Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
11
12
13 1
14
15 2
16
17 3
18
19 4
20
21 5
22
23 6
24
25 7
26
27 8
28
29 9
30
31 10
32
33 11
34
35 12
36
37 13
38
39 14
40
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div20" type="section" level="1" n="14">
          <p>
            <s xml:id="echoid-s327" xml:space="preserve">
              <pb file="0022" n="22" rhead="ARCHIMEDIS"/>
            cuius grauitas ſitipſi b æqualis: </s>
            <s xml:id="echoid-s328" xml:space="preserve">humidi ucro molem ha-
              <lb/>
            bentis æqualem magnitudini d, ſit grauitas æqualis b c.
              <lb/>
            </s>
            <s xml:id="echoid-s329" xml:space="preserve">Itaque compoſitis magnitudinibus a d, magnitudo ex
              <lb/>
            utriſque conſtans æque grauis erit, atque ipſum humidũ: </s>
            <s xml:id="echoid-s330" xml:space="preserve">
              <lb/>
            grauitas enim utrarũque magnitudinum eſt æqualis utriſ-
              <lb/>
            que grauitatibus, uidelicet b c, & </s>
            <s xml:id="echoid-s331" xml:space="preserve">b: </s>
            <s xml:id="echoid-s332" xml:space="preserve">grauitas autem humi
              <lb/>
            di habentis molem æqualem utriſque magnitudinibus, eſt
              <lb/>
            eiſdem grauitatibus æqualis. </s>
            <s xml:id="echoid-s333" xml:space="preserve">Demisſis igitur magnitudini
              <lb/>
            bus, & </s>
            <s xml:id="echoid-s334" xml:space="preserve">in humidum proiectis æque graues erunt, atque hu
              <lb/>
            midum: </s>
            <s xml:id="echoid-s335" xml:space="preserve">neque ſurſum, neque deorſum ferentur: </s>
            <s xml:id="echoid-s336" xml:space="preserve">quoniam
              <lb/>
            magnitudo quidem a
              <lb/>
              <figure xlink:label="fig-0022-01" xlink:href="fig-0022-01a" number="11">
                <image file="0022-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0022-01"/>
              </figure>
            grauior humido feretur
              <lb/>
            deorſum; </s>
            <s xml:id="echoid-s337" xml:space="preserve">& </s>
            <s xml:id="echoid-s338" xml:space="preserve">eadem ui à
              <lb/>
            magnitudine d ſurſum
              <lb/>
            retrahetur: </s>
            <s xml:id="echoid-s339" xml:space="preserve">magnitudo
              <lb/>
            autem d humido leuior
              <lb/>
            feretur ſurſum tanta ui,
              <lb/>
            quanta eſt grauitas c:
              <lb/>
            </s>
            <s xml:id="echoid-s340" xml:space="preserve">demõſtratũ enim eſt ma
              <lb/>
              <note position="left" xlink:label="note-0022-01" xlink:href="note-0022-01a" xml:space="preserve">6. huius.</note>
            gnitudines ſolidas hu-
              <lb/>
            mido leuiores, impulſas
              <lb/>
            in humidum tanta uiretrahi ſurſum, quanto humidum ha
              <lb/>
            bens molem magnitudini æqualem grauius eſt ipſa magni
              <lb/>
            tudine. </s>
            <s xml:id="echoid-s341" xml:space="preserve">Athumidum molem habens æqualem d, grauius
              <lb/>
            eſt, quam d, ipſa c grauitate. </s>
            <s xml:id="echoid-s342" xml:space="preserve">Conſtatigitur magnitudinem
              <lb/>
            a deorſum ferri tanta grauitate, quanta eſt c. </s>
            <s xml:id="echoid-s343" xml:space="preserve">quod de-
              <lb/>
            monſtrare oportebat.</s>
            <s xml:id="echoid-s344" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div22" type="section" level="1" n="15">
          <head xml:id="echoid-head18" xml:space="preserve">POSITIO II.</head>
          <p>
            <s xml:id="echoid-s345" xml:space="preserve">
              <emph style="sc">Ponatvr</emph>
            eorum, quæ in humido ſurſum
              <lb/>
            feruntur, vnumquodque ſurſum ferri ſecundum
              <lb/>
            perpendicularem, quæ per centrum grauitatis ip
              <lb/>
            ſorum ducitur.</s>
            <s xml:id="echoid-s346" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum