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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          <head xml:id="echoid-head422" xml:space="preserve">Notæ in Propoſit. XXXXX.</head>
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            <s xml:id="echoid-s12535" xml:space="preserve">SI hyperbole axis A C minor fuerit eius erecto A F, quia H M maior eſt,
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            quàm H E, & </s>
            <s xml:id="echoid-s12536" xml:space="preserve">punctum H cadit inter D, & </s>
            <s xml:id="echoid-s12537" xml:space="preserve">A, ergo H M ad H D ma-
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            iorem proportionem habebit, quàm H E ad eandem H D, & </s>
            <s xml:id="echoid-s12538" xml:space="preserve">comparando ante-
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            cedentes ad terminorum ſummas H M ad M D maiorem proportionem habebit,
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            quàm H E ad E D, quare differentia quadratorum ex P Q, & </s>
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            erit, quàm differentta quadratorum ex I L, & </s>
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            ferentia quadratorum ex A C, & </s>
            <s xml:id="echoid-s12541" xml:space="preserve">ex A F.</s>
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            <s xml:id="echoid-s12543" xml:space="preserve">Poſtea, quia vt in precedenti nota dictũ eſt, differentia quadrati A C à rectan-
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            gulo C A F ad ſemidifferentiã quadratorũ ex I L, & </s>
            <s xml:id="echoid-s12544" xml:space="preserve">ex I K eandem proportionẽ
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            habet, quàm rectangulum E H G ad rectangulum ſub E D, & </s>
            <s xml:id="echoid-s12545" xml:space="preserve">ſub G H, eſt-
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            que illud rectangulum minus rectangulo iſto æquè alto, (cum illius baſis E H
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            minor ſit, quàm E D), igitur differentia quadrati A C à rectangulo C A F
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            minor eſt, quàm ſemidifferentia quadratorum ex I L, & </s>
            <s xml:id="echoid-s12546" xml:space="preserve">ex I K.</s>
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          <head xml:id="echoid-head423" xml:space="preserve">Notæ in Propoſit. XXXXXI.</head>
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            <s xml:id="echoid-s12548" xml:space="preserve">IN qualibet ellypſi ſit diameter a b æqualis eius erecto a c, eius latus erit C
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