Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

Page concordance

< >
Scan Original
171 30
172
173 31
174
175 32
176
177 33
178
179 34
180
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
< >
page |< < of 213 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div263" type="section" level="1" n="90">
          <p>
            <s xml:id="echoid-s4436" xml:space="preserve">
              <pb file="0178" n="178" rhead="FED. COMMANDINI"/>
            producantur. </s>
            <s xml:id="echoid-s4437" xml:space="preserve">Quoniam igitur pyramis ſecatur planis bafi
              <lb/>
            æquidiſtantibus, ſectiones ſimiles erunt: </s>
            <s xml:id="echoid-s4438" xml:space="preserve">atque erunt qua-
              <lb/>
              <note position="left" xlink:label="note-0178-01" xlink:href="note-0178-01a" xml:space="preserve">9. huius</note>
            drata, uel rectangula circa circulos, uel ellipſes deſcripta,
              <lb/>
            quemadmodum & </s>
            <s xml:id="echoid-s4439" xml:space="preserve">in ipſa baſi. </s>
            <s xml:id="echoid-s4440" xml:space="preserve">Sed cum circuli inter ſe eã
              <lb/>
            proportionem habeant, quam diametrorum quadrata:
              <lb/>
            </s>
            <s xml:id="echoid-s4441" xml:space="preserve">
              <note position="left" xlink:label="note-0178-02" xlink:href="note-0178-02a" xml:space="preserve">2. duode-
                <lb/>
              cimi.</note>
            itemq; </s>
            <s xml:id="echoid-s4442" xml:space="preserve">ellipſes eam quam rectangula ex ipſarum diametris
              <lb/>
            conſtantia: </s>
            <s xml:id="echoid-s4443" xml:space="preserve">& </s>
            <s xml:id="echoid-s4444" xml:space="preserve">ſit circulus, uel ellipſis circa diametrum e f
              <lb/>
              <figure xlink:label="fig-0178-01" xlink:href="fig-0178-01a" number="133">
                <image file="0178-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/4E7V2WGH/figures/0178-01"/>
              </figure>
              <note position="left" xlink:label="note-0178-03" xlink:href="note-0178-03a" xml:space="preserve">7. de co-
                <lb/>
              noidibus
                <lb/>
              & ſphæ-
                <lb/>
              roidibus</note>
            proportionalis inter circulos, uel ellipſes a b, c d; </s>
            <s xml:id="echoid-s4445" xml:space="preserve">erit re-
              <lb/>
            ctangulum e f etiam inter rectangula a b, c d proportio-
              <lb/>
            nale: </s>
            <s xml:id="echoid-s4446" xml:space="preserve">per rectangulum enim nunc breuitatis cauſa etiã ip-
              <lb/>
            ſum quadratum intelligemus. </s>
            <s xml:id="echoid-s4447" xml:space="preserve">quare ex iis, quæ proxime
              <lb/>
            dicta ſunt, pyramis baſim habens æqualem dictis rectangu
              <lb/>
            lis, & </s>
            <s xml:id="echoid-s4448" xml:space="preserve">altitudinem eandem, quam fruſtum a d, ipſi fruſto à
              <lb/>
            pyramide abſciſſo æqualis probabitur. </s>
            <s xml:id="echoid-s4449" xml:space="preserve">ut autem rectangu
              <lb/>
            lum c d ad rectangulũ e f, ita circulus, uel ellipſis c d a d e f
              <lb/>
            circulum, uel ellipſim: </s>
            <s xml:id="echoid-s4450" xml:space="preserve">componendoq; </s>
            <s xml:id="echoid-s4451" xml:space="preserve">ut rectangula c d,
              <lb/>
            e f, ad e f rectangulum, ita circuli, uel ellipſes e d, e f, ad e f:
              <lb/>
            </s>
            <s xml:id="echoid-s4452" xml:space="preserve">& </s>
            <s xml:id="echoid-s4453" xml:space="preserve">ut rectangulum e f ad rectangulum a b, ita cir culus, uel
              <lb/>
            cllipſis e f ad a b circulum, uel ellipſim. </s>
            <s xml:id="echoid-s4454" xml:space="preserve">ergo ex æquali, & </s>
            <s xml:id="echoid-s4455" xml:space="preserve">
              <lb/>
            componendo, utrectãgula c d, e f, a b ad ipſum a b, ita </s>
          </p>
        </div>
      </text>
    </echo>