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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            vel hyperbolæ, nec habent baſes, à quibus circumſcribantur, igitur in ſectionibus
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            ſimilibus A B, & </s>
            <s xml:id="echoid-s6398" xml:space="preserve">G F homolegæ axium abſciſſæ B C, F H non ſupponuntur iam
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            <s xml:id="echoid-s6399" xml:space="preserve">determinatæ; </s>
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            <s xml:id="echoid-s6401" xml:space="preserve">habere poſ-
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            ſunt eandem, & </s>
            <s xml:id="echoid-s6402" xml:space="preserve">non eandem proportionem ad conterminas potentiales; </s>
            <s xml:id="echoid-s6403" xml:space="preserve">& </s>
            <s xml:id="echoid-s6404" xml:space="preserve">ideo
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            ad vitandam incertitudinem adiungi debet determinatio, quod prædictæ homo-
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            logæ abſcißæ B C, F H proportionales ſint lateribus rectis B D, F I, at in ſeg-
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            mentis, ſeu portionibus ſectionum conicarum ſimilium inutilis omnino eßet illa
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            determinatio. </s>
            <s xml:id="echoid-s6405" xml:space="preserve">An verò hæc mea ſententia omninò reijci debeat alijs iudicandũ
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          <head xml:id="echoid-head257" xml:space="preserve">Notæ in Propoſit. XI.</head>
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            <s xml:id="echoid-s6407" xml:space="preserve">CVmque B C ad B L poſita ſit vt H F ad F N, &</s>
            <s xml:id="echoid-s6408" xml:space="preserve">c. </s>
            <s xml:id="echoid-s6409" xml:space="preserve">Quia inuertendo
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            D B ad B C eandem proportionem habet quàm I F ad F H, & </s>
            <s xml:id="echoid-s6410" xml:space="preserve">C B ad B
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            L eſt vt H F ad F N; </s>
            <s xml:id="echoid-s6411" xml:space="preserve">ergo ex æquali ordinata D B ad B L eandem proportio-
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            nem habebit, quàm I F ad F N; </s>
            <s xml:id="echoid-s6412" xml:space="preserve">eſtque ordinatim applicata Q L media pro.
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            portionatis inter abſciſſam B L, & </s>
            <s xml:id="echoid-s6414" xml:space="preserve">latus rectum B D ( cum in parabola quadra-
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            tum Q L æquale ſit rectangulo L B D ) pariterque X N media proportionalis eſt
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              <note position="right" xlink:label="note-0203-02" xlink:href="note-0203-02a" xml:space="preserve">11. lib. I.</note>
            inter F N, & </s>
            <s xml:id="echoid-s6415" xml:space="preserve">I F; </s>
            <s xml:id="echoid-s6416" xml:space="preserve">ergo Q L ad L B eſt vt X N ad N F, & </s>
            <s xml:id="echoid-s6417" xml:space="preserve">antecedentium,
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            duplæ, ſcilicet Q R ad L B, atque X r
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            ad N F in eadem ratione erunt. </s>
            <s xml:id="echoid-s6418" xml:space="preserve">Non
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            ſecus oſtendetur O P ad K B vt T V ad M F.</s>
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