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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[121.] Notæ in Propoſ. LXXVI.
[122.] Notæ in Propoſit. LXXVII.
[123.] COROLLARIVM.
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
[125.] PROPOSITO XXXXII.
[126.] PROPOSITIO XXXXIII.
[127.] Notæ in Propoſ. XXXXI.
[128.] Notæ in Propoſ. XXXXII.
[129.] Notæ in Propoſit. XXXXIII.
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
[133.] PROPOSITIO XX. XXI. & XXII.
[134.] PROPOSITIO XXIII. & XXIV.
[135.] PROPOSITIO XXV.
[136.] Notæ in Propoſit. XIX.
[137.] Notæ in Propoſit. XX. XXI. XXII.
[138.] Notæ in Propoſ. XXIII. XXIV.
[139.] Notæ in Propoſ. XXXV.
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
[141.] PROPOSITIO XXXIII. XXXIV.
[142.] PROPOSITIO XXXV.
[143.] PROPOSITIO XXXVI.
[144.] PROPOSITIO XXXVII. XLVI.
[145.] PROPOSITIO XXXVIII.
[146.] PR OPOSITIO XXXIX.
[147.] PROPOSITIO XXXX.
[148.] PROPOSITIO XXXXVII.
[149.] PROPOSITIO XXXXVIII.
[150.] Notæ in Propoſit. XXXII.
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          <head xml:id="echoid-head284" xml:space="preserve">PROPOSITIO XXI.</head>
          <p>
            <s xml:id="echoid-s7376" xml:space="preserve">SInt poſtea duæ illæ ſectiones hyperbolicæ, & </s>
            <s xml:id="echoid-s7377" xml:space="preserve">ellipticæ ſi-
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            miles, & </s>
            <s xml:id="echoid-s7378" xml:space="preserve">earum centra T, X (remanentibus lineis, & </s>
            <s xml:id="echoid-s7379" xml:space="preserve">ſi-
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            gnis, vt prius) & </s>
            <s xml:id="echoid-s7380" xml:space="preserve">ducantur duæ contingentes V e, & </s>
            <s xml:id="echoid-s7381" xml:space="preserve">Y f.</s>
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            <s xml:id="echoid-s7383" xml:space="preserve">Quoniam B G ad B I ſuppoſita eſt, vt H E ad E K, & </s>
            <s xml:id="echoid-s7384" xml:space="preserve">pariter G B ad
              <lb/>
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            B L, vt H E ad E M; </s>
            <s xml:id="echoid-s7385" xml:space="preserve">ergo ex æqualitate, & </s>
            <s xml:id="echoid-s7386" xml:space="preserve">per conuerſionem rationis
              <lb/>
            B L ad L I eſt vt E M ad M K; </s>
            <s xml:id="echoid-s7387" xml:space="preserve">& </s>
            <s xml:id="echoid-s7388" xml:space="preserve">propter ſimilitudinem duarum ſectio-
              <lb/>
              <note position="left" xlink:label="note-0233-02" xlink:href="note-0233-02a" xml:space="preserve">b</note>
            num N L ad A I nempe L O ad O I eſt, vt M P ad D K, nempe M Q
              <lb/>
            ad Q K, & </s>
            <s xml:id="echoid-s7389" xml:space="preserve">antecedentes ad ſummas vel differentias terminorum, ſcilicet
              <lb/>
              <note position="right" xlink:label="note-0233-03" xlink:href="note-0233-03a" xml:space="preserve">Lem. 1.
                <lb/>
              lib. 5.</note>
            O L ad L I eandem proportionem habebit, quàm Q M ad M K, & </s>
            <s xml:id="echoid-s7390" xml:space="preserve">ex
              <lb/>
              <note position="left" xlink:label="note-0233-04" xlink:href="note-0233-04a" xml:space="preserve">c</note>
            æqualitate O L ad L B erit, vt Q M ad M E, ſed B L ad L N eſt, vt E
              <lb/>
            M ad M P, cum ex ſuppoſitione ſectiones ſint ſimiles; </s>
            <s xml:id="echoid-s7391" xml:space="preserve">ergo O L ad L N
              <lb/>
            eſt, vt Q M ad M P; </s>
            <s xml:id="echoid-s7392" xml:space="preserve">ſuntque L, M duo anguli recti: </s>
            <s xml:id="echoid-s7393" xml:space="preserve">ergo anguli O, </s>
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