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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[361.] SCHOLIVM PRIMVM ALKAVHI.
Page: 432 (393)
[362.] SCHOLIVM SECVNDVM ALKAVHI.
Page: 433 (394)
[363.] Notæ in Propoſit. V.
Page: 434 (395)
[364.] PROPOSITIO VI.
Page: 435 (396)
[365.] Notæ in Propoſit. VI.
Page: 436 (397)
[366.] PROPOSITIO VII.
Page: 437 (398)
[367.] SCHOLIVM ALMOCHTASSO.
Page: 438 (399)
[368.] PROPOSITIO VIII.
Page: 438 (399)
[369.] SCHOLIVM ALMOCHTASSO.
Page: 439 (400)
[370.] Notæ in Propoſit. VIII.
Page: 439 (400)
[371.] PROPOSITIO IX.
Page: 440 (401)
[372.] PROPOSITIO X.
Page: 440 (401)
[373.] PROPOSITIO XI.
Page: 441 (402)
[374.] SCHOLIVM ALMOCHTASSO.
Page: 442 (403)
[375.] PROPOSITIO XII.
Page: 442 (403)
[376.] SCHOLIVM ALMOCHTASSO.
Page: 443 (404)
[377.] Notæ in Propoſit. XII.
Page: 444 (405)
[378.] PROPOSITIO XIII.
Page: 444 (405)
[379.] PROPOSITIO XIV.
Page: 445 (406)
[380.] PROPOSITIO XV.
Page: 446 (407)
[381.] Notæ in Propoſit. XV.
Page: 447 (408)
[382.] PROPOSITIO XVI.
Page: 449 (410)
[383.] PROPOSITIO XVII.
Page: 450 (411)
[384.] FINIS.
Page: 452 (413)
[385.] Illuſtriſſime, ac Reuerendiſs, Dom.
Page: 453 (414)
[386.] Reuerendiſs. Pater Domine.
Page: 453 (414)
[387.] REGISTRVM.
Page: 453 (414)
[388.] Errata in figuris.
Page: 454 (415)
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            dratorum duorum laterum figuræ eius; </s>
            <s xml:id="echoid-s12406" xml:space="preserve">igitur quadratum A C ad diffe-
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            rentiam quadratorum duorum laterum figuræ I L minorem proportionem
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            habet, in prima ellipſi, & </s>
            <s xml:id="echoid-s12407" xml:space="preserve">maiorem in reliquis, quam ad differentiam
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            quadratorum duorum laterum figuræ A C; </s>
            <s xml:id="echoid-s12408" xml:space="preserve">ergo differentia quadratorum
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            duorum laterum figuræ A C minor eſt in prima ellipſi, & </s>
            <s xml:id="echoid-s12409" xml:space="preserve">maior in cæ-
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            teris, quàm differentia quadratorum duorum laterum figuræ I L. </s>
            <s xml:id="echoid-s12410" xml:space="preserve">Præte-
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            rea M H ad H E minorem proportionem, aut maiorem habet, quàm M
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            G ad G E: </s>
            <s xml:id="echoid-s12411" xml:space="preserve">& </s>
            <s xml:id="echoid-s12412" xml:space="preserve">ponamus in ellipſi Y D æqualem D M, oſtendeturquè
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            quod M H in H A minus ſit in prima ellipſi, & </s>
            <s xml:id="echoid-s12413" xml:space="preserve">maior in cæteris, quàm
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            duarum M G, M H ſumma in earum differentiam M Y: </s>
            <s xml:id="echoid-s12414" xml:space="preserve">& </s>
            <s xml:id="echoid-s12415" xml:space="preserve">oſtendetur
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            quemadmodum dictum eſt, quod differentia quadratorum duorum late-
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            rum figuræ I L maior eſt, quàm differentia quadratorum duorum late-
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            rum figuræ P Q.</s>
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            <s xml:id="echoid-s12417" xml:space="preserve">Deinde in hyperbola ponamus I K erectum ipſius I L, erit differentia
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            quadratorum duarum I L, I K (quæ eſt æqualis K L in ſummam L I, I
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            K) maior illa, quàm I L in L K, quod eſt æquale differentiæ quadrari
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            I L, & </s>
            <s xml:id="echoid-s12418" xml:space="preserve">eius figuræ, nempe differentiæ quadrati A C, & </s>
            <s xml:id="echoid-s12419" xml:space="preserve">eius figuræ
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            (29. </s>
            <s xml:id="echoid-s12420" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s12421" xml:space="preserve">& </s>
            <s xml:id="echoid-s12422" xml:space="preserve">non eſt maior in prima, quàm duplum, & </s>
            <s xml:id="echoid-s12423" xml:space="preserve">in ſecunda ma-
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            ior duplo, & </s>
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Impressum