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

Table of contents

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[311.] PROPOSITIO XXXIX.
Page: 363 (324)
[312.] PROPOSITIO XXXX.
Page: 364 (325)
[313.] In Sectionem VII. Propoſit: XXXVIII. XXXIX. & XXXX. LEMMA VI.
Page: 366 (327)
[314.] LEMMA VII.
Page: 366 (327)
[315.] LEMMA VIII.
Page: 367 (328)
[316.] LEMMA IX.
Page: 367 (328)
[317.] Notæ in Propoſit. XXXVIII. XXXIX.
Page: 369 (330)
[318.] Notæ in Propoſit. XXXX.
Page: 369 (330)
[319.] SECTIO OCTAVA Continens Propoſit. XXXXIIII. XXXXV. & XXXXVI.
Page: 372 (333)
[320.] PROPOSITIO XXXXVI.
Page: 374 (335)
[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
Page: 375 (336)
[322.] LEMM A XI.
Page: 375 (336)
[323.] LEMM A XII.
Page: 376 (337)
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
Page: 378 (339)
[325.] Notæ in Propoſit. XXXXVI.
Page: 378 (339)
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
Page: 380 (341)
[327.] PROPOSITIO XXXXI.
Page: 382 (343)
[328.] PROPOSITIO XXXXVII.
Page: 383 (344)
[329.] PROPOSITIO XXXXVIII.
Page: 386 (347)
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
Page: 388 (349)
[331.] LEMMA XIV.
Page: 389 (350)
[332.] LEMMA XV.
Page: 389 (350)
[333.] Notæ in Propoſit. XXXXI.
Page: 392 (353)
[334.] Notæ in Propoſit. XXXXVII.
Page: 393 (354)
[335.] Notæ in Propoſit. XXXXVIII.
Page: 394 (355)
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
Page: 397 (358)
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
Page: 400 (361)
[338.] LEMMA XVII.
Page: 400 (361)
[339.] LEMMA XVIII.
Page: 403 (364)
[340.] Notæ in Propoſit. XXXXIX.
Page: 404 (365)
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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>
            <s xml:id="echoid-s12539" xml:space="preserve">ex P R minor
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            erit, quàm differentta quadratorum ex I L, & </s>
            <s xml:id="echoid-s12540" xml:space="preserve">ex I K, ſeu minor quàm dif-
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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
              <lb/>
            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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            D, & </s>
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            <s xml:id="echoid-s12550" xml:space="preserve">P Q cadant inter A C, & </s>
            <s xml:id="echoid-s12551" xml:space="preserve">a b, earum </s>
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