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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              <pb o="351" file="0389" n="390" rhead="Conicor. Lib. VII."/>
            H, atque aggregatum quadratorum larerum I L, & </s>
            <s xml:id="echoid-s12183" xml:space="preserve">I K figuræ dia-
              <lb/>
            metri I L ab aggregato quadratorum laterum P Q, & </s>
            <s xml:id="echoid-s12184" xml:space="preserve">P R fignræ al-
              <lb/>
            terius diametri, vna deficiunt, aut vna æqualia ſunt, vel vna exce-
              <lb/>
            dunt.</s>
            <s xml:id="echoid-s12185" xml:space="preserve"/>
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          <figure number="460">
            <image file="0389-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0389-01"/>
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            <s xml:id="echoid-s12186" xml:space="preserve">Fiat O d differentia ipſarum E H, & </s>
            <s xml:id="echoid-s12187" xml:space="preserve">G O, & </s>
            <s xml:id="echoid-s12188" xml:space="preserve">primo quia duplum rectan-
              <lb/>
            guli ex d O H æquale eſt quadratis ex G O, & </s>
            <s xml:id="echoid-s12189" xml:space="preserve">ex H O, ergo duplum rectan-
              <lb/>
            guli d O E ad duplum rectanguli d O H, ſeu O E ad H O eandem proportio-
              <lb/>
            nem habet, quàm duplum rectanguli d O E ad duo quadrata ex G O, & </s>
            <s xml:id="echoid-s12190" xml:space="preserve">ex H
              <lb/>
            O, & </s>
            <s xml:id="echoid-s12191" xml:space="preserve">componendo, erit E H ad H O, ſeu rectangulum E H A ad rectangu-
              <lb/>
              <note position="right" xlink:label="note-0389-01" xlink:href="note-0389-01a" xml:space="preserve">Lem. 14.
                <lb/>
              huius.</note>
            lum O H A vt àuo quadrata ex G E, & </s>
            <s xml:id="echoid-s12192" xml:space="preserve">ex E H ad duo quadrata ex G O, & </s>
            <s xml:id="echoid-s12193" xml:space="preserve">
              <lb/>
            ex H O, & </s>
            <s xml:id="echoid-s12194" xml:space="preserve">permutando rectangulum E H A ad quadrata ex G E, & </s>
            <s xml:id="echoid-s12195" xml:space="preserve">ex E
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              <note position="right" xlink:label="note-0389-02" xlink:href="note-0389-02a" xml:space="preserve">17. huius.</note>
            H, ſeu quadratum ex A C ad quadrata ex I L, & </s>
            <s xml:id="echoid-s12196" xml:space="preserve">ex I K, vel ad quadrata
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            ex A C, & </s>
            <s xml:id="echoid-s12197" xml:space="preserve">ex A F eandem proportionem habebit, quàm rectangulum O H A
              <lb/>
              <note position="right" xlink:label="note-0389-03" xlink:href="note-0389-03a" xml:space="preserve">Ibidem.</note>
            ad quadrata ex G O, & </s>
            <s xml:id="echoid-s12198" xml:space="preserve">ex H O, vel quadratum A C ad duo quadrata ex P
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            Q, & </s>
            <s xml:id="echoid-s12199" xml:space="preserve">ex P R, quapropter duo quadrata ex I L, & </s>
            <s xml:id="echoid-s12200" xml:space="preserve">ex I K, ſeu ex A C, & </s>
            <s xml:id="echoid-s12201" xml:space="preserve">
              <lb/>
            A F æqualia erunt duobus quadratis ex P Q, & </s>
            <s xml:id="echoid-s12202" xml:space="preserve">ex P R.</s>
            <s xml:id="echoid-s12203" xml:space="preserve"/>
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            <s xml:id="echoid-s12204" xml:space="preserve">Secundo ſit duplum rectanguli d O H minus quadratis ex G O, & </s>
            <s xml:id="echoid-s12205" xml:space="preserve">ex H O.
              <lb/>
            </s>
            <s xml:id="echoid-s12206" xml:space="preserve">duplum rectanguli d O E ad duplum rectanguli d O H, ſeu O E ad H O ha-
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            bebit maiorem proportionem, quàm duplum rectanguli d O E ad duo quadrata
              <lb/>
            ex G O, & </s>
            <s xml:id="echoid-s12207" xml:space="preserve">ex H O, & </s>
            <s xml:id="echoid-s12208" xml:space="preserve">rurſus componendo ex lem. </s>
            <s xml:id="echoid-s12209" xml:space="preserve">2. </s>
            <s xml:id="echoid-s12210" xml:space="preserve">lib. </s>
            <s xml:id="echoid-s12211" xml:space="preserve">5. </s>
            <s xml:id="echoid-s12212" xml:space="preserve">& </s>
            <s xml:id="echoid-s12213" xml:space="preserve">ex lem. </s>
            <s xml:id="echoid-s12214" xml:space="preserve">14. </s>
            <s xml:id="echoid-s12215" xml:space="preserve">& </s>
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              <lb/>
            permutando, atque ex 17. </s>
            <s xml:id="echoid-s12217" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s12218" xml:space="preserve">huius habebit idem quadratum A C ad duo
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            quadrata ex I L, & </s>
            <s xml:id="echoid-s12219" xml:space="preserve">ex I K maiorem proportionem, quàm ad duo quadrata ex
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            P Q, & </s>
            <s xml:id="echoid-s12220" xml:space="preserve">ex P R: </s>
            <s xml:id="echoid-s12221" xml:space="preserve">quapropter duo quadrata ex I L, & </s>
            <s xml:id="echoid-s12222" xml:space="preserve">ex I K minora erunt
              <lb/>
            duobus quadratis ex P Q, & </s>
            <s xml:id="echoid-s12223" xml:space="preserve">ex P R.</s>
            <s xml:id="echoid-s12224" xml:space="preserve"/>
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            <s xml:id="echoid-s12225" xml:space="preserve">Tertio ſit rectangulum d O H maius duobus quadratis ex G O, & </s>
            <s xml:id="echoid-s12226" xml:space="preserve">ex H O.
              <lb/>
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            <s xml:id="echoid-s12227" xml:space="preserve">duplum rectanguli ex d O E ad duplum rectanguli d O H, ſeu O E ad H O </s>
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