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 |< < (15) of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div216" type="section" level="1" n="73">
          <p>
            <s xml:id="echoid-s3584" xml:space="preserve">
              <pb o="15" file="0141" n="141" rhead="DE CENTRO GRAVIT. SOLID."/>
            bere proportionem, quam ſpacium g h ad dictã
              <lb/>
            figuram, hoc modo demonſtrabimus.</s>
            <s xml:id="echoid-s3585" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3586" xml:space="preserve">Intelligatur circulus, uel ellipſis x æqualis figuræ rectili-
              <lb/>
            neæ in g h ſpacio deſcriptæ: </s>
            <s xml:id="echoid-s3587" xml:space="preserve">& </s>
            <s xml:id="echoid-s3588" xml:space="preserve">ab x conſtituatur conus, uel
              <lb/>
              <figure xlink:label="fig-0141-01" xlink:href="fig-0141-01a" number="95">
                <image file="0141-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0141-01"/>
              </figure>
            coni portio, altitudinẽ habens eandẽ, quã cylindrus uel cy
              <lb/>
            lindri portio c e. </s>
            <s xml:id="echoid-s3589" xml:space="preserve">Sit deinde rectilinea figura, in quay eade,
              <lb/>
            quæ in ſpacio g h deſcripta eſt: </s>
            <s xml:id="echoid-s3590" xml:space="preserve">& </s>
            <s xml:id="echoid-s3591" xml:space="preserve">ab hac pyramis æquealta
              <lb/>
            conſtituatur. </s>
            <s xml:id="echoid-s3592" xml:space="preserve">Dico conũ uel coni portionẽ x pyramidiy æ-
              <lb/>
            qualẽ eſſe. </s>
            <s xml:id="echoid-s3593" xml:space="preserve">niſi enim ſit æqualis, uel maior, uel minor erit.</s>
            <s xml:id="echoid-s3594" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3595" xml:space="preserve">Sit primum maior, et exuperet ſolido z. </s>
            <s xml:id="echoid-s3596" xml:space="preserve">Itaque in circu
              <lb/>
            lo, uel ellipſi x deſcribatur figura rectilinea; </s>
            <s xml:id="echoid-s3597" xml:space="preserve">& </s>
            <s xml:id="echoid-s3598" xml:space="preserve">in ea pyra-
              <lb/>
            mis eandem, quam conus, uel coni portio altitudinem ha-
              <lb/>
            bens, ita ut portiones relictæ minores ſint ſolido z, quem-
              <lb/>
            admodum docetur in duodecimo libro elementorum pro
              <lb/>
            poſitione undecima. </s>
            <s xml:id="echoid-s3599" xml:space="preserve">erit pyramis x adhuc pyramide y ma
              <lb/>
            ior. </s>
            <s xml:id="echoid-s3600" xml:space="preserve">& </s>
            <s xml:id="echoid-s3601" xml:space="preserve">quoniam piramides æque altæ inter ſe ſunt, ſicuti ba
              <lb/>
              <note position="right" xlink:label="note-0141-01" xlink:href="note-0141-01a" xml:space="preserve">6. duode-
                <lb/>
              cimi.</note>
            ſes; </s>
            <s xml:id="echoid-s3602" xml:space="preserve">pyramis x ad piramidem y eandem proportionem ha-
              <lb/>
            bet, quàm figura rectilinea x ad figuram y. </s>
            <s xml:id="echoid-s3603" xml:space="preserve">Sed ſigura </s>
          </p>
        </div>
      </text>
    </echo>
Impressum