Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
131 10
132
133 11
134
135 12
136
137 13
138
139 14
140
141 15
142
143 15
144 16
145 17
146
147 18
148
149 19
150
151 20
152
153 21
154
155 22
156
157 23
158
159 24
160
< >
page |< < of 213 > >|
ARCHIMEDIS
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div type="section" level="1" n="39">
          <p>
            <s 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:space="preserve">quare per conuer-_
              <lb/>
            _ſionem rationis tota portio ad eam, quæ extra humidum est ut_
              <lb/>
            _qu.</s>
            <s xml:space="preserve">idratum b d ad quadratum f q: </s>
            <s 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:space="preserve"/>
          </p>
          <div type="float" level="2" n="4">
            <note position="right" xlink:label="note-0067-08" xlink:href="note-0067-08a" xml:space="preserve">E</note>
          </div>
          <p style="it">
            <s xml:space="preserve">_Quoniam quæ ex parte 1 deorſum, quæ uero ex parte a_
              <lb/>
              <anchor type="note" xlink:label="note-0068-01a" xlink:href="note-0068-01"/>
            _ſurſum ferentur.</s>
            <s 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:space="preserve">quæ
              <lb/>
            per g ad partes a cadit. </s>
            <s xml:space="preserve">quare centrum z unà cum p. </s>
            <s 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:space="preserve"/>
          </p>
          <div type="float" level="2" n="5">
            <note position="left" xlink:label="note-0068-01" xlink:href="note-0068-01a" xml:space="preserve">F</note>
          </div>
          <p>
            <s xml:space="preserve">Similiter demonſtrabitur non manere portionem, ſed
              <lb/>
              <anchor type="note" xlink:label="note-0068-02a" xlink:href="note-0068-02"/>
            inclinari, donec utique axis cum ſuperficie humidi faciat
              <lb/>
            angulum angulo b æqualem.</s>
            <s 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:space="preserve"/>
          </p>
          <div type="float" level="2" n="6">
            <note position="left" xlink:label="note-0068-02" xlink:href="note-0068-02a" xml:space="preserve">G</note>
          </div>
        </div>
        <div type="section" level="1" n="40">
          <head xml:space="preserve">PROPOSITIO X.</head>
          <p>
            <s 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:space="preserve">in humidum
              <lb/>
            demiſſa, ita ut baſis ipſius non contingat humi-
              <lb/>
            dum: </s>
            <s xml:space="preserve">non nunquam quidem recta conſiſtet; </s>
            <s xml:space="preserve">non
              <lb/>
              <anchor type="note" xlink:label="note-0068-03a" xlink:href="note-0068-03"/>
            nunquam inclinata: </s>
            <s xml:space="preserve">& </s>
            <s xml:space="preserve">interdum adeo inclinata,
              <lb/>
              <anchor type="note" xlink:label="note-0068-04a" xlink:href="note-0068-04"/>
            ut baſis ipſius in uno puncto contingat ſuperfi-
              <lb/>
            ciem humidi: </s>
            <s xml:space="preserve">idq; </s>
            <s xml:space="preserve">in duabus diſpoſitionibus:</s>
            <s xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>