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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              <pb o="280" file="0318" n="318" rhead="Apollonij Pergæi"/>
            dens quartum caſum in poſtrema figura, quàm ſuperaddidi, vti neceſſariam,
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            pro intelligentia octauæ propoſitionis.</s>
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            <s xml:id="echoid-s10338" xml:space="preserve">Et componendo in hyperbola, & </s>
            <s xml:id="echoid-s10339" xml:space="preserve">diuidendo in ellipſi prima deindè
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              <note position="right" xlink:label="note-0318-01" xlink:href="note-0318-01a" xml:space="preserve">b</note>
            coniungendo in duabus figuris prioribus, & </s>
            <s xml:id="echoid-s10340" xml:space="preserve">occurrere faciamus reſpe-
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            ctiuum cum reſpectiuo in reliquis figuris poſt inuerſionem, vt fiat, &</s>
            <s xml:id="echoid-s10341" xml:space="preserve">c.
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              <figure xlink:label="fig-0318-01" xlink:href="fig-0318-01a" number="368">
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            Ideſt componendo in byperbolis, & </s>
            <s xml:id="echoid-s10343" xml:space="preserve">in ellipſibus comparando differentias termi
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            norum ad conſequentes, deinde comparando homologorum differentias in duabus
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            figuris prioribus, & </s>
            <s xml:id="echoid-s10344" xml:space="preserve">ſumas in reliquis, innc enim A H ad G E eſt, vt A C
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            ad C G, & </s>
            <s xml:id="echoid-s10345" xml:space="preserve">ſumpta communi altitudine E A, erit tectangulum H A E ad re-
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            ctangulum G E A, vt A C ad C G. </s>
            <s xml:id="echoid-s10346" xml:space="preserve">Seà rectangulum H A E æquale eſt qua-
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            drato A E vna cum rectangulo H E A, cui æquale eſt quadratum B E, ergo
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            quadratum A B æquale eſt rectangulo H A E (propterea quod A B ſubtendit
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            angulum rectum E in triangulo B A E) quare quadratũ A B ad rectangulum
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            A G E eandem proportionẽ habet quàm C A ad C G.</s>
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          <head xml:id="echoid-head335" xml:space="preserve">Notæ in Propoſit. IV.</head>
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            <s xml:id="echoid-s10348" xml:space="preserve">SI hyperbolen, aut ellipſim A B tangat recta linea I M, & </s>
            <s xml:id="echoid-s10349" xml:space="preserve">occurrat
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            axi A C in M, vtique ipſius I M quadratum, &</s>
            <s xml:id="echoid-s10350" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10351" xml:space="preserve">Suppleri debet
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