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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          <head xml:id="echoid-head73" xml:space="preserve">PROPOSITIO IX. & X.</head>
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            <s xml:id="echoid-s1247" xml:space="preserve">AT in hyper-
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              <note position="right" xlink:label="note-0056-01" xlink:href="note-0056-01a" xml:space="preserve">g</note>
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            bola (10.)
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            </s>
            <s xml:id="echoid-s1248" xml:space="preserve">& </s>
            <s xml:id="echoid-s1249" xml:space="preserve">ellipſi educa-
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            mus rectas lineas,
              <lb/>
            G F quidem ſecã-
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            tem A D in a, & </s>
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              <lb/>
            N H occurrẽtem
              <lb/>
            F G in S, & </s>
            <s xml:id="echoid-s1251" xml:space="preserve">I S
              <lb/>
            ſecantem C G in
              <lb/>
            T, pariterque M
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            Q ſecantem F G
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            in m, & </s>
            <s xml:id="echoid-s1252" xml:space="preserve">I T in X,
              <lb/>
            & </s>
            <s xml:id="echoid-s1253" xml:space="preserve">ex punctis m, S,
              <lb/>
            x educamus inter
              <lb/>
            N S, M X rectas
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            m y, X n, S Z pa-
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            rallelas ipſi C I. </s>
            <s xml:id="echoid-s1254" xml:space="preserve">
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            Et quia C F ad C
              <lb/>
            G, nempe F H ad
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            H S poſita eſt, vt
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            F H ad H I erit H I æqualis H S; </s>
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              <lb/>
              <note position="right" xlink:label="note-0056-02" xlink:href="note-0056-02a" xml:space="preserve">h</note>
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            quadratum igitur I H eſt æquale
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            duplo trianguli I H S, & </s>
            <s xml:id="echoid-s1256" xml:space="preserve">quadra-
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            tum N H ęquale eſt duplo trape-
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            zij H G; </s>
            <s xml:id="echoid-s1257" xml:space="preserve">quare quadratum N I
              <lb/>
              <note position="left" xlink:label="note-0056-03" xlink:href="note-0056-03a" xml:space="preserve">Prop. I. h.</note>
            æquale eſt duplo trapezij I G;
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            <s xml:id="echoid-s1258" xml:space="preserve">ſimiliter quadratum I Q ęquale eſt
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            duplo trianguli I Q X, & </s>
            <s xml:id="echoid-s1259" xml:space="preserve">quadra-
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            tum M Q eſt æquale duplo trape-
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            zij Q G; </s>
            <s xml:id="echoid-s1260" xml:space="preserve">itaque quadratum ex I M
              <lb/>
            æquale eſt duplo trapezij I G cum
              <lb/>
            duplo trianguli m S X, quod eſt æ-
              <lb/>
            quale plano m n: </s>
            <s xml:id="echoid-s1261" xml:space="preserve">Et C F ad C G,
              <lb/>
            nempe proportio figuræ eſt, vt S Z,
              <lb/>
            nempe Z X ad Z m (& </s>
            <s xml:id="echoid-s1262" xml:space="preserve">hoc quidem
              <lb/>
            propter ſimilitudinem triangulorũ)
              <lb/>
            quare comparãdo priores ad ſum-
              <lb/>
              <note position="left" xlink:label="note-0056-05" xlink:href="note-0056-05a" xml:space="preserve">Lem. 1. h.</note>
            mas terminorum in hyperbola, & </s>
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              <note position="right" xlink:label="note-0056-06" xlink:href="note-0056-06a" xml:space="preserve">k</note>
            ad eorundem differentias in ellipſi
              <lb/>
            fiet X Z (quæ eſt æqualis ipſi X n)
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            ad X m, vt proportio inclinati, ſiue
              <lb/>
              <note position="right" xlink:label="note-0056-07" xlink:href="note-0056-07a" xml:space="preserve">l</note>
            tranſuerſæ ad latitudinem figuræ
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            comparatæ; </s>
            <s xml:id="echoid-s1264" xml:space="preserve">igitur planum m n eſt exemplar, eſtque applicatum ad X n,
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              <note position="left" xlink:label="note-0056-08" xlink:href="note-0056-08a" xml:space="preserve">Def 9.</note>
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