Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div281" type="section" level="1" n="94">
          <p>
            <s xml:id="echoid-s4971" xml:space="preserve">
              <pb file="0198" n="198" rhead="FED. COMMANDINI"/>
            dris s g, t u eſſe
              <lb/>
              <figure xlink:label="fig-0198-01" xlink:href="fig-0198-01a" number="147">
                <image file="0198-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0198-01"/>
              </figure>
            punctum υ & </s>
            <s xml:id="echoid-s4972" xml:space="preserve">
              <lb/>
            totius figuræ in
              <lb/>
            ſcriptæ, quæ cõ-
              <lb/>
            ſtat ex cylindris
              <lb/>
            q r, ſ g, t u eſſe φ
              <lb/>
            centrum. </s>
            <s xml:id="echoid-s4973" xml:space="preserve">Sunt
              <lb/>
            enim hi cylindri
              <lb/>
            æquales & </s>
            <s xml:id="echoid-s4974" xml:space="preserve">ſimi-
              <lb/>
            les cylindris y z,
              <lb/>
            K ν, θ λ, figuræ
              <lb/>
            circumſcriptæ.
              <lb/>
            </s>
            <s xml:id="echoid-s4975" xml:space="preserve">Quoniã igitur
              <lb/>
            ut b e ad e d, ita
              <lb/>
            eſt o p ad p n; </s>
            <s xml:id="echoid-s4976" xml:space="preserve">
              <lb/>
            utraq; </s>
            <s xml:id="echoid-s4977" xml:space="preserve">enim u-
              <lb/>
            triuſque eſt du-
              <lb/>
            pla: </s>
            <s xml:id="echoid-s4978" xml:space="preserve">erit compo
              <lb/>
            nendo, ut b d ad
              <lb/>
            d e, ita o n ad n
              <lb/>
            p; </s>
            <s xml:id="echoid-s4979" xml:space="preserve">& </s>
            <s xml:id="echoid-s4980" xml:space="preserve">permutan
              <lb/>
            do, ut b d ad o
              <lb/>
            n, ita d e ad n p. </s>
            <s xml:id="echoid-s4981" xml:space="preserve">
              <lb/>
            Sed b d dupla
              <lb/>
            eſt o n. </s>
            <s xml:id="echoid-s4982" xml:space="preserve">ergo & </s>
            <s xml:id="echoid-s4983" xml:space="preserve">
              <lb/>
            e d ipſius n p du
              <lb/>
            pla erit. </s>
            <s xml:id="echoid-s4984" xml:space="preserve">quòd ſi
              <lb/>
            e d bifariam di-
              <lb/>
            uidatur ĩ χ, erit
              <lb/>
            χ d, uel e χ æ-
              <lb/>
            qualis n p: </s>
            <s xml:id="echoid-s4985" xml:space="preserve">& </s>
            <s xml:id="echoid-s4986" xml:space="preserve">
              <lb/>
            ſublata e n, quæ
              <lb/>
            eſt cõmunis u-
              <lb/>
            trique e χ, p </s>
          </p>
        </div>
      </text>
    </echo>