Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
31 10
32
33 11
34
35 12
36
37 13
38
39 14
40
41 15
42
43 16
44
45 17
46
47 18
48
49 19
50
51 20
52
53 21
54
55 22
56
57 23
58
59 24
60
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div65" type="section" level="1" n="27">
          <p>
            <s xml:id="echoid-s878" xml:space="preserve">
              <pb file="0042" n="42" rhead="ARCHIMEDIS"/>
            & </s>
            <s xml:id="echoid-s879" xml:space="preserve">ſectionis diameter no: </s>
            <s xml:id="echoid-s880" xml:space="preserve">ſuperſiciei autem humidi ſectio
              <lb/>
            ſit is. </s>
            <s xml:id="echoid-s881" xml:space="preserve">Quoniam igitur axis non eſt ſecundum perpendicu
              <lb/>
            larem; </s>
            <s xml:id="echoid-s882" xml:space="preserve">ipſa no cum is non faciet angulos æquales. </s>
            <s xml:id="echoid-s883" xml:space="preserve">Du-
              <lb/>
            catur k ω contingens ſectionem apol in p; </s>
            <s xml:id="echoid-s884" xml:space="preserve">atque ipſi is
              <lb/>
            æquidiſtans: </s>
            <s xml:id="echoid-s885" xml:space="preserve">per p autem ducatur p f æquidiſtās ipſi n o:
              <lb/>
            </s>
            <s xml:id="echoid-s886" xml:space="preserve">& </s>
            <s xml:id="echoid-s887" xml:space="preserve">ſumantur grauitatum centra: </s>
            <s xml:id="echoid-s888" xml:space="preserve">ſitq; </s>
            <s xml:id="echoid-s889" xml:space="preserve">ipſius a p o l ſolidi
              <lb/>
            centrum r; </s>
            <s xml:id="echoid-s890" xml:space="preserve">eius quod extra humidum ſit b: </s>
            <s xml:id="echoid-s891" xml:space="preserve">& </s>
            <s xml:id="echoid-s892" xml:space="preserve">iuncta br
              <lb/>
            producatur adg,
              <lb/>
              <figure xlink:label="fig-0042-01" xlink:href="fig-0042-01a" number="25">
                <image file="0042-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0042-01"/>
              </figure>
            quodſit centrum
              <lb/>
            grauitatis ſolidi ĩ
              <lb/>
            humido demerſi:
              <lb/>
            </s>
            <s xml:id="echoid-s893" xml:space="preserve">ſumatur præterea
              <lb/>
            r h æ qualis ei, quæ
              <lb/>
            uſque ad axẽ: </s>
            <s xml:id="echoid-s894" xml:space="preserve">o h
              <lb/>
            autem dupla ipſi-
              <lb/>
            us h m; </s>
            <s xml:id="echoid-s895" xml:space="preserve">& </s>
            <s xml:id="echoid-s896" xml:space="preserve">alia fiãt,
              <lb/>
            ſicuti ſuperius di-
              <lb/>
            ctum eſt. </s>
            <s xml:id="echoid-s897" xml:space="preserve">Itaque
              <lb/>
            cum portio ad hu
              <lb/>
            midum in grauita
              <lb/>
            te non maiorem
              <lb/>
            proportionem ha
              <lb/>
            bere ponatur, quã
              <lb/>
            exceſſus, quo quadratum n o excedit quadratum m o, ad
              <lb/>
            ipſum n o quadratum: </s>
            <s xml:id="echoid-s898" xml:space="preserve">& </s>
            <s xml:id="echoid-s899" xml:space="preserve">quam proportionem in grauita
              <lb/>
            te portio habet ad humidum æqualis molis, eandem ha-
              <lb/>
            beat magnitudo portionis demerſa ad totam portio-
              <lb/>
            nem, quod demonſtratum eſt in prima propoſitione: </s>
            <s xml:id="echoid-s900" xml:space="preserve">
              <lb/>
            magnitudo demerſa non maiorem proportionem ha-
              <lb/>
              <note position="left" xlink:label="note-0042-01" xlink:href="note-0042-01a" xml:space="preserve">11. quin-
                <lb/>
              ti.</note>
            bebit ad totam portionem, quàm ſit dicta illa propor-
              <lb/>
            portio. </s>
            <s xml:id="echoid-s901" xml:space="preserve">quare non maiorem proportionem habet tota
              <lb/>
              <note position="left" xlink:label="note-0042-02" xlink:href="note-0042-02a" xml:space="preserve">A</note>
            portio ad eam quæ eſt extra humidum, quàm quadratum
              <lb/>
            no ad quadratum m o. </s>
            <s xml:id="echoid-s902" xml:space="preserve">habet autem tota portio ad eam,
              <lb/>
              <note position="left" xlink:label="note-0042-03" xlink:href="note-0042-03a" xml:space="preserve">B</note>
            quæ extra humidum proportionem eandem, quam </s>
          </p>
        </div>
      </text>
    </echo>