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-div935" type="section" level="1" n="294">
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              <pb o="306" file="0344" n="345" rhead="Apollonij Pergęi"/>
            nec non H E minor quàm H M ergo H
              <lb/>
              <figure xlink:label="fig-0344-01" xlink:href="fig-0344-01a" number="402">
                <image file="0344-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0344-01"/>
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            A ad eandem H G minorem proportio-
              <lb/>
            nem habebit, quàm H E, & </s>
            <s xml:id="echoid-s10992" xml:space="preserve">compa-
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            rando antecedentes, ad terminorum
              <lb/>
            ſummas vel ad differentias H A ad A
              <lb/>
              <note position="left" xlink:label="note-0344-01" xlink:href="note-0344-01a" xml:space="preserve">Lem. 2.
                <lb/>
              lib. 5.</note>
            G minorem proportionem habet, quàm
              <lb/>
            H E ad E G, & </s>
            <s xml:id="echoid-s10993" xml:space="preserve">ſimiliter H E ad E G
              <lb/>
            minorem proportionem habet, quàm H
              <lb/>
            M ad M G : </s>
            <s xml:id="echoid-s10994" xml:space="preserve">eſt verò quadratum A C
              <lb/>
              <note position="left" xlink:label="note-0344-02" xlink:href="note-0344-02a" xml:space="preserve">ex 15. 16.
                <lb/>
              lib. 1.
                <lb/>
              Defin. 1.
                <lb/>
              huius.
                <lb/>
              Prop. 7.
                <lb/>
              huius.</note>
            ad quadratum Q R, vt H A ad A G,
              <lb/>
            & </s>
            <s xml:id="echoid-s10995" xml:space="preserve">quadratum I L ad quadratum N O,
              <lb/>
            vt H E ad E G ; </s>
            <s xml:id="echoid-s10996" xml:space="preserve">pariterquè quadratum
              <lb/>
            S T ad quadratum V X eſt, vt H M
              <lb/>
            ad M G ; </s>
            <s xml:id="echoid-s10997" xml:space="preserve">& </s>
            <s xml:id="echoid-s10998" xml:space="preserve">ideo A C ad Q R mino-
              <lb/>
            rem proportionem habebit, quàm I L ad
              <lb/>
            N O, & </s>
            <s xml:id="echoid-s10999" xml:space="preserve">I L ad N O minorem propor-
              <lb/>
            tionem habebit, quàm S T ad V X; </s>
            <s xml:id="echoid-s11000" xml:space="preserve">& </s>
            <s xml:id="echoid-s11001" xml:space="preserve">
              <lb/>
            ſimiliter earundem proportionum dupli-
              <lb/>
              <note position="left" xlink:label="note-0344-03" xlink:href="note-0344-03a" xml:space="preserve">ex 15. 16.
                <lb/>
              lib. 1.</note>
            catę eodem ordine inęquales erunt, ſci-
              <lb/>
            licet A C ad eius latus rectum minorem
              <lb/>
            proportionem habebit quàm I L ad etus
              <lb/>
            rectum latus, &</s>
            <s xml:id="echoid-s11002" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11003" xml:space="preserve">Ad perfectionem
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            partis ſecundę propoſitionis 28. </s>
            <s xml:id="echoid-s11004" xml:space="preserve">requiri-
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            tur hoc.</s>
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        <div xml:id="echoid-div937" type="section" level="1" n="295">
          <head xml:id="echoid-head366" xml:space="preserve">LEMMA. I.</head>
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            <s xml:id="echoid-s11006" xml:space="preserve">I N ellipſi cuius axes inęquales ſunt, duas diametros coniugatas inter
              <lb/>
            ſe ęquales reperire.</s>
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