Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
191 40
192
193 41
194
195 42
196
197 43
198
199 44
200
201 45
202
203 46
204
205 47
206
207
208
209
210
211
212
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div91" type="section" level="1" n="36">
          <p>
            <s xml:id="echoid-s1341" xml:space="preserve">
              <pb file="0058" n="58" rhead="ARCHIMEDIS"/>
            & </s>
            <s xml:id="echoid-s1342" xml:space="preserve">quam proportionem habet quadratum e ψ ad quadra-
              <lb/>
              <note position="left" xlink:label="note-0058-01" xlink:href="note-0058-01a" xml:space="preserve">G</note>
            tum ψ b, eandem habet dimidium lineæ _k_ r ad lineã ψ b.
              <lb/>
            </s>
            <s xml:id="echoid-s1343" xml:space="preserve">quare maiorem babet proportionem _k_ r ad i y, quàm di-
              <lb/>
              <note position="left" xlink:label="note-0058-02" xlink:href="note-0058-02a" xml:space="preserve">13. quin-
                <lb/>
              ti.</note>
            midium k r ad ψ b: </s>
            <s xml:id="echoid-s1344" xml:space="preserve">& </s>
            <s xml:id="echoid-s1345" xml:space="preserve">idcirco i y minor eſt, quàm dupla
              <lb/>
              <note position="left" xlink:label="note-0058-03" xlink:href="note-0058-03a" xml:space="preserve">H</note>
            ψ b. </s>
            <s xml:id="echoid-s1346" xml:space="preserve">eſt autem ipſius o i dupla. </s>
            <s xml:id="echoid-s1347" xml:space="preserve">ergo o i minor eſt, quàm
              <lb/>
            ψ b: </s>
            <s xml:id="echoid-s1348" xml:space="preserve">& </s>
            <s xml:id="echoid-s1349" xml:space="preserve">i ω maior, quàm ψ r. </s>
            <s xml:id="echoid-s1350" xml:space="preserve">ſed ψ r eſt æqualis ipſi f. </s>
            <s xml:id="echoid-s1351" xml:space="preserve">maior
              <lb/>
              <note position="left" xlink:label="note-0058-04" xlink:href="note-0058-04a" xml:space="preserve">K</note>
            igitur eſt i ω, quàm f. </s>
            <s xml:id="echoid-s1352" xml:space="preserve">& </s>
            <s xml:id="echoid-s1353" xml:space="preserve">quoniam portio ad humidum in
              <lb/>
            grauitate eam ponitur habere proportionem, quam qua-
              <lb/>
            dratum f q ad quadratum b d: </s>
            <s xml:id="echoid-s1354" xml:space="preserve">quam uero proportionem
              <lb/>
            habet portio ad humidum in grauitate, eam habet pars ip
              <lb/>
            ſius demerſa ad totam portionem: </s>
            <s xml:id="echoid-s1355" xml:space="preserve">& </s>
            <s xml:id="echoid-s1356" xml:space="preserve">quam pars ipſius de-
              <lb/>
            merſa habet ad totam, eandem habet quadratum p m ad
              <lb/>
            quadratnm o n: </s>
            <s xml:id="echoid-s1357" xml:space="preserve">ſequitur quadratum p m ad quadratum
              <lb/>
            o n eam proportionem habere, quam quadratum f q ad
              <lb/>
            b d quadratum.
              <lb/>
            </s>
            <s xml:id="echoid-s1358" xml:space="preserve">
              <figure xlink:label="fig-0058-01" xlink:href="fig-0058-01a" number="37">
                <image file="0058-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0058-01"/>
              </figure>
            atque ideo ſ q æ-
              <lb/>
              <note position="left" xlink:label="note-0058-05" xlink:href="note-0058-05a" xml:space="preserve">L</note>
            qualis eſt ipſi p m.
              <lb/>
            </s>
            <s xml:id="echoid-s1359" xml:space="preserve">demõſtrata eſt au
              <lb/>
              <note position="left" xlink:label="note-0058-06" xlink:href="note-0058-06a" xml:space="preserve">M</note>
            tem p h maior,
              <lb/>
            quàm f. </s>
            <s xml:id="echoid-s1360" xml:space="preserve">cõſtat igi
              <lb/>
            tur p m minorem
              <lb/>
            eſſe, quàm ſeſqui-
              <lb/>
            alterã ipſius p h:
              <lb/>
            </s>
            <s xml:id="echoid-s1361" xml:space="preserve">& </s>
            <s xml:id="echoid-s1362" xml:space="preserve">idcirco p h ma
              <lb/>
            iorem, quàm du-
              <lb/>
            plam h m. </s>
            <s xml:id="echoid-s1363" xml:space="preserve">Sit p z
              <lb/>
            ipſius z m dupla. </s>
            <s xml:id="echoid-s1364" xml:space="preserve">
              <lb/>
            erit t quidem cẽ-
              <lb/>
            trũ grauitatis to-
              <lb/>
            tius ſolidi: </s>
            <s xml:id="echoid-s1365" xml:space="preserve">centrũ
              <lb/>
            eius partis, quæ intra humidum, punctumz: </s>
            <s xml:id="echoid-s1366" xml:space="preserve">reliquæ uero
              <lb/>
            partis centrum erit in linea z t producta uſque ad g. </s>
            <s xml:id="echoid-s1367" xml:space="preserve">Eodẽ
              <lb/>
              <note position="left" xlink:label="note-0058-07" xlink:href="note-0058-07a" xml:space="preserve">N</note>
            modo demonſtrabitur linea th perpendicularis ad ſuper-
              <lb/>
            ficiem humidi. </s>
            <s xml:id="echoid-s1368" xml:space="preserve">& </s>
            <s xml:id="echoid-s1369" xml:space="preserve">portio demerſa in humido ſeretur </s>
          </p>
        </div>
      </text>
    </echo>
Impressum