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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[101.] PROPOSITIO LXXII.
Page: 115 (77)
[102.] MONITVM.
Page: 116 (78)
[103.] LEMMA IX.
Page: 116 (78)
[104.] LEMMA X.
Page: 116 (78)
[105.] LEMMA XI.
Page: 117 (79)
[106.] Notæ in Propoſ. LXIV. & LXV.
Page: 117 (79)
[107.] Notæ in Propoſ. LXVI.
Page: 120 (82)
[108.] Ex demonſtratione præmiſſa propoſitionum 64. & 65. deduci poteſt conſectarium, à quo notæ ſubſe-quentes breuiores reddantur. COROLLARIVM PROPOSIT. LXIV. & LXV.
Page: 120 (82)
[109.] Notæ in Propoſ. LXVII.
Page: 121 (83)
[110.] COROLLARIVM PROPOSIT. LXVII.
Page: 122 (84)
[111.] Notæ in Propoſit. LXXII.
Page: 123 (85)
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
Page: 126 (88)
[113.] PROPOSITO LXXIV.
Page: 128 (90)
[114.] PROPOSITO LXXV.
Page: 128 (90)
[115.] PROPOSITIO LXXVI.
Page: 129 (91)
[116.] PROPOSITIO LXXVII.
Page: 130 (92)
[117.] Notæ in Propoſit. LXXIII.
Page: 130 (92)
[118.] LEMMA XII.
Page: 130 (92)
[119.] Notæ in Propoſ. LXXIV.
Page: 134 (96)
[120.] Notæ in Propoſit. LXXV.
Page: 135 (97)
[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)
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            ſeu axium (in hoc caſu) L B, & </s>
            <s xml:id="echoid-s7738" xml:space="preserve">M E ſiguræ ſimiles inter ſe; </s>
            <s xml:id="echoid-s7739" xml:space="preserve">& </s>
            <s xml:id="echoid-s7740" xml:space="preserve">ideò ſectiones
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              <note position="left" xlink:label="note-0244-01" xlink:href="note-0244-01a" xml:space="preserve">ex 11. 12.
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            A B C, & </s>
            <s xml:id="echoid-s7741" xml:space="preserve">D E F ſimiles erunt.</s>
            <s xml:id="echoid-s7742" xml:space="preserve"/>
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            <s xml:id="echoid-s7743" xml:space="preserve">Itaque propter ſimilitudinem duorum ſegmẽtorum ſimlia erunt B N L,
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            E O M, & </s>
            <s xml:id="echoid-s7744" xml:space="preserve">pariter L B P, & </s>
            <s xml:id="echoid-s7745" xml:space="preserve">M E Q atque quadratum B P ad L P in P
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            N nempe, &</s>
            <s xml:id="echoid-s7746" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7747" xml:space="preserve">Huius ſecundæ partis demonſtrationem, quàm non ſinceram Pa-
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            raphraſtes Arabicus nobis tranſmiſit omittere opere pretium erit, eandemq; </s>
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            uius demonſtrare hac ratione. </s>
            <s xml:id="echoid-s7749" xml:space="preserve">Quia ſegmenta C B G, & </s>
            <s xml:id="echoid-s7750" xml:space="preserve">F E H ſimilia ponun-
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            tur; </s>
            <s xml:id="echoid-s7751" xml:space="preserve">ergo erunt figuræ diametrorum B I, E K ſimiles inter ſe in angulis I, K
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              <note position="left" xlink:label="note-0244-03" xlink:href="note-0244-03a" xml:space="preserve">Lem. 8.
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            æqualibus, & </s>
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            <s xml:id="echoid-s7753" xml:space="preserve">F E H ſimiles inter ſe erunt; </s>
            <s xml:id="echoid-s7754" xml:space="preserve">quod eſt
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          <head xml:id="echoid-head291" xml:space="preserve">Notæ in Propoſit. XXIII.</head>
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            <s xml:id="echoid-s7756" xml:space="preserve">SI enim ſimilia eſſent haberent conditiones ſimilitudinis, quod eſt im-
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            poſſibile, &</s>
            <s xml:id="echoid-s7757" xml:space="preserve">c. </s>
            <s xml:id="echoid-s7758" xml:space="preserve">Si enim concedantur ſegmenta G B C in parabola, & </s>
            <s xml:id="echoid-s7759" xml:space="preserve">H E
              <lb/>
            F in hyperbole, vel ellipſi, ſimilia inter ſe; </s>
            <s xml:id="echoid-s7760" xml:space="preserve">igitur in vnaquaque earũ duci poſ-
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              <note position="left" xlink:label="note-0244-06" xlink:href="note-0244-06a" xml:space="preserve">Defin. 7.
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              huius.</note>
            ſent ad diametros ordinatim applicatæ numero æquales, efficientes angulos æqua-
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