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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[241.] Notæ in Propoſit. XXVIII.
[242.] LEMMAX.
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
[244.] PROPOSITIO XXX.
[245.] PROPOSITIO XXXI.
[246.] Notæ in Propoſit. XXIX.
[247.] Notæ in Propoſit. XXX.
[248.] Notæ in Propoſit. XXXI.
[249.] LIBRI SEXTI FINIS.
[250.] DEFINITIONES. I.
[251.] II.
[252.] III.
[253.] IV.
[255.] VI.
[256.] VII.
[257.] VIII.
[258.] NOTÆ.
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
[260.] PROPOSITIO V. & XXIII.
[261.] Notæ in Propoſit. I.
[262.] Notæ in Propoſit. V. & XXIII.
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
[264.] PROPOSITIO IV.
[265.] PROPOSITIO VI. & VII.
[266.] Notæ in Propoſit. II. III.
[267.] Notæ in Propoſit. IV.
[268.] Notæ in Propoſit. VI. & VII.
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
[270.] Notæ in Propoſit. VIII.
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          <head xml:id="echoid-head370" xml:space="preserve">Notæ in Propoſit. XXIV.</head>
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            <s xml:id="echoid-s11213" xml:space="preserve">I Gitur erectum ipſius A C mi-
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              <note position="left" xlink:label="note-0351-01" xlink:href="note-0351-01a" xml:space="preserve">h</note>
            nus eſt in prima, & </s>
            <s xml:id="echoid-s11214" xml:space="preserve">maius in-
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            ſecunda, quàm I L, & </s>
            <s xml:id="echoid-s11215" xml:space="preserve">ſic oſten-
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            detur, quod erectum ipſius I L ma-
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            ius ſit, ſiue minus quàm erectum.
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            <s xml:id="echoid-s11216" xml:space="preserve">S T, &</s>
            <s xml:id="echoid-s11217" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11218" xml:space="preserve">Quoniam in prima ellipſi
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            rectangulum C A F minus eſt rectan-
              <lb/>
              <note position="right" xlink:label="note-0351-02" xlink:href="note-0351-02a" xml:space="preserve">Pro p. 28.
                <lb/>
              h uius.</note>
            gulo L I K; </s>
            <s xml:id="echoid-s11219" xml:space="preserve">ergo A C ad I L mino-
              <lb/>
            rem proportionem habet reciproce, quã
              <lb/>
            I @ ad A F; </s>
            <s xml:id="echoid-s11220" xml:space="preserve">quare I K ad aliquam
              <lb/>
            aliam quantitatem maiorem, quàm.
              <lb/>
            </s>
            <s xml:id="echoid-s11221" xml:space="preserve">A F eandem proportionem habebit,
              <lb/>
            quàm A C ad I L; </s>
            <s xml:id="echoid-s11222" xml:space="preserve">eſtquè A C maior
              <lb/>
            quàm I L in prima ellipſi; </s>
            <s xml:id="echoid-s11223" xml:space="preserve">ergo multò
              <lb/>
            magis I K maior erit quàm A F. </s>
            <s xml:id="echoid-s11224" xml:space="preserve">Pari ratione in eadem prima ellipſi rectan-
              <lb/>
            gulum L I K minus eſt rectangulo T S Z, & </s>
            <s xml:id="echoid-s11225" xml:space="preserve">I L axi maiori propinquior ma-
              <lb/>
            ior eſt, quàm S T; </s>
            <s xml:id="echoid-s11226" xml:space="preserve">ergo S Z maior erit, quàm I K.</s>
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            <s xml:id="echoid-s11228" xml:space="preserve">E contra in ſecunda ellipſi rectangulum L I K minus erit rectangulo C A F;
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            & </s>
            <s xml:id="echoid-s11230" xml:space="preserve">rectangulum T S Z minus erit rectangulo L I K; </s>
            <s xml:id="echoid-s11231" xml:space="preserve">eſtquè T S maior quàm
              <lb/>
            I L, & </s>
            <s xml:id="echoid-s11232" xml:space="preserve">I L maior, quàm A C; </s>
            <s xml:id="echoid-s11233" xml:space="preserve">igitur reciprocè A F maior erit, quàm I K,
              <lb/>
            & </s>
            <s xml:id="echoid-s11234" xml:space="preserve">I K maior, quàm S Z.</s>
            <s xml:id="echoid-s11235" xml:space="preserve"/>
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