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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[201.] COROLLARIVM I.
Page: 199 (161)
[202.] COROLLARIVM II.
Page: 199 (161)
[203.] Notæ in Propoſit. XI.
Page: 203 (165)
[204.] Notæ in Propoſit. XII.
Page: 204 (166)
[205.] Notæ in Propoſit. XIII.
Page: 205 (167)
[206.] Notæ in Propoſit. XIV.
Page: 206 (168)
[207.] SECTIO QVINTA Continens ſex Propoſitiones Præmiſſas, PROPOSITIO I. II. III. IV. & V.
Page: 206 (168)
[208.] PROPOSITIO Præmiſſa VI.
Page: 209 (171)
[209.] Notæ in Propoſit. Præmiſſas I. II. III. IV. & V.
Page: 209 (171)
[210.] Notæ in Propoſit. Præmiſſ. VI.
Page: 212 (174)
[211.] SECTIO SEXTA Continens Propoſit. XV. XVI. & XVII. PROPOSITIO XV.
Page: 213 (175)
[212.] PROPOSITIO XVI.
Page: 215 (177)
[213.] PROPOSITIO XVII.
Page: 216 (178)
[214.] Notæ in Propoſit. XV.
Page: 219 (181)
[215.] MONITVM.
Page: 221 (183)
[216.] LEMMA VI.
Page: 221 (183)
[217.] LEMMA VII.
Page: 222 (184)
[218.] LEMMA VIII.
Page: 224 (186)
[219.] Notæ in Propoſit. XVI.
Page: 225 (187)
[220.] Notæ in Propoſit. XVII.
Page: 226 (188)
[221.] SECTIO SEPTIMA Continens Propoſit. XVIII. & XIX.
Page: 229 (191)
[222.] Notæ in Propoſit. XVIII. & XIX.
Page: 230 (192)
[223.] SECTIO OCTAVA Continens Propoſit. XX. & XXI. Apollonij. PROPOSITIO XX.
Page: 231 (193)
[224.] PROPOSITIO XXI.
Page: 233 (195)
[225.] PROPOSITIO XXII.
Page: 235 (197)
[226.] PROPOSITIO XXIII.
Page: 236 (198)
[227.] PROPOSITIO XXIV.
Page: 236 (198)
[228.] Notæ in Propoſit. XX.
Page: 237 (199)
[229.] Notæ in Propoſit. XXI.
Page: 241 (203)
[230.] Notæ in Propoſit. XXII.
Page: 243 (205)
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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>
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            gnis, vt prius) & </s>
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            <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
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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
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            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-
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            num N L ad A I nempe L O ad O I eſt, vt M P ad D K, nempe M Q
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            ad Q K, & </s>
            <s xml:id="echoid-s7389" xml:space="preserve">antecedentes ad ſummas vel differentias terminorum, ſcilicet
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              lib. 5.</note>
            O L ad L I eandem proportionem habebit, quàm Q M ad M K, & </s>
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            æqualitate O L ad L B erit, vt Q M ad M E, ſed B L ad L N eſt, vt E
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            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
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            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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