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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[241.] Notæ in Propoſit. XXVIII.
Page: 284 (246)
[242.] LEMMAX.
Page: 284 (246)
[243.] SECTIO VNDECIMA Continens Propoſit. XXIX. XXX. & XXXI. PROPOSTIO XXIX.
Page: 285 (247)
[244.] PROPOSITIO XXX.
Page: 286 (248)
[245.] PROPOSITIO XXXI.
Page: 289 (251)
[246.] Notæ in Propoſit. XXIX.
Page: 291 (253)
[247.] Notæ in Propoſit. XXX.
Page: 292 (254)
[248.] Notæ in Propoſit. XXXI.
Page: 296 (258)
[249.] LIBRI SEXTI FINIS.
Page: 308 (270)
[250.] DEFINITIONES. I.
Page: 309 (271)
[251.] II.
Page: 309 (271)
[252.] III.
Page: 309 (271)
[253.] IV.
Page: 309 (271)
[254.] V.
Page: 309 (271)
[255.] VI.
Page: 309 (271)
[256.] VII.
Page: 310 (272)
[257.] VIII.
Page: 310 (272)
[258.] NOTÆ.
Page: 310 (272)
[259.] SECTIO PRIMA Continens Propoſit. I. V. & XXIII. Apollonij. PROPOSITIO I.
Page: 311 (273)
[260.] PROPOSITIO V. & XXIII.
Page: 312 (274)
[261.] Notæ in Propoſit. I.
Page: 312 (274)
[262.] Notæ in Propoſit. V. & XXIII.
Page: 313 (275)
[263.] SECTIO SECVNDA Continens Propoſit. II. III. IV. VI. & VII. Apollonij. PROPOSITIO II. & III.
Page: 314 (276)
[264.] PROPOSITIO IV.
Page: 315 (277)
[265.] PROPOSITIO VI. & VII.
Page: 316 (278)
[266.] Notæ in Propoſit. II. III.
Page: 317 (279)
[267.] Notæ in Propoſit. IV.
Page: 318 (280)
[268.] Notæ in Propoſit. VI. & VII.
Page: 319 (281)
[269.] SECTIO TERTIA Continens Propoſit. Apollonij VIII. IX. X. XI. XV. XIX. XVI. XVIII. XVII. & XX.
Page: 320 (282)
[270.] Notæ in Propoſit. VIII.
Page: 323 (285)
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            libet caſu maior erit differentia I L, eiuſque erecti. </s>
            <s xml:id="echoid-s10939" xml:space="preserve">Pari modo oſtende-
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            tur quod differentia ipſius I L, & </s>
            <s xml:id="echoid-s10940" xml:space="preserve">eius erecti maior ſit differentia ipſius S
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            T, eiuſque erecti. </s>
            <s xml:id="echoid-s10941" xml:space="preserve">Et hoc erat oſtendendum.</s>
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          <head xml:id="echoid-head364" xml:space="preserve">PROPOSITIO XXXVII.</head>
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              <emph style="sc">In</emph>
            hyperbole differentia la-
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            terum figuræ axis inclinati
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            maior eſt differentia laterũ figu-
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            rę ſui homologi eiuſdẽ ſectionis:
              <lb/>
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            <s xml:id="echoid-s10944" xml:space="preserve">& </s>
            <s xml:id="echoid-s10945" xml:space="preserve">differẽtia laterum figuræ in-
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            clinati proximioris axi maior
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            eſt differentia laterum figuræ
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            inclinati ab illo remotioris.</s>
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            <s xml:id="echoid-s10947" xml:space="preserve">In hyperbole A B P ſit axis C
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            A, & </s>
            <s xml:id="echoid-s10948" xml:space="preserve">I L, S T ſit duæ aliæ dia-
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            metri, & </s>
            <s xml:id="echoid-s10949" xml:space="preserve">centrum D; </s>
            <s xml:id="echoid-s10950" xml:space="preserve">atque ere-
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            ctus ipſius A C ſit A F, & </s>
            <s xml:id="echoid-s10951" xml:space="preserve">ipſius
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            I L ſit I K, atque ipſius S T ſit S
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            Z: </s>
            <s xml:id="echoid-s10952" xml:space="preserve">& </s>
            <s xml:id="echoid-s10953" xml:space="preserve">educamus C B, C P, pa-
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            rallelas duabus homologis diame-
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            tris I L, S T, & </s>
            <s xml:id="echoid-s10954" xml:space="preserve">duas ad axim
              <lb/>
            perpendiculares B E, P M, ſece-
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            muſque duas interceptas C H, A
              <lb/>
            G, & </s>
            <s xml:id="echoid-s10955" xml:space="preserve">ſit inclinatus A C in prima
              <lb/>
            figura maior, quàm A F, in ſecũ-
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            da verò minor. </s>
            <s xml:id="echoid-s10956" xml:space="preserve">Et quoniam A C
              <lb/>
            ad A F ſupponitur vt H A ad A G
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