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

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[321.] In Sectionem VIII. Propoſit. XXXXIIII. XXXXV. & XXXXVI. LEMM A.X.
[322.] LEMM A XI.
[323.] LEMM A XII.
[324.] Notæ in Propoſit. XXXXIV. & XXXXV.
[325.] Notæ in Propoſit. XXXXVI.
[326.] SECTIO NONA Continens Propoſit. XXXXI. XXXXVII. & XXXXVIII.
[327.] PROPOSITIO XXXXI.
[328.] PROPOSITIO XXXXVII.
[329.] PROPOSITIO XXXXVIII.
[330.] In Sectionem IX. Propoſit. XXXXI. XXXXVII. & XXXXVIII. LEMMA. XIII.
[331.] LEMMA XIV.
[332.] LEMMA XV.
[333.] Notæ in Propoſit. XXXXI.
[334.] Notæ in Propoſit. XXXXVII.
[335.] Notæ in Propoſit. XXXXVIII.
[336.] SECTIO DECIMA Continens Propoſit. XXXXIX. XXXXX. & XXXXXI.
[337.] In Sectionem X. Propoſit. XXXXIX. XXXXX. & XXXXXI. LEMMA XVI.
[338.] LEMMA XVII.
[339.] LEMMA XVIII.
[340.] Notæ in Propoſit. XXXXIX.
[341.] Notæ in Propoſit. XXXXX.
[342.] Notæ in Propoſit. XXXXXI.
[343.] SECTIO VNDECIMA Continens Propoſit. XXXII. & XXXI. Apollonij.
[344.] Notæ in Propoſit. XXXI. & XXXII.
[345.] LIBRI SEPTIMI FINIS.
[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.
[347.] Præfatio ad Lectorem.
[348.] MISERICORDIS MISERATORIS CVIVS OPEM IMPLORAMVS. LIBER ASSVMPTORVM ARCHIMEDIS, INTERPRETE THEBIT BEN-KORA, Et exponente Doctore ALMOCHTASSO ABILHASAN, Halì Ben-Ahmad Noſuenſi. PROPOSITIONES SEXDECIM.
[349.] PROPOSITIO I.
[350.] SCHOLIVM ALMOCHTASSO.
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          <head xml:id="echoid-head345" xml:space="preserve">Notæ in Propoſit. XVI.</head>
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            <s xml:id="echoid-s10573" xml:space="preserve">SIue ad quadratum ex recta linea æquali ſummæ duarum I L, & </s>
            <s xml:id="echoid-s10574" xml:space="preserve">I P
              <lb/>
              <note position="left" xlink:label="note-0327-01" xlink:href="note-0327-01a" xml:space="preserve">h</note>
            erit, vt C G in H E ad quadratum ex recta linea compoſita ex H E,
              <lb/>
            E G, &</s>
            <s xml:id="echoid-s10575" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10576" xml:space="preserve">Quia I L ad I P erat vt H E ad E G comparando, antecedentes ad
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            ſummas terminorum, erit I L ad I L, & </s>
            <s xml:id="echoid-s10577" xml:space="preserve">I P ſimul ſumptas, vt H E ad H E,
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            & </s>
            <s xml:id="echoid-s10578" xml:space="preserve">E G ſimul ſumptas, & </s>
            <s xml:id="echoid-s10579" xml:space="preserve">quadratum I L ad quadratum ex ſumma ipſarum
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            I L, & </s>
            <s xml:id="echoid-s10580" xml:space="preserve">I P deſcriptum, erit vt quadratum H E ad quadratum ex ſumma
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            duarum H E, & </s>
            <s xml:id="echoid-s10581" xml:space="preserve">E G deſcriptum; </s>
            <s xml:id="echoid-s10582" xml:space="preserve">& </s>
            <s xml:id="echoid-s10583" xml:space="preserve">erat prius quadratum A C ad quadra-
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            tum I L, vt rectangulum A H E ad quadratum H E; </s>
            <s xml:id="echoid-s10584" xml:space="preserve">igitur ex æqualitate
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            quadratum A C ad quadratum ex ſumma ipſarum I L, & </s>
            <s xml:id="echoid-s10585" xml:space="preserve">I P deſcriptum eã-
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            dem proportionem habebit, quàm rectangulum A H E ad quadratum ex ſumma
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            ipſarum H E, & </s>
            <s xml:id="echoid-s10586" xml:space="preserve">E G deſcriptum.</s>
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          <head xml:id="echoid-head346" xml:space="preserve">Notæ in Propoſit. XVIII.</head>
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            <s xml:id="echoid-s10588" xml:space="preserve">SIue ad I L in I P erit, vt C G in G E, &</s>
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            <s xml:id="echoid-s10590" xml:space="preserve">Quia I L ad I P eſt vt H
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            E ad G E poſitis communibus altitudinibus I L, H E habebit quadratum
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            I L ad rectangulum ſub I L, & </s>
            <s xml:id="echoid-s10591" xml:space="preserve">I P eandem proportionem, quàm quadratum
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            H E ad rectangulum H E G: </s>
            <s xml:id="echoid-s10592" xml:space="preserve">ſed quadratum A C ad quadratum I L eandem
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            proportionem habebat, quàm rectangulum A H E ad quadratum H E; </s>
            <s xml:id="echoid-s10593" xml:space="preserve">ergo ex
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            æqualitate quadratum A C ad rectangulum L I P eandem proportionem habebit
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            quàm rectangulum A H E ad rectangulum H E G, ſeu vt A H, vel C G ad
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            G E.</s>
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