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-head302" xml:space="preserve">Notæ in Propoſit. XXVIII.</head>
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            <s xml:id="echoid-s9219" xml:space="preserve">DEinde ſit ſectio elliptica, vt A B, & </s>
            <s xml:id="echoid-s9220" xml:space="preserve">axis eius tranſuerſus B D, & </s>
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            erectus illius B E; </s>
            <s xml:id="echoid-s9222" xml:space="preserve">& </s>
            <s xml:id="echoid-s9223" xml:space="preserve">ſit triãgulum coni H F I, & </s>
            <s xml:id="echoid-s9224" xml:space="preserve">circumducamus
              <lb/>
            circa illum circulum, & </s>
            <s xml:id="echoid-s9225" xml:space="preserve">educamus ex F lineam F L K occurrentem ipſi
              <lb/>
            extra circulum in K; </s>
            <s xml:id="echoid-s9226" xml:space="preserve">& </s>
            <s xml:id="echoid-s9227" xml:space="preserve">occurrat circulo in L ita vt ſit F K ad K L, vt
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            D B ad B E; </s>
            <s xml:id="echoid-s9228" xml:space="preserve">& </s>
            <s xml:id="echoid-s9229" xml:space="preserve">eſt facile ( vti demonſtrauimus in 59. </s>
            <s xml:id="echoid-s9230" xml:space="preserve">ex I.)</s>
            <s xml:id="echoid-s9231" xml:space="preserve">, &</s>
            <s xml:id="echoid-s9232" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9233" xml:space="preserve"/>
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            <s xml:id="echoid-s9234" xml:space="preserve">Senſus propoſitionis hic erit. </s>
            <s xml:id="echoid-s9235" xml:space="preserve">In cono recto, cuius triangulum per axim H F I
              <lb/>
            reperire ſectionem æqualem datæ ellipſi A B, cuius axis tranſuerſus D B, & </s>
            <s xml:id="echoid-s9236" xml:space="preserve">
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            latus rectum B E. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">In conſtructione poſtea duci debet recta linea F L K extra
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            circulum, & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">triangulum ad vtraſque partes, alias conſtructio non eſſet perfecta.</s>
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            <s xml:id="echoid-s9240" xml:space="preserve">Lemma verò, quod repoſuiſſe, dicit Arabicus interpres in I. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">libro, ab hoc
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            ſequenti for ſam diuerſum non erit.</s>
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          <head xml:id="echoid-head303" xml:space="preserve">LEMMAX.</head>
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            <s xml:id="echoid-s9243" xml:space="preserve">SEcetur latus F I in S, vt ſit F I
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            ad I S in eadem ratione, quàm
              <lb/>
            habet axis tranſuerſus D B ad latus re-
              <lb/>
            ctum B E: </s>
            <s xml:id="echoid-s9244" xml:space="preserve">& </s>
            <s xml:id="echoid-s9245" xml:space="preserve">ducatur S L æquidiſtans
              <lb/>
            trianguli baſi H I, quæ ſecet circulum ex
              <lb/>
            vtraque parte in L, & </s>
            <s xml:id="echoid-s9246" xml:space="preserve">coniungantur re-
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            ctæ lineæ F L, producanturque quoſquè
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            ſecent baſim H I in punctis K.</s>
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            <s xml:id="echoid-s9248" xml:space="preserve">Quoniam in triangulo F I K ducitur recta
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            linea S L æquidiſtans baſi I K, erit F I </s>
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