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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[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)
[341.] Notæ in Propoſit. XXXXX.
Page: 406 (367)
[342.] Notæ in Propoſit. XXXXXI.
Page: 406 (367)
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
Page: 409 (370)
[344.] Notæ in Propoſit. XXXI. & XXXII.
Page: 411 (372)
[345.] LIBRI SEPTIMI FINIS.
Page: 413 (374)
[346.] LIBER ASSVMPTORVM INTERPRETE THEBIT BEN-KORA EXPONENTE AL MOCHT ASSO Ex Codice Arabico manuſcripto SERENISS. MAGNI DV CIS ETRVRIÆ, ABRAHAMVS ECCHELLENSIS Latinè vertit. IO: ALFONSVS BORELLVS Notis Illuſtrauit.
Page: 416
[347.] Præfatio ad Lectorem.
Page: 418 (379)
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
Page: 424 (385)
[349.] PROPOSITIO I.
Page: 425 (386)
[350.] SCHOLIVM ALMOCHTASSO.
Page: 425 (386)
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            <s xml:id="echoid-s11178" xml:space="preserve">Q Via A C ad Q R maiorem pro-
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              <note position="right" xlink:label="note-0350-01" xlink:href="note-0350-01a" xml:space="preserve">g</note>
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            portionem habet, quàm I L
              <lb/>
            ad N O poſt cõuerſionem
              <lb/>
            rationis, & </s>
            <s xml:id="echoid-s11179" xml:space="preserve">permutationem A C ma-
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            ior ad I L, minorem, habebit pro-
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            portionem minorem, quàm exceſſus
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            A C ſuper Q R ad exceſſum I L ſu-
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            per N O, &</s>
            <s xml:id="echoid-s11180" xml:space="preserve">c. </s>
            <s xml:id="echoid-s11181" xml:space="preserve">Hoc quidem verum
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            eſt in ellipſi, (veluti dictum eſt ad
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            propoſ. </s>
            <s xml:id="echoid-s11182" xml:space="preserve">28. </s>
            <s xml:id="echoid-s11183" xml:space="preserve">huius) quandò maior axis
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            eſt A C, ſed quandò A C eſt minor,
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            atque A C ad Q R minorem proportio-
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            nem habet, quàm I L ad N O, opere
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            prætium erit, demonſtrare, quod tunc
              <lb/>
            etiam differentia axium A C, & </s>
            <s xml:id="echoid-s11184" xml:space="preserve">Q R
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            maior ſit differentia diametrorum I L,
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            & </s>
            <s xml:id="echoid-s11185" xml:space="preserve">N O. </s>
            <s xml:id="echoid-s11186" xml:space="preserve">Quoniam exiſtente C A mi-
              <lb/>
            nore, quàm Q R (ex 28. </s>
            <s xml:id="echoid-s11187" xml:space="preserve">huius) A C
              <lb/>
            ad Q R minorem proportionem habet,
              <lb/>
            quàm I L ad N O; </s>
            <s xml:id="echoid-s11188" xml:space="preserve">& </s>
            <s xml:id="echoid-s11189" xml:space="preserve">inuertendo Q R
              <lb/>
            ad A C maiorem proportionem habebit,
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            qu àm N O ad I L, & </s>
            <s xml:id="echoid-s11190" xml:space="preserve">per conuerſioné
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            rationis Q R ad differentiam ipſarum
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            Q R, & </s>
            <s xml:id="echoid-s11191" xml:space="preserve">A C minorem proportionem
              <lb/>
            habebit, quàm N O ad differentiam ipſarum N O, & </s>
            <s xml:id="echoid-s11192" xml:space="preserve">I L; </s>
            <s xml:id="echoid-s11193" xml:space="preserve">& </s>
            <s xml:id="echoid-s11194" xml:space="preserve">permutando Q
              <lb/>
            R maior ad minorem N O habebit proportionem minorem, quàm differentia
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            ipſarum Q R, & </s>
            <s xml:id="echoid-s11195" xml:space="preserve">A C ad differentiam ipſarum N O, & </s>
            <s xml:id="echoid-s11196" xml:space="preserve">I L: </s>
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            <s xml:id="echoid-s11198" xml:space="preserve">propterea
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            differentia ipſarum Q R, & </s>
            <s xml:id="echoid-s11199" xml:space="preserve">A C maior erit, quàm differentia ipſarum N O,
              <lb/>
            & </s>
            <s xml:id="echoid-s11200" xml:space="preserve">I L.</s>
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            <s xml:id="echoid-s11202" xml:space="preserve">Poſtea quandò C A eſt maior axis, tunc I L ad N O maiorem proportionem
              <lb/>
              <note position="left" xlink:label="note-0350-02" xlink:href="note-0350-02a" xml:space="preserve">28. huius.</note>
            habet, quàm S T ad V X; </s>
            <s xml:id="echoid-s11203" xml:space="preserve">& </s>
            <s xml:id="echoid-s11204" xml:space="preserve">ſimiliter per conuerſionem rationis, & </s>
            <s xml:id="echoid-s11205" xml:space="preserve">permu-
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            tando maior I L ad minorem S D habebit minorem proportionem, quàm diffe-
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            rentia coniugatarum diametrorum I L, & </s>
            <s xml:id="echoid-s11206" xml:space="preserve">N O ad differentiam coniugatarum
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            S T, & </s>
            <s xml:id="echoid-s11207" xml:space="preserve">V X, quapropter axi propinquiorum diametrorum I L, & </s>
            <s xml:id="echoid-s11208" xml:space="preserve">N O diffe-
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            rentia maior erit, quàm remotiorum coniugatarum S T, & </s>
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            <s xml:id="echoid-s11211" xml:space="preserve">E contra quandò C A eſt axis minor idem concludetur, vti paulo ante fa-
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            ctum eſt.</s>
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