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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            <s xml:id="echoid-s10045" xml:space="preserve">Quoniam A R maior ponitur quã
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            A D ſumi poterit recta A X minor
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            quidem, quàm A R, ſed maior quã
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            A D, & </s>
            <s xml:id="echoid-s10046" xml:space="preserve">centro X interuallo X A
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            deſcribatur circulus I A S. </s>
            <s xml:id="echoid-s10047" xml:space="preserve">Patet
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              <note position="left" xlink:label="note-0306-01" xlink:href="note-0306-01a" xml:space="preserve">ex pr. 14.
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              addit.
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              lib. 5.</note>
            (ex demonſtratis ſuperius) circulum
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            I S extrinſecus tangere coniſectionem
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            B A C; </s>
            <s xml:id="echoid-s10048" xml:space="preserve">at ſectio T V extrinſecus
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              <note position="left" xlink:label="note-0306-02" xlink:href="note-0306-02a" xml:space="preserve">Maurol.
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              pr. 3. 6. 9.
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              13. lib. 5.
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              Conic.</note>
            circulum I S tangit in eodem puncto
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            verticis A, ergo ſectio T V extrin-
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            ſecus tangit coniſectionem B A C in
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            eodem puncto A. </s>
            <s xml:id="echoid-s10049" xml:space="preserve">Quod erat oſten-
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            dendum.</s>
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            <s xml:id="echoid-s10051" xml:space="preserve">Si in eodem plano circulus F A G ſecuerit coniſectionem H A I in
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              20.
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              Addit.
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              ex 16.
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              addit.
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              huius.</note>
            puncto A quod non ſit vertex axis eius, atque eadem recta linea D A
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            contingat circulum, & </s>
            <s xml:id="echoid-s10052" xml:space="preserve">ſectionem in eodem puncto A; </s>
            <s xml:id="echoid-s10053" xml:space="preserve">Dico quod quæ-
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            libet alia coniſectio S A Z in eodem plano cum illis poſita cuius axis ſit
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            idem circuli diameter A K habens Y ſemiſſem lateris recti axis æqualẽ radio
              <lb/>
            circuli F A G: </s>
            <s xml:id="echoid-s10054" xml:space="preserve">ſecabit quoque eandem coniſectionem H A I in eodem
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            puncto A, atque continget eandem rectam lineam A D in A.</s>
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            <s xml:id="echoid-s10056" xml:space="preserve">Deſcribantur (vt in 16. </s>
            <s xml:id="echoid-s10057" xml:space="preserve">additarum huius libri factum eſt) duo coni A B C,
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            Scalenus comprehendens ſectionem H A I, & </s>
            <s xml:id="echoid-s10058" xml:space="preserve">conus rectus E A C comprehen-
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            dens circularem ſubcontrariam ſectionem F A G, quorum baſis communis </s>
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