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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            ergo A F minor eſt, quàm I K, & </s>
            <s xml:id="echoid-s11262" xml:space="preserve">I K minor quàm P R. </s>
            <s xml:id="echoid-s11263" xml:space="preserve">Si verò A C
              <lb/>
              <note position="right" xlink:label="note-0353-01" xlink:href="note-0353-01a" xml:space="preserve">21. huins.</note>
            maior eſt, quàm A F eſſet I L maior, quàm I K: </s>
            <s xml:id="echoid-s11264" xml:space="preserve">& </s>
            <s xml:id="echoid-s11265" xml:space="preserve">I L ad I K mino-
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            rem proportionem habebit, quàm A C ad A F (28. </s>
            <s xml:id="echoid-s11266" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11267" xml:space="preserve">& </s>
            <s xml:id="echoid-s11268" xml:space="preserve">I L ma-
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            ior eſt quàm A C; </s>
            <s xml:id="echoid-s11269" xml:space="preserve">igitur A F minor eſt, quàm I K: </s>
            <s xml:id="echoid-s11270" xml:space="preserve">atquè ſimiliter pa-
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            tebit I K minorem eſſe quàm P R, & </s>
            <s xml:id="echoid-s11271" xml:space="preserve">P R, quàm S Z.</s>
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          <head xml:id="echoid-head374" xml:space="preserve">PROPOSITIO XXXIV.</head>
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            <s xml:id="echoid-s11273" xml:space="preserve">D Einde ſit A C minor, quàm A F, dummodò minor non ſit dimi-
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            dio eius: </s>
            <s xml:id="echoid-s11274" xml:space="preserve">& </s>
            <s xml:id="echoid-s11275" xml:space="preserve">ſecentur duæ præſectæ A H, C G, quæ erunt æqua-
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            les; </s>
            <s xml:id="echoid-s11276" xml:space="preserve">pariterque A G, C H interceptæ æquales; </s>
            <s xml:id="echoid-s11277" xml:space="preserve">ponaturque linea γ æqua-
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            lis ſummæ G E, G A. </s>
            <s xml:id="echoid-s11278" xml:space="preserve">Et quia A G non eſt maior duplo A H, & </s>
            <s xml:id="echoid-s11279" xml:space="preserve">γ maior
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            eſt duplo A G, erit γ in A H maius, quàm quadratũ A G; </s>
            <s xml:id="echoid-s11280" xml:space="preserve">igitur γ in A
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            E ad γ in A H, nempe E A ad A H minorem proportionẽ habebit, quã
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            γ in A E ad quadratum A G; </s>
            <s xml:id="echoid-s11281" xml:space="preserve">ideoquè E H ad H A, nẽpe E H in H A ad
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            quadratum A H minorẽ proportionẽ habebit, quàm γ, ſeu eidem æqules
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            E G, G A in A E, cum quadrato A G (quæ ſunt æqualia quadrato G E)
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            ad quadratum A G; </s>
            <s xml:id="echoid-s11282" xml:space="preserve">ergo E H in H A ad quadratum E G, ſeu (vt
              <lb/>
            oſtenſum eſt in 15. </s>
            <s xml:id="echoid-s11283" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11284" xml:space="preserve">quadratum A C ad quadratum I K minorem
              <lb/>
            proportionem habebit, quàm quadratum A H ad quadratũ A G, ſeu quã
              <lb/>
            quadratum A C ad quadratum A F. </s>
            <s xml:id="echoid-s11285" xml:space="preserve">Igitur A C ad I K minorem pro-
              <lb/>
            portionem habet, quàm ad A F; </s>
            <s xml:id="echoid-s11286" xml:space="preserve">& </s>
            <s xml:id="echoid-s11287" xml:space="preserve">propterea A F minor eſt quàm I K.</s>
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