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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[Item 1.]
[2.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. & ARCHIMEDIS ASVMPTOR VM LIBER.
[3.] APOLLONII PERGÆI CONICORVM LIB. V. VI. VII. PARAPHRASTE ABALPHATO ASPHAHANENSI
[4.] ADDITVS IN CALCE ARCHIMEDIS ASSVMPTORVM LIBER, EX CODICIBVS ARABICIS M.SS. SERENISSIMI MAGNI DVCIS ETRVRIÆ ABRAHAMVS ECCHELLENSIS MARONITA
[5.] IO: ALFONSVS BORELLVS
[6.] AD SERENISSIMVM COSMVM III. ETRVRIÆ PRINCIPEM FLORENTIÆ, Ex Typographia Ioſephi Cocchini ad inſigne Stellæ MDCLXI. SVPERIORVM PERMISSV.
[7.] COSMVM TERTIVM ETRVRIÆ PRINCIPEM. 10: AL FONSVS BORELLIVS F.
[8.] CAVE CHRISTIANE LECTOR.
[9.] IN NOMINE DEI MISERICORDIS MISERATORIS. PROOE MIVM ABALPHATHI FILII MAHMVDI, FILII ALCASEMI, FILII ALPHADHALI ASPHAHANENSIS. LAVS DEO VTRIVSQVE SECVLI DOMINO.
[10.] ABRAHAMI ECCHELLENSIS IN LATINAM EX ARABICIS Librorum Apollonij Pergæi verſionem PRÆFATIO.
[11.] PRÆFATIO AD LECTOREM.
[12.] INDEX
[13.] APOLLONII PERGAEI CONICORVM LIB. V. DEFINITIONES. I.
[14.] II.
[15.] III.
[16.] IV.
[17.] V.
[18.] VI.
[19.] VII.
[20.] VIII.
[21.] IX.
[22.] X.
[23.] XI.
[24.] XII.
[25.] XIII.
[26.] XIV.
[27.] XV.
[28.] XIV.
[29.] NOTÆ.
[30.] SECTIO PRIMA Continens propoſitiones I. II. & III. Apollonij. PROPOSITIO I.
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              <pb o="41" file="0079" n="79" rhead="Conicor. Lib. V."/>
              <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a" number="55">
                <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0079-01"/>
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            auferatur in ellipſi; </s>
            <s xml:id="echoid-s2051" xml:space="preserve">quare C A ad A L non habet maiorem proportionem, quàm
              <lb/>
            ad A D, & </s>
            <s xml:id="echoid-s2052" xml:space="preserve">componendo in hyperbola, & </s>
            <s xml:id="echoid-s2053" xml:space="preserve">diuidendo in ellipſi C L ad A L, non
              <lb/>
            habet maiorem proportionem, quàm C D ad D A, ſed C D ad A D minorem
              <lb/>
            proportionem habet, quam ad eius ſegmentum I D, ergo diuidendo in hyperbo-
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            la, & </s>
            <s xml:id="echoid-s2054" xml:space="preserve">componendo in ellipſi habebit A C ad A D, & </s>
            <s xml:id="echoid-s2055" xml:space="preserve">adhuc ad A L, ſeu A H
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            minorem proportionem, quàm C I ad I D, habet verò C I ad I D minorem ra-
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            tionem, quàm ad eius ſegmentum I F; </s>
            <s xml:id="echoid-s2056" xml:space="preserve">igitur C I ad I F maiorem proportionem
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            habet, quàm C A ad A H.</s>
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          <head xml:id="echoid-head102" xml:space="preserve">Notæ in Propoſit. LI.</head>
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            <s xml:id="echoid-s2058" xml:space="preserve">DIco quod nul-
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              <figure xlink:label="fig-0079-02" xlink:href="fig-0079-02a" number="56">
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            lus ramus bre
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            uiſecans duci po-
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            teſt, &</s>
            <s xml:id="echoid-s2059" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2060" xml:space="preserve">Dico, quod
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            ex concurſu E ad ſe-
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            ctionem nullus ra-
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            musbreuiſecans duci
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            poteſt.</s>
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            <s xml:id="echoid-s2062" xml:space="preserve">Quoniam D E
              <lb/>
              <note position="left" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">b</note>
            maior eſt, quàm H,
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            &</s>
            <s xml:id="echoid-s2063" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2064" xml:space="preserve">Quoniam D E
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            maior eſt, quàm H
              <lb/>
            habebit E D ad B G
              <lb/>
            maiorem rationem,
              <lb/>
            quàm H ad eandem
              <lb/>
            B G; </s>
            <s xml:id="echoid-s2065" xml:space="preserve">poſita autem fuit
              <lb/>
            inuersè G F ad F D,
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            vt H ad B G; </s>
            <s xml:id="echoid-s2066" xml:space="preserve">ergo E D
              <lb/>
            ad B G maiorem ra-
              <lb/>
            tionem habet, quàm
              <lb/>
            G F ad F D; </s>
            <s xml:id="echoid-s2067" xml:space="preserve">& </s>
            <s xml:id="echoid-s2068" xml:space="preserve"/>
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