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-div1082" type="section" level="1" n="342">
          <p style="it">
            <s xml:id="echoid-s12551" xml:space="preserve">
              <pb o="368" file="0406" n="407" rhead="Apollonij Pergæi"/>
            C E, & </s>
            <s xml:id="echoid-s12552" xml:space="preserve">C M, termini E, & </s>
            <s xml:id="echoid-s12553" xml:space="preserve">M cadent inter D, & </s>
            <s xml:id="echoid-s12554" xml:space="preserve">A, & </s>
            <s xml:id="echoid-s12555" xml:space="preserve">M cadat inter
              <lb/>
            E & </s>
            <s xml:id="echoid-s12556" xml:space="preserve">D, propterea M H ad M D maiorem proportionem habebit, quàm H E
              <lb/>
              <figure xlink:label="fig-0406-01" xlink:href="fig-0406-01a" number="480">
                <image file="0406-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-01"/>
              </figure>
            ad E D, igitur differentia quadratorum laterum figuræ P Q minor erit diffe-
              <lb/>
              <note position="left" xlink:label="note-0406-01" xlink:href="note-0406-01a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rentia quadratorum laterum figuræ I L, vel figuræ A C.</s>
            <s xml:id="echoid-s12557" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12558" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <figure xlink:label="fig-0406-02" xlink:href="fig-0406-02a" number="481">
                <image file="0406-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-02"/>
              </figure>
              <note position="left" xlink:label="note-0406-02" xlink:href="note-0406-02a" xml:space="preserve">PROP. 9.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum la-
              <lb/>
            terum figuræ eius æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum figuræ
              <lb/>
            axis maioris A C.</s>
            <s xml:id="echoid-s12559" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12560" xml:space="preserve">Secetur H D in e, vt H e ad e D
              <lb/>
            eandem proportionem babeat, quàm
              <lb/>
            H A ad A D, & </s>
            <s xml:id="echoid-s12561" xml:space="preserve">ex puncto e educa-
              <lb/>
            tur ad axim perpendicularis e h occur-
              <lb/>
            rens ſectioni in h, & </s>
            <s xml:id="echoid-s12562" xml:space="preserve">coniungatur a
              <lb/>
            h, quàm bifariam ſecet diameter f d,
              <lb/>
            cuius erectus d g: </s>
            <s xml:id="echoid-s12563" xml:space="preserve">dico diametrum,
              <lb/>
            f d eße quæſitam. </s>
            <s xml:id="echoid-s12564" xml:space="preserve">Quia H e ad e D
              <lb/>
            eandem proportionem habet, quàm H
              <lb/>
            A ad A D, ergo differentia quadrato-
              <lb/>
              <note position="left" xlink:label="note-0406-03" xlink:href="note-0406-03a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rum ex f d, & </s>
            <s xml:id="echoid-s12565" xml:space="preserve">ex d g æqualis eſt dif-
              <lb/>
            ferentiæ quadratorum ex A C, & </s>
            <s xml:id="echoid-s12566" xml:space="preserve">ex
              <lb/>
            A F, quod erat propoſitum.</s>
            <s xml:id="echoid-s12567" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12568" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <note position="left" xlink:label="note-0406-04" xlink:href="note-0406-04a" xml:space="preserve">PROP.
                <lb/>
              10.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum late-
              <lb/>
            rum eius figuræ æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum </s>
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Impressum