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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[241.] Notæ in Propoſit. XXVIII.
[242.] LEMMAX.
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
[244.] PROPOSITIO XXX.
[245.] PROPOSITIO XXXI.
[246.] Notæ in Propoſit. XXIX.
[247.] Notæ in Propoſit. XXX.
[248.] Notæ in Propoſit. XXXI.
[249.] LIBRI SEXTI FINIS.
[250.] DEFINITIONES. I.
[251.] II.
[252.] III.
[253.] IV.
[255.] VI.
[256.] VII.
[257.] VIII.
[258.] NOTÆ.
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
[260.] PROPOSITIO V. & XXIII.
[261.] Notæ in Propoſit. I.
[262.] Notæ in Propoſit. V. & XXIII.
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
[264.] PROPOSITIO IV.
[265.] PROPOSITIO VI. & VII.
[266.] Notæ in Propoſit. II. III.
[267.] Notæ in Propoſit. IV.
[268.] Notæ in Propoſit. VI. & VII.
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
[270.] Notæ in Propoſit. VIII.
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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
              <lb/>
            D d æqualis D M, fiet duplum E d in M H maius quadrato H M cum
              <lb/>
              <figure xlink:label="fig-0386-01" xlink:href="fig-0386-01a" number="457">
                <image file="0386-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0386-01"/>
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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.
              <lb/>
            </s>
            <s xml:id="echoid-s12115" xml:space="preserve">nempe E M ad M H minorem proportionem habebit, quàm duplum d
              <lb/>
            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
              <lb/>
            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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