Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Table of contents

< >
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div113" type="section" level="1" n="39">
          <p>
            <s xml:id="echoid-s1646" xml:space="preserve">
              <pb file="0068" n="68" rhead="ARCHIMEDIS"/>
            _erit conuertendo tota portio ad partem ipſius demerſam, ut quadrd-_
              <lb/>
            _tum b d ad exceſſum, quo quadratum f q excedit. </s>
            <s xml:id="echoid-s1647" xml:space="preserve">quare per conuer-_
              <lb/>
            _ſionem rationis tota portio ad eam, quæ extra humidum est ut_
              <lb/>
            _qu.</s>
            <s xml:id="echoid-s1648" xml:space="preserve">idratum b d ad quadratum f q: </s>
            <s xml:id="echoid-s1649" xml:space="preserve">nam quadratum b d tanto maius_
              <lb/>
            _est exceſſu, quo excedit quadratum f q, quantum est ipſum f q qua-_
              <lb/>
            _dratum_.</s>
            <s xml:id="echoid-s1650" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s1651" xml:space="preserve">_Quoniam quæ ex parte 1 deorſum, quæ uero ex parte a_
              <lb/>
              <note position="left" xlink:label="note-0068-01" xlink:href="note-0068-01a" xml:space="preserve">F</note>
            _ſurſum ferentur.</s>
            <s xml:id="echoid-s1652" xml:space="preserve">]_ Hæc nos ita correximus, nam in translatione
              <lb/>
            mendoſe, ut opinor, legebatur, quoniam quæ ex parte l ad ſuperiora
              <lb/>
            ferentur, perpendicularis enim quæ tranſit per z ad partes l, & </s>
            <s xml:id="echoid-s1653" xml:space="preserve">quæ
              <lb/>
            per g ad partes a cadit. </s>
            <s xml:id="echoid-s1654" xml:space="preserve">quare centrum z unà cum p. </s>
            <s xml:id="echoid-s1655" xml:space="preserve">trtibus ijs, quæ
              <lb/>
            ſunt ad l deorſum feretur, centrum uero g unà cum partibus quæ ad
              <lb/>
            a ſurſum.</s>
            <s xml:id="echoid-s1656" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1657" xml:space="preserve">Similiter demonſtrabitur non manere portionem, ſed
              <lb/>
              <note position="left" xlink:label="note-0068-02" xlink:href="note-0068-02a" xml:space="preserve">G</note>
            inclinari, donec utique axis cum ſuperficie humidi faciat
              <lb/>
            angulum angulo b æqualem.</s>
            <s xml:id="echoid-s1658" xml:space="preserve">] _Illud uero tum ex ijs, quæ in an_
              <lb/>
            _tecedenti dicta ſunt, tum ex figuris, quas appoſuimus, facile demon-_
              <lb/>
            _strari potest._</s>
            <s xml:id="echoid-s1659" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div120" type="section" level="1" n="40">
          <head xml:id="echoid-head45" xml:space="preserve">PROPOSITIO X.</head>
          <p>
            <s xml:id="echoid-s1660" xml:space="preserve">
              <emph style="sc">Recta</emph>
            portio conoidis rectanguli, quando
              <lb/>
            leuior humido axem habuerit maiorem, quàm
              <lb/>
            ut ad eam, quæ uſque ad axem proportionem ha-
              <lb/>
            beat, quam quindecim ad quatuor: </s>
            <s xml:id="echoid-s1661" xml:space="preserve">in humidum
              <lb/>
            demiſſa, ita ut baſis ipſius non contingat humi-
              <lb/>
            dum: </s>
            <s xml:id="echoid-s1662" xml:space="preserve">non nunquam quidem recta conſiſtet; </s>
            <s xml:id="echoid-s1663" xml:space="preserve">non
              <lb/>
              <note position="left" xlink:label="note-0068-03" xlink:href="note-0068-03a" xml:space="preserve">A</note>
            nunquam inclinata: </s>
            <s xml:id="echoid-s1664" xml:space="preserve">& </s>
            <s xml:id="echoid-s1665" xml:space="preserve">interdum adeo inclinata,
              <lb/>
              <note position="left" xlink:label="note-0068-04" xlink:href="note-0068-04a" xml:space="preserve">B</note>
            ut baſis ipſius in uno puncto contingat ſuperfi-
              <lb/>
            ciem humidi: </s>
            <s xml:id="echoid-s1666" xml:space="preserve">idq; </s>
            <s xml:id="echoid-s1667" xml:space="preserve">in duabus diſpoſitionibus:</s>
            <s xml:id="echoid-s1668" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum