13
26 14
27 15
28 16
29 17
30 18
< >
page |< < (5) of 89 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div13" type="section" level="1" n="9">
          <p>
            <s xml:id="echoid-s201" xml:space="preserve">
              <pb o="5" file="0017" n="17" rhead="ARCHIMEDES."/>
            pora A, B, eiuſdem ſunt generis,
              <lb/>
              <figure xlink:label="fig-0017-01" xlink:href="fig-0017-01a" number="6">
                <image file="0017-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0017-01"/>
              </figure>
            ſimiliter, & </s>
            <s xml:id="echoid-s202" xml:space="preserve">corpora C, D, erit vt A, ad B, ita E, ad F, & </s>
            <s xml:id="echoid-s203" xml:space="preserve">vt C, ad D, ita G, ad H. </s>
            <s xml:id="echoid-s204" xml:space="preserve">Sed poni-
              <lb/>
            tur vt A, ad B, ita eſſe C, ad D,
              <lb/>
            ergo vt E, ad F, ita erit G, ad
              <lb/>
            H. </s>
            <s xml:id="echoid-s205" xml:space="preserve">Si igitur quatuor corporum
              <lb/>
            grauium, primum ad ſecundum
              <lb/>
            eandem in magnitudine ratio-
              <lb/>
            nem habeat: </s>
            <s xml:id="echoid-s206" xml:space="preserve">etcæt. </s>
            <s xml:id="echoid-s207" xml:space="preserve">quod demon-
              <lb/>
            ſtrare oportebat.</s>
            <s xml:id="echoid-s208" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div15" type="section" level="1" n="10">
          <head xml:id="echoid-head13" xml:space="preserve">THEOREMA V. PROPOS. V.</head>
          <p>
            <s xml:id="echoid-s209" xml:space="preserve">SOlida corpora liquido grauiora demiſſa in liquidum
              <lb/>
            ferentur deorſum, donec deſcendant, & </s>
            <s xml:id="echoid-s210" xml:space="preserve">erunt in li-
              <lb/>
            quido tanto leuiora, quanta eſt grauitas liquidi magni-
              <lb/>
            tudinem habentis ſolido corpori æqualem.</s>
            <s xml:id="echoid-s211" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s212" xml:space="preserve">HOC autem demonſtratum eſt ab Archimede propoſ. </s>
            <s xml:id="echoid-s213" xml:space="preserve">7. </s>
            <s xml:id="echoid-s214" xml:space="preserve">primi li-
              <lb/>
            bri de ijs, quæ vehuntur in aqua.</s>
            <s xml:id="echoid-s215" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div16" type="section" level="1" n="11">
          <head xml:id="echoid-head14" xml:space="preserve">THEOREMA VI. PROPOS. VI.</head>
          <p>
            <s xml:id="echoid-s216" xml:space="preserve">SI quatuor grauium corporum primum, & </s>
            <s xml:id="echoid-s217" xml:space="preserve">ſecundum
              <lb/>
            fuerint magnitudine æqualia, tertium vero, & </s>
            <s xml:id="echoid-s218" xml:space="preserve">quar-
              <lb/>
            tum æque grauia, fuerint autem primum, & </s>
            <s xml:id="echoid-s219" xml:space="preserve">tertium
              <lb/>
            eiuſdem generis, itidem ſecundum, & </s>
            <s xml:id="echoid-s220" xml:space="preserve">quartum; </s>
            <s xml:id="echoid-s221" xml:space="preserve">erit, vt
              <lb/>
            grauitas corporis primi, ad grauitatem ſecundi, ita gra-
              <lb/>
            uitas liquidi æqualis magnitudine corpori quarto, ad gra
              <lb/>
            uitatem liquidi tertio corpori æqualis.</s>
            <s xml:id="echoid-s222" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s223" xml:space="preserve">SINT quatuor corpora A, B, C, D, quorum A, primum, & </s>
            <s xml:id="echoid-s224" xml:space="preserve">B, ſe-
              <lb/>
            cundum ſint magnitudine æqualia, tertium vero C, & </s>
            <s xml:id="echoid-s225" xml:space="preserve">D, quartum,
              <lb/>
            æque grauia, ſint autem A, & </s>
            <s xml:id="echoid-s226" xml:space="preserve">C, eiuſdem generis, itidem B, & </s>
            <s xml:id="echoid-s227" xml:space="preserve">D. </s>
            <s xml:id="echoid-s228" xml:space="preserve">Di-
              <lb/>
            co vt grauitas corporis A, ad grauitatem corporis B, ita eſſe grauita-
              <lb/>
            tem liquidi æqualis magnitudine corpori D, ad grauitatem liquidi
              <lb/>
            magnitudine corpori C, æqualis. </s>
            <s xml:id="echoid-s229" xml:space="preserve">Accipiantur enim tria eiuſdem </s>
          </p>
        </div>
      </text>
    </echo>
Impressum