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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            H erit vt M H ad H D: </s>
            <s xml:id="echoid-s12106" xml:space="preserve">& </s>
            <s xml:id="echoid-s12107" xml:space="preserve">comparando homologorum differentias erit
              <lb/>
            M G ad M D, vt G H ad H M: </s>
            <s xml:id="echoid-s12108" xml:space="preserve">& </s>
            <s xml:id="echoid-s12109" xml:space="preserve">propterea duplum G H in M D, ſeu
              <lb/>
            quadruplum H D in D M eſt æquale duplo G M in M H: </s>
            <s xml:id="echoid-s12110" xml:space="preserve">& </s>
            <s xml:id="echoid-s12111" xml:space="preserve">propterea
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            duplum G M in M H maius erit quàm duplum G E in M H; </s>
            <s xml:id="echoid-s12112" xml:space="preserve">ponatur
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            communiter duplum E M in H M cum quadruplo quadrati M D, & </s>
            <s xml:id="echoid-s12113" xml:space="preserve">fiat
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            D d æqualis D M, fiet duplum E d in M H maius quadrato H M cum
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              <figure xlink:label="fig-0386-01" xlink:href="fig-0386-01a" number="457">
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            quadrato M G; </s>
            <s xml:id="echoid-s12114" xml:space="preserve">igitur d E in E M bis ſumptum ad duplum E d in M H.
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            <s xml:id="echoid-s12115" xml:space="preserve">nempe E M ad M H minorem proportionem habebit, quàm duplum d
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            E in E M ad duo quadrata ex M G, & </s>
            <s xml:id="echoid-s12116" xml:space="preserve">ex M H: </s>
            <s xml:id="echoid-s12117" xml:space="preserve">& </s>
            <s xml:id="echoid-s12118" xml:space="preserve">componendo E H
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            ad M H, ſeu E H in H A ad M H in H A minorem proportionem habe-
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            bit, quàm duplum d E in E M vna cum quadratis ex M H, & </s>
            <s xml:id="echoid-s12119" xml:space="preserve">ex
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            M G, quæ æqualia ſunt duobus quadratis H E, & </s>
            <s xml:id="echoid-s12120" xml:space="preserve">G E ad duo quadra-
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            ta ex M G, & </s>
            <s xml:id="echoid-s12121" xml:space="preserve">ex H M. </s>
            <s xml:id="echoid-s12122" xml:space="preserve">Et ſic pariter oſtendetur, quod quadratum H
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            A ad H E in H A minorem proportionem habebit, quàm duo quadrata
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            ex H A, & </s>
            <s xml:id="echoid-s12123" xml:space="preserve">ex A G ad duo quadrata ex H E, & </s>
            <s xml:id="echoid-s12124" xml:space="preserve">ex E G. </s>
            <s xml:id="echoid-s12125" xml:space="preserve">Atque de-
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            monſtrabitur quemadmodum antea dictum eſt, quod quadratum </s>
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Impressum