Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
181 35
182
183 36
184
185 37
186
187 38
188
189 39
190
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
< >
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>