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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[291.] PROPOSITIO XXXXIII.
Page: 341 (302)
[292.] PROPOSITIO XXIV.
Page: 342 (303)
[293.] PROPOSITIO XXXVII.
Page: 343 (304)
[294.] Notę in Propoſit. XXVIII.
Page: 344 (305)
[295.] LEMMA. I.
Page: 345 (306)
[296.] Notę in Propoſit. XXI.
Page: 347 (308)
[297.] Notę in Propoſit. XXXXII.
Page: 349 (310)
[298.] Notæ in Propoſit. XXXXIII.
Page: 350 (311)
[299.] Notæ in Propoſit. XXIV.
Page: 352 (313)
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
Page: 353 (314)
[301.] PROPOSITIO XXXIV.
Page: 354 (315)
[302.] PROPOSITIO XXXV. & XXXVI.
Page: 355 (316)
[303.] In Sectionem VI.
Page: 356 (317)
[304.] LEMMA II.
Page: 357 (318)
[305.] LEMMA III.
Page: 357 (318)
[306.] LEMMA IV.
Page: 357 (318)
[307.] LEMMA V.
Page: 358 (319)
[308.] Notæ in Propof. XXXIII. & XXXIV.
Page: 359 (320)
[309.] Notæ in Propoſit. XXXV.
Page: 360 (321)
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
Page: 362 (323)
[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)
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              <pb o="176" file="0214" n="214" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0214-01" xlink:href="fig-0214-01a" number="237">
                <image file="0214-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0214-01"/>
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            tum potentialis I B, vt H L in L O, ſeu L V in L D ad quadratum L
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            D, eò quod quælibet ex dictis proportionibus eadem eſt proportioni fi-
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            guræ K A, & </s>
            <s xml:id="echoid-s6764" xml:space="preserve">M C (39. </s>
            <s xml:id="echoid-s6765" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6766" xml:space="preserve">, ergo T I ad I B eſt, vt V L ad L D, & </s>
            <s xml:id="echoid-s6767" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0214-01" xlink:href="note-0214-01a" xml:space="preserve">37. lib. 1.</note>
            angulus I, qui æqualis eſt ipſi R A G æqualis eſt angulo L, qui æqualis
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            eſt S C H; </s>
            <s xml:id="echoid-s6768" xml:space="preserve">igitur angulus G æqualis etiam eſt angulo H: </s>
            <s xml:id="echoid-s6769" xml:space="preserve">& </s>
            <s xml:id="echoid-s6770" xml:space="preserve">propterea
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              <note position="left" xlink:label="note-0214-02" xlink:href="note-0214-02a" xml:space="preserve">Propoſ. 2.
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              præmiſſ.</note>
            G A R ſimile eſt H C S, & </s>
            <s xml:id="echoid-s6771" xml:space="preserve">pariter G A P, H C Q ſunt ſimilia, quia P, Q
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            ſunt recti, vnde A P R, C Q S ſunt etiã ſimilia, & </s>
            <s xml:id="echoid-s6772" xml:space="preserve">proportio vniuſcuiuſq;
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            </s>
            <s xml:id="echoid-s6773" xml:space="preserve">eorum, nempe G P, P R ad P A, eſt, vt proportio H Q, S Q ad C Q; </s>
            <s xml:id="echoid-s6774" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0214-03" xlink:href="note-0214-03a" xml:space="preserve">c</note>
            igitur G P in P R ad quadratum P A, nempe B E ad erectum illius (39.
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            </s>
            <s xml:id="echoid-s6775" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s6776" xml:space="preserve">eſt vt H Q in Q S ad quadratum C Q, nempe D F ad erectum
              <lb/>
            illius (39. </s>
            <s xml:id="echoid-s6777" xml:space="preserve">ex 1.)</s>
            <s xml:id="echoid-s6778" xml:space="preserve">; </s>
            <s xml:id="echoid-s6779" xml:space="preserve">igitur
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              <note position="left" xlink:label="note-0214-04" xlink:href="note-0214-04a" xml:space="preserve">37. lib. 1.</note>
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            figuræ duorum axiũ ſunt
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            ſimiles, & </s>
            <s xml:id="echoid-s6780" xml:space="preserve">duæ ſectiones
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            ſimiles ſunt (12. </s>
            <s xml:id="echoid-s6781" xml:space="preserve">ex 6.</s>
            <s xml:id="echoid-s6782" xml:space="preserve">(
              <lb/>
            ſed oportet in ellipſi, vt
              <lb/>
            duæ diametri, ideoque
              <lb/>
            duo axes ſint ſimul aut
              <lb/>
            tranſuerſi, aut ſimul re-
              <lb/>
            cti. </s>
            <s xml:id="echoid-s6783" xml:space="preserve">Et hoc erat propoſi-
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            tum.</s>
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