Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
[11.] PROPOSITIO IIII.
[12.] PROPOSITIO V.
[13.] PROPOSITIO VI.
[14.] PROPOSITIO VII.
[15.] POSITIO II.
[16.] COMMENTARIVS.
[17.] PROPOSITIO VIII.
[18.] COMMENTARIVS.
[19.] PROPOSITIO IX.
[20.] COMMENTARIVS.
[21.] ARCHIMEDIS DE IIS QVAE VEHVNTVR IN AQVA LIBER SECVNDVS. CVM COMMENTARIIS FEDERICI COMMANDINI VRBINATIS. PROPOSITIO I.
[22.] PROPOSITIO II.
[23.] COMMENTARIVS.
[24.] PROPOSITIO III.
[25.] PROPOSITIO IIII.
[26.] COMMENTARIVS.
[27.] PROPOSITIO V.
[28.] COMMENTARIVS.
[29.] PROPOSITIO VI.
[30.] COMMENTARIVS.
[31.] LEMMAI.
[32.] LEMMA II.
[33.] LEMMA III.
[34.] LEMMA IIII.
[35.] PROPOSITIO VII.
[36.] PROPOSITIO VIII.
[37.] COMMENTARIVS.
[38.] PROPOSITIO IX.
[39.] COMMENTARIVS.
[40.] PROPOSITIO X.
< >
page |< < (41) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div173" type="section" level="1" n="54">
          <p>
            <s xml:id="echoid-s2437" xml:space="preserve">
              <pb o="41" file="0093" n="93" rhead="DE IIS QVAE VEH. IN AQVA."/>
            ſtrabitur portionem, quæ ad humidum in grauitate eandẽ
              <lb/>
            proportionem habeat, quàm quadratum p f ad quadratũ
              <lb/>
            b d in humidum demiſſam, ita ut baſis ipſius nõ cõtingat
              <lb/>
            humidum, inclinatam conſiſtere adeo, ut baſis in uno pun
              <lb/>
            cto humidi ſuperficiem contingat. </s>
            <s xml:id="echoid-s2438" xml:space="preserve">& </s>
            <s xml:id="echoid-s2439" xml:space="preserve">axis cum ipſa faciat
              <lb/>
            angulum angulo φ æqualem.</s>
            <s xml:id="echoid-s2440" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div175" type="section" level="1" n="55">
          <head xml:id="echoid-head60" xml:space="preserve">COMMENTARIVS.</head>
          <p style="it">
            <s xml:id="echoid-s2441" xml:space="preserve">_Hoc eſt quadratum t p ad quadratum b d.</s>
            <s xml:id="echoid-s2442" xml:space="preserve">]_ Ex uigeſima
              <lb/>
              <note position="right" xlink:label="note-0093-01" xlink:href="note-0093-01a" xml:space="preserve">A</note>
            ſexta libri Archimedis de conoidibus, & </s>
            <s xml:id="echoid-s2443" xml:space="preserve">ſphæroidibus. </s>
            <s xml:id="echoid-s2444" xml:space="preserve">ergo ex no
              <lb/>
            na quinti erit quadratum t p æquale quadrato x o: </s>
            <s xml:id="echoid-s2445" xml:space="preserve">& </s>
            <s xml:id="echoid-s2446" xml:space="preserve">propterea li
              <lb/>
            nea t p lineæ x o æqualis.</s>
            <s xml:id="echoid-s2447" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2448" xml:space="preserve">_Et portiones ipſæ æquales erunt.</s>
            <s xml:id="echoid-s2449" xml:space="preserve">]_ Ex uigeſimaquinta eiuſ-
              <lb/>
              <note position="right" xlink:label="note-0093-02" xlink:href="note-0093-02a" xml:space="preserve">B</note>
            dem libri.</s>
            <s xml:id="echoid-s2450" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2451" xml:space="preserve">Rurſus
              <lb/>
              <note position="right" xlink:label="note-0093-03" xlink:href="note-0093-03a" xml:space="preserve">C</note>
              <figure xlink:label="fig-0093-01" xlink:href="fig-0093-01a" number="59">
                <image file="0093-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0093-01"/>
              </figure>
            quoniam
              <lb/>
            in portio
              <lb/>
            nibus æ-
              <lb/>
            qualibus,
              <lb/>
            & </s>
            <s xml:id="echoid-s2452" xml:space="preserve">ſimili-
              <lb/>
            bus a o q
              <lb/>
            l, a p m l.</s>
            <s xml:id="echoid-s2453" xml:space="preserve">]
              <lb/>
            _In portio-_
              <lb/>
            _ne enim a p_
              <lb/>
            _m l deſcri-_
              <lb/>
            _batur por-_
              <lb/>
            _tio a o q æ-_
              <lb/>
            _qualis por_
              <lb/>
            _tioni i p m_,
              <lb/>
            _cadet pun-_
              <lb/>
            _ctum q in-_
              <lb/>
            _fram, alio-_
              <lb/>
            _qui totum parti eſſet æquale. </s>
            <s xml:id="echoid-s2454" xml:space="preserve">Ducatur deinde i u æquidiſtans a </s>
          </p>
        </div>
      </text>
    </echo>