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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            ad Z b, & </s>
            <s xml:id="echoid-s9001" xml:space="preserve">ad Z a eſt eadem; </s>
            <s xml:id="echoid-s9002" xml:space="preserve">& </s>
            <s xml:id="echoid-s9003" xml:space="preserve">propterea Z b æqualis eſt Z a, quod eſt
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            abſurdum.</s>
            <s xml:id="echoid-s9004" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s9005" xml:space="preserve">Ponamus iam quadratum F G ad G H in G I maiorem proportionem
              <lb/>
            habere, quàm D B ad B E. </s>
            <s xml:id="echoid-s9006" xml:space="preserve">Dico in cono H F I exhiberi non poſſe ſe-
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            ctionem æqualem hyperbolæ A B. </s>
            <s xml:id="echoid-s9007" xml:space="preserve">Si enim exhiberi poſſet illius axi ali-
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            qua parallela reperiretur vt F N: </s>
            <s xml:id="echoid-s9008" xml:space="preserve">& </s>
            <s xml:id="echoid-s9009" xml:space="preserve">quadratum F N ad I N in N H ma-
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            iorem proportionem habens, quàm quadratum F G ad quadratum G H,
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            erit vt D B ad B E; </s>
            <s xml:id="echoid-s9010" xml:space="preserve">quæ minor eſt proportione quadrati F G ad qua-
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            dratum G H: </s>
            <s xml:id="echoid-s9011" xml:space="preserve">quod eſt abſurdum. </s>
            <s xml:id="echoid-s9012" xml:space="preserve">Non ergo reperitur in cono H F I ſe-
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            ctio æqualis hyperbolæ A B. </s>
            <s xml:id="echoid-s9013" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head299" xml:space="preserve">PROPOSITIO XXVIII.</head>
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            erectus illius B E, & </s>
            <s xml:id="echoid-s9017" xml:space="preserve">circa coni triangulum H F I deſcri-
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                <image file="0278-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0278-02"/>
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