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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            bebit minorem proportionem, quàm duplum rectanguli d O E ad duo quadrata
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            ex G O, & </s>
            <s xml:id="echoid-s12228" xml:space="preserve">ex O H, & </s>
            <s xml:id="echoid-s12229" xml:space="preserve">componendo ex lem. </s>
            <s xml:id="echoid-s12230" xml:space="preserve">14. </s>
            <s xml:id="echoid-s12231" xml:space="preserve">permutando, & </s>
            <s xml:id="echoid-s12232" xml:space="preserve">ex 17. </s>
            <s xml:id="echoid-s12233" xml:space="preserve">hu-
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            ius, tandem erunt duo quadrata ex I L, & </s>
            <s xml:id="echoid-s12234" xml:space="preserve">ex I K maiora duobus quadratis
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            ex P Q, & </s>
            <s xml:id="echoid-s12235" xml:space="preserve">ex P R.</s>
            <s xml:id="echoid-s12236" xml:space="preserve"/>
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            <s xml:id="echoid-s12237" xml:space="preserve">Sl in ellypſi termini E, O laterum
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            C E, C O, diametrorum I L, & </s>
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            P Q cadant hinc inde à centro D, ſitque
              <lb/>
            D O maior quàm D E, dico quod qua-
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            drata ex P Q, & </s>
            <s xml:id="echoid-s12239" xml:space="preserve">ex P R maiora ſunt
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            quadratis ex I L, & </s>
            <s xml:id="echoid-s12240" xml:space="preserve">ex I K.</s>
            <s xml:id="echoid-s12241" xml:space="preserve"/>
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            <s xml:id="echoid-s12242" xml:space="preserve">Quia O H minor eſt, quàm E H, ſed duo
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            quadrata ex G O maximo, & </s>
            <s xml:id="echoid-s12243" xml:space="preserve">O H minimo
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            ſegmentorum eiuſdem rectæ lineæ G H maio-
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            ra ſunt duobus quadratis ex G E, & </s>
            <s xml:id="echoid-s12244" xml:space="preserve">ex E
              <lb/>
            H intermedijs ſegmentis; </s>
            <s xml:id="echoid-s12245" xml:space="preserve">ergo O H ad E H,
              <lb/>
            minor ad maiorem ſeu rectangulum O H A
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            ad rectangulum E H A minorem proportionem
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            habet, quàm maior ſumma quadratorum ex
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            G O, & </s>
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            <s xml:id="echoid-s12248" xml:space="preserve">per-
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            mutando rectangulum O H A ad duo qua-
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            drata ex G O, & </s>
            <s xml:id="echoid-s12249" xml:space="preserve">ex O H, ſeu quadratum
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              <note position="left" xlink:label="note-0390-01" xlink:href="note-0390-01a" xml:space="preserve">17. huius.</note>
            A C ad duo quadrata ex P Q, & </s>
            <s xml:id="echoid-s12250" xml:space="preserve">ex P </s>
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Impressum