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.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
[131.] Notæ in Propoſit. XVI. XVII. XVIII.
Page: 152 (114)
[132.] SECTIO DECIMASEPTIMA Continens XIX. XX. XXI. XXII. XXIII. XXIV. & XXV. Propoſ. Apollonij. PROPOSITIO XIX.
Page: 154 (116)
[133.] PROPOSITIO XX. XXI. & XXII.
Page: 155 (117)
[134.] PROPOSITIO XXIII. & XXIV.
Page: 156 (118)
[135.] PROPOSITIO XXV.
Page: 157 (119)
[136.] Notæ in Propoſit. XIX.
Page: 157 (119)
[137.] Notæ in Propoſit. XX. XXI. XXII.
Page: 158 (120)
[138.] Notæ in Propoſ. XXIII. XXIV.
Page: 161 (123)
[139.] Notæ in Propoſ. XXXV.
Page: 161 (123)
[140.] SECTIO DECIMAOCTAVA Continens XXXII. XXXIII. XXXIV. XXXV. XXXVI. XXXVII. XXXVIII. XXXIX. XXXX. XXXXVII. XXXXVIII. Propoſit. Apollonij. PROPOSITIO XXXII.
Page: 162 (124)
[141.] PROPOSITIO XXXIII. XXXIV.
Page: 163 (125)
[142.] PROPOSITIO XXXV.
Page: 163 (125)
[143.] PROPOSITIO XXXVI.
Page: 164 (126)
[144.] PROPOSITIO XXXVII. XLVI.
Page: 164 (126)
[145.] PROPOSITIO XXXVIII.
Page: 165 (127)
[146.] PR OPOSITIO XXXIX.
Page: 166 (128)
[147.] PROPOSITIO XXXX.
Page: 166 (128)
[148.] PROPOSITIO XXXXVII.
Page: 166 (128)
[149.] PROPOSITIO XXXXVIII.
Page: 167 (129)
[150.] Notæ in Propoſit. XXXII.
Page: 167 (129)
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          <figure number="112">
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            <s xml:id="echoid-s3734" xml:space="preserve">Quoniam I K, H M ſunt duæ breuiſſimæ conſtat, quod E I maximus
              <lb/>
              <note position="left" xlink:label="note-0129-01" xlink:href="note-0129-01a" xml:space="preserve">b</note>
            ſit ramorum cadentium ad illam ſectionem (72. </s>
            <s xml:id="echoid-s3735" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3736" xml:space="preserve">& </s>
            <s xml:id="echoid-s3737" xml:space="preserve">propinquior
              <lb/>
            illi maior eſt remotiore: </s>
            <s xml:id="echoid-s3738" xml:space="preserve">nec non; </s>
            <s xml:id="echoid-s3739" xml:space="preserve">quia H M, G N ſunt duæ breuiſſimæ
              <lb/>
              <note position="left" xlink:label="note-0129-02" xlink:href="note-0129-02a" xml:space="preserve">c</note>
              <note position="right" xlink:label="note-0129-03" xlink:href="note-0129-03a" xml:space="preserve">74. huius.</note>
            conſtat, vt dictum eſt, quod G E ſit maximus ramorum cadentium vtrin-
              <lb/>
            que ad ſectionẽ A H. </s>
            <s xml:id="echoid-s3740" xml:space="preserve">Dico etiam, E G maiorem eſſe, quàm E I; </s>
            <s xml:id="echoid-s3741" xml:space="preserve">nam
              <lb/>
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            ſi producatur I O parallela ipſi A C, & </s>
            <s xml:id="echoid-s3742" xml:space="preserve">iungatur E O, ducanturque per-
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              <note position="right" xlink:label="note-0129-05" xlink:href="note-0129-05a" xml:space="preserve">15, huius.</note>
            pendiculares I P, O Q, G R, E F S, quia G N, I K ſunt breuiſſimæ er it
              <lb/>
            D P ad P K, quæ eſt, vt proportio figuræ, vt D R ad R N; </s>
            <s xml:id="echoid-s3743" xml:space="preserve">ergo F P
              <lb/>
            ad P K minorem proportionem habet, quàm F R ad R N, & </s>
            <s xml:id="echoid-s3744" xml:space="preserve">diuidendo
              <lb/>
            F K ad K P, nempe F E ad I P, minorem proportionem habet, quàm,
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            F N ad N R, nempe F E ad G R: </s>
            <s xml:id="echoid-s3745" xml:space="preserve">ergo F E ad I P minorem proportio-
              <lb/>
            nem habet, quàm ad G R, & </s>
            <s xml:id="echoid-s3746" xml:space="preserve">propterea G R minor eſt, quàm I P, quæ
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            eſt æqualis O Q, cuius punctum O remotior eſt à vertice, quàm G,
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            & </s>
            <s xml:id="echoid-s3747" xml:space="preserve">ideo E G maior eſt, quàm E O. </s>
            <s xml:id="echoid-s3748" xml:space="preserve">(74. </s>
            <s xml:id="echoid-s3749" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3750" xml:space="preserve">Et quia O T æqualis
              <lb/>
            eſt T I erit O S maior quàm S I, & </s>
            <s xml:id="echoid-s3751" xml:space="preserve">S E perpendicularis ad O I eſt com-
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            munis; </s>
            <s xml:id="echoid-s3752" xml:space="preserve">igitur O E maior eſt, quàm E I; </s>
            <s xml:id="echoid-s3753" xml:space="preserve">& </s>
            <s xml:id="echoid-s3754" xml:space="preserve">oſtenſa eſt E G maior, quàm
              <lb/>
            O E; </s>
            <s xml:id="echoid-s3755" xml:space="preserve">Ergo E G maior eſt, quàm E I, quod erat oſtendendum.</s>
            <s xml:id="echoid-s3756" xml:space="preserve"/>
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          <head xml:id="echoid-head158" xml:space="preserve">PROPOSITIO LXXVI.</head>
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            <s xml:id="echoid-s3757" xml:space="preserve">SI ex concurſu E in recto E B
              <lb/>
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              <note position="left" xlink:label="note-0129-06" xlink:href="note-0129-06a" xml:space="preserve">a</note>
            poſito ellipſis A B C nõ edu-
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            catur breuiſecans præter E B, qui
              <lb/>
            tranſeat per centrum; </s>
            <s xml:id="echoid-s3758" xml:space="preserve">erit E B ma-
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            ximus ramorum ſecantium ex con-
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            curſu ad ſectionem egredientium.</s>
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