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-s11595" xml:space="preserve">Et primo rectangulum ſub O D E in E H æquale ſit quadrato D E, ergo
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            ad hæc duo ſpatia æqualia eandem proportionem habebit idem rectangulum ſub
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            E D O in O E, ſed vt rectangulum ſub E D O in O E ad rectangulum ſub E
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            D O in E H, ita eſt O E ad E H, (propterea quod æquales altitudines ha-
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            bent), igitur vt O E ad E H, ita eſt rectangulum ſub E D O in O E ad
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            quadratum D E, & </s>
            <s xml:id="echoid-s11596" xml:space="preserve">componendo O H ad E H, ſiue rectangulum O H A ad
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            rectangulum E H A eandem proportionẽ habebit, quàm rectangulum ſub E D
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            O in O E vna cum quadrato D E, ſeu quàm quadratum D O ad quadratum
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            D E, vel potius vt quadratum ex dupla D O ad quadratum ex dupla D E,
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            nempe vt quadratum ex G O H ad quadratum ex G E H, quare permutando
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            rectangulum O H A ad quadratum ex G O H eandem proportionem habebit,
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            quàm rectangulum ex E H A ad quadratum ex G E H, ſeu vt quadratum ex
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              huius.
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              Ibidem.</note>
            A C ad quadratum ex C A F, vel ex L I K; </s>
            <s xml:id="echoid-s11597" xml:space="preserve">ſed vt rectangulum A H O ad
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            quadratum ex G O H, ita eſt quadratum ex A C ad quadratum ex Q P R:
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            <s xml:id="echoid-s11598" xml:space="preserve">quare idem quadratum A C eandem proportionem habet ad quadratum ex Q P
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            R, quàm ad quadratum ex C A F, vel ex I R L, & </s>
            <s xml:id="echoid-s11599" xml:space="preserve">propterea quadrata ipſa
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            <s xml:id="echoid-s11600" xml:space="preserve">ſumma laterum Q P R æqualis eſt ſummæ laterum C A F,
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            vel I L K.</s>
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            <s xml:id="echoid-s11602" xml:space="preserve">Secundo ſit rectangulũ ſub E D O in E H maius quadrato D E, tunc quidem
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            idem rectangulum ſub E D O in O E ad rectangulum ſub O D E in E H mi-
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            norem proportionẽ habebit, quàm ad quadratum ex D E, ſeu O E ad E H mi-
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            norem proportionem habebit, quàm ad quadratum ex D E; </s>
            <s xml:id="echoid-s11603" xml:space="preserve">& </s>
            <s xml:id="echoid-s11604" xml:space="preserve">componendo
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            tando, & </s>
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            <s xml:id="echoid-s11607" xml:space="preserve">huius, idem quadratum A C ad quadratum ex Q P R mi-
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            norem proportionem habebit, quàm ad quadratum ex C A F, vel ex L I K,
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            & </s>
            <s xml:id="echoid-s11608" xml:space="preserve">propterea ſumma Q P R maior erit, quàm C A F, ſeu quàm L I K.</s>
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          <p style="it">
            <s xml:id="echoid-s11610" xml:space="preserve">Tertio ſit rectangulum ſub E D O in E H minus quadrato D E, patet quod
              <lb/>
            idem rectangulum ſub E D O in O E ad rectangulum ſub E D O in E H, ſeu
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            O E ad E H maiorem proportionem habet, quàm ad quadratum D E, & </s>
            <s xml:id="echoid-s11611" xml:space="preserve">com-
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            ponendo ductis prioribus terminis in A H, quadruplicando poſtrema </s>
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