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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            quadratum Q A; </s>
            <s xml:id="echoid-s9719" xml:space="preserve">ſed in hac poſtrema ſuppoſitione conceditur quadratum B Q
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            ad quadratum Q A habere maiorem proportionem, quàm H E ad E I; </s>
            <s xml:id="echoid-s9720" xml:space="preserve">igitur
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            O N ad N L maiorem proportionem habebit, quàm H E ad E I; </s>
            <s xml:id="echoid-s9721" xml:space="preserve">ſed quia co-
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            nus E R T ponitur continere ſectionem D E F: </s>
            <s xml:id="echoid-s9722" xml:space="preserve">habebit O V ad V R eandem
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            proportionem, quàm H E ad E I (vt ex 53. </s>
            <s xml:id="echoid-s9723" xml:space="preserve">primi deducitur, & </s>
            <s xml:id="echoid-s9724" xml:space="preserve">in hac pro-
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            poſitione denuò factum eſt): </s>
            <s xml:id="echoid-s9725" xml:space="preserve">igitur O N ad N L maiorem proportionem habebit
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            quàm O V ad V R; </s>
            <s xml:id="echoid-s9726" xml:space="preserve">oſtenſa autem fuit O N ad N X, vt O V ad V R; </s>
            <s xml:id="echoid-s9727" xml:space="preserve">ergo O
              <lb/>
            N ad N L maiorem proportionem habebit, quàm O N ad N X: </s>
            <s xml:id="echoid-s9728" xml:space="preserve">quod eſt abſur-
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            dum, nam N X minor eſt, quàm N L.</s>
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          <head xml:id="echoid-head311" xml:space="preserve">Notæ in Propoſit. XXXI.</head>
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            <s xml:id="echoid-s9730" xml:space="preserve">DEinde ſit ſectio elliptica A B C, & </s>
            <s xml:id="echoid-s9731" xml:space="preserve">tranſuerſa illius A C, & </s>
            <s xml:id="echoid-s9732" xml:space="preserve">erectus
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            A D, & </s>
            <s xml:id="echoid-s9733" xml:space="preserve">circunducamus ſuper A C in plano erecto ad ſectionis
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            planum A B C ſegmentum circuli, quod capiat angulum æqualem an-
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            gulo F: </s>
            <s xml:id="echoid-s9734" xml:space="preserve">&</s>
            <s xml:id="echoid-s9735" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9736" xml:space="preserve">Rurſus conus exhiberi debet ſimilis cono dato E F G, qui datam
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            ellipſim A B C contineat, ſitque axis tranſuerſus ellipſis C A, eiuſque latus
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            rectum A D.</s>
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            <s xml:id="echoid-s9738" xml:space="preserve">Quia H I in I K, quod eſt æquale ipſi C I in I A, ad quadratum I A
              <lb/>
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            eſt, vt A C ad A D, & </s>
            <s xml:id="echoid-s9739" xml:space="preserve">C I in A I ad quadratum I K nempe K N ad
              <lb/>
            N O propter ſimilitudinem duorum triangulorum, & </s>
            <s xml:id="echoid-s9740" xml:space="preserve">ex A I, nempe N
              <lb/>
            K ad I K nempe A N vt parallelas conſtituamus lineas, & </s>
            <s xml:id="echoid-s9741" xml:space="preserve">ex his dua-
              <lb/>
            bus proportionibus componitur proportio quadrati N K ad A N in N O,
              <lb/>
            &</s>
            <s xml:id="echoid-s9742" xml:space="preserve">c. </s>
            <s xml:id="echoid-s9743" xml:space="preserve">Senſus huius textus valdè corrupti hic eſt. </s>
            <s xml:id="echoid-s9744" xml:space="preserve">Quia ex conſtructione H I ad
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            I K erat vt C A ad A D, & </s>
            <s xml:id="echoid-s9745" xml:space="preserve">ſumpta communi altitudine I K, erit </s>
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