Apollonius <Pergaeus>, Apollonii Pergaei Conicorvm Lib. V. VI. VII. paraphraste Abalphato Asphahanensi : nunc primum editi ; additvs in calce Archimedis assvmptorvm liber, ex codibvs arabicis mss Abrahamus Ecchellensis Maronita latinos reddidit, Jo. Alfonsvs Borellvs curam in geometricis versione contulit & [et] notas vberiores in vniuersum opus adiecit

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        <div xml:id="echoid-div879" type="section" level="1" n="269">
          <pb o="283" file="0321" n="321" rhead="Conicor. Lib. VII."/>
          <figure number="373">
            <image file="0321-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0321-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s10390" xml:space="preserve">IX. </s>
            <s xml:id="echoid-s10391" xml:space="preserve">Vel ad quadratum
              <lb/>
            differẽtiæ coniugatarum eã-
              <lb/>
            dem proportionem habet,
              <lb/>
            quàm productum præſectæ in
              <lb/>
            ſuam interceptam compara-
              <lb/>
            tam ad quadratum differen-
              <lb/>
            tiæ interceptæ, & </s>
            <s xml:id="echoid-s10392" xml:space="preserve">potentis
              <lb/>
            comparatarum.</s>
            <s xml:id="echoid-s10393" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10394" xml:space="preserve">X. </s>
            <s xml:id="echoid-s10395" xml:space="preserve">Vel ad rectangulum
              <lb/>
            ſub duabus coniugatis con-
              <lb/>
            tentum eandem proportionem habet, quàm præſecta axis ad
              <lb/>
            ſuam potentem comparatam.</s>
            <s xml:id="echoid-s10396" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10397" xml:space="preserve">XI. </s>
            <s xml:id="echoid-s10398" xml:space="preserve">Ad ſummam verò duorum quadratorum ex coniugatis
              <lb/>
            eandem proportionem habet, quàm præſecta ad ſummam præ-
              <lb/>
            ſectæ, & </s>
            <s xml:id="echoid-s10399" xml:space="preserve">interceptæ comparatarum.</s>
            <s xml:id="echoid-s10400" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10401" xml:space="preserve">XV. </s>
            <s xml:id="echoid-s10402" xml:space="preserve">Sed ad quadratum erecti vnius coniugatæ eandem pro-
              <lb/>
            portionem habet, quàm præſecta axis in ſuam interceptam com-
              <lb/>
            paratam ad quadratum ſuæ præſectæ comparatæ.</s>
            <s xml:id="echoid-s10403" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10404" xml:space="preserve">XIX. </s>
            <s xml:id="echoid-s10405" xml:space="preserve">Sed ad quadratum differentiæ vnius coniugatarum, & </s>
            <s xml:id="echoid-s10406" xml:space="preserve">
              <lb/>
            eius erecti eandem proportionem habet, quàm productum præ-
              <lb/>
            ſectę axis illi diametro homologę in ſuam interceptam compa-
              <lb/>
            ratam ad quadratum exceſſus præſectæ, & </s>
            <s xml:id="echoid-s10407" xml:space="preserve">interceptæ compara-
              <lb/>
            tarum.</s>
            <s xml:id="echoid-s10408" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10409" xml:space="preserve">XVI. </s>
            <s xml:id="echoid-s10410" xml:space="preserve">Ad quadratum verò ſummæ inclinatæ diametri, & </s>
            <s xml:id="echoid-s10411" xml:space="preserve">eius
              <lb/>
            erecti eandem proportionem habet, qnàm præſecta axis in ſuam
              <lb/>
            interceptam comparatam ad quadratum ſummæ interceptæ, & </s>
            <s xml:id="echoid-s10412" xml:space="preserve">
              <lb/>
            præſectæ comparatarum.</s>
            <s xml:id="echoid-s10413" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10414" xml:space="preserve">XVIII. </s>
            <s xml:id="echoid-s10415" xml:space="preserve">Sed ad figuram inclinatæ vnius coniugatarum ean-
              <lb/>
            dem proportionem habet, quàm axis præſecta ad præſectam
              <lb/>
            comparatam.</s>
            <s xml:id="echoid-s10416" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10417" xml:space="preserve">XVII. </s>
            <s xml:id="echoid-s10418" xml:space="preserve">Et ad ſummam duorum quadratorum inclinatæ, & </s>
            <s xml:id="echoid-s10419" xml:space="preserve">
              <lb/>
            erecti vnius coniugatarum eandem proportionem habet, quàm
              <lb/>
            præſecta in interceptam comparatam ad duo quadrata præſectæ,
              <lb/>
            & </s>
            <s xml:id="echoid-s10420" xml:space="preserve">interceptæ comparatarum.</s>
            <s xml:id="echoid-s10421" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s10422" xml:space="preserve">XX. </s>
            <s xml:id="echoid-s10423" xml:space="preserve">Et tandem ad exceſſum duorum quadratorum laterum
              <lb/>
            figuræ inclinatæ duarum coniugatarum eandem proportionem
              <lb/>
            habet, quàm productum præſectæ in interceptam comparatã ad
              <lb/>
            exceſſum quadratorum præſectæ, & </s>
            <s xml:id="echoid-s10424" xml:space="preserve">interceptæ comparatarum.</s>
            <s xml:id="echoid-s10425" xml:space="preserve"/>
          </p>
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