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-div238" type="section" level="1" n="82">
          <p>
            <s xml:id="echoid-s3895" xml:space="preserve">
              <pb file="0156" n="156" rhead="FED. COMMANDINI"/>
            mus: </s>
            <s xml:id="echoid-s3896" xml:space="preserve">erit utique grauitatis centrum pyramidis punctum
              <lb/>
            g: </s>
            <s xml:id="echoid-s3897" xml:space="preserve">in quo ſcilicet ipſi axes conueniunt.</s>
            <s xml:id="echoid-s3898" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div240" type="section" level="1" n="83">
          <head xml:id="echoid-head90" xml:space="preserve">THEOREMA XIIII. PROPOSITIO XVIII.</head>
          <p>
            <s xml:id="echoid-s3899" xml:space="preserve">
              <emph style="sc">Si</emph>
            ſolidum parallelepipedum ſecetur plano
              <lb/>
            baſibus æquidiſtante; </s>
            <s xml:id="echoid-s3900" xml:space="preserve">erit ſolidum ad ſolidum,
              <lb/>
            ſicut altitudo ad altitudinem, uel ſicut axisad
              <lb/>
            axem.</s>
            <s xml:id="echoid-s3901" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3902" xml:space="preserve">Sit ſolidum parallelepipe
              <lb/>
              <figure xlink:label="fig-0156-01" xlink:href="fig-0156-01a" number="110">
                <image file="0156-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0156-01"/>
              </figure>
            dum a b c d e f g h, cuius axis
              <lb/>
            k 1: </s>
            <s xml:id="echoid-s3903" xml:space="preserve">ſeceturq; </s>
            <s xml:id="echoid-s3904" xml:space="preserve">plano baſibus
              <lb/>
            æquidiſtante, quod faciat
              <lb/>
            fectionem m n o p; </s>
            <s xml:id="echoid-s3905" xml:space="preserve">& </s>
            <s xml:id="echoid-s3906" xml:space="preserve">axi in
              <lb/>
            puncto q occurrat. </s>
            <s xml:id="echoid-s3907" xml:space="preserve">Dico
              <lb/>
            ſolidum g m ad ſolidum m c
              <lb/>
            eam proportionem habere,
              <lb/>
            quam altitudo ſolidi g m ha-
              <lb/>
            betad ſolidi m c altitudi-
              <lb/>
            nem; </s>
            <s xml:id="echoid-s3908" xml:space="preserve">uel quam axis k q ad
              <lb/>
            axem q l. </s>
            <s xml:id="echoid-s3909" xml:space="preserve">Sienim axis K l ad
              <lb/>
            baſis planum ſit perpendicu
              <lb/>
            laris, & </s>
            <s xml:id="echoid-s3910" xml:space="preserve">linea g c, quæ ex quin
              <lb/>
            ta huius ipſi k l æquidiſtat,
              <lb/>
            perpendicularis erit ad idẽ
              <lb/>
            planum, & </s>
            <s xml:id="echoid-s3911" xml:space="preserve">ſolidi altitudi-
              <lb/>
            nem dimetietur. </s>
            <s xml:id="echoid-s3912" xml:space="preserve">Itaqueſo-
              <lb/>
              <note position="left" xlink:label="note-0156-01" xlink:href="note-0156-01a" xml:space="preserve">2. undeci
                <lb/>
              mi.</note>
            lidum g m ad ſolidum m c
              <lb/>
            eam proportionem habet,
              <lb/>
            quam parallelogrammũ g n
              <lb/>
            ad parallelogrammum n c,
              <lb/>
            hoc eſt quam linea g o, quæ
              <lb/>
              <note position="left" xlink:label="note-0156-02" xlink:href="note-0156-02a" xml:space="preserve">i. ſexti.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum