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

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[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)
[271.] Notæ in Propoſit. IX.
Page: 324 (286)
[272.] Notæ in Propoſit. X.
Page: 325 (287)
[273.] Notæ in Propoſit. XI.
Page: 325 (287)
[274.] Notæ in Propoſit. XV.
Page: 326 (288)
[275.] Notæ in Propoſit. XIX.
Page: 326 (288)
[276.] Notæ in Propoſit. XVI.
Page: 327 (289)
[277.] Notæ in Propoſit. XVIII.
Page: 327 (289)
[278.] Notæ in Propoſit. XVII.
Page: 328 (290)
[279.] Notæ in Propoſit. XX.
Page: 328 (290)
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
Page: 329 (291)
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          <head xml:id="echoid-head340" xml:space="preserve">Notæ in Propoſit. IX.</head>
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            <s xml:id="echoid-s10515" xml:space="preserve">SIue ad quadratum differentiæ eius, quæ eſt inter I L, N O eſt vt C
              <lb/>
              <note position="right" xlink:label="note-0324-01" xlink:href="note-0324-01a" xml:space="preserve">c</note>
            G in H E ad quadratum E H, H V, &</s>
            <s xml:id="echoid-s10516" xml:space="preserve">c. </s>
            <s xml:id="echoid-s10517" xml:space="preserve">Licet nouem ſubſequentes
              <lb/>
            propoſitiones facile ex octaua deducantur, nequeunt tamen omnes ſimul conglo-
              <lb/>
            batæ vnico bauſtu deuorari; </s>
            <s xml:id="echoid-s10518" xml:space="preserve">itaque opere prætium erit aliquantisper breuita-
              <lb/>
            tem nimiam Arabici Interpretis relinquere. </s>
            <s xml:id="echoid-s10519" xml:space="preserve">Tria demonſtrata ſunt in propoſi-
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            tione octaua, quæ in ſequentibus nouem propoſitionibus vſum babent. </s>
            <s xml:id="echoid-s10520" xml:space="preserve">Primò
              <lb/>
            quod quadratum A C ad quadratum I L eandem proportionem habeat, quàm
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            rectangulum C G in H E ad quudratum H E. </s>
            <s xml:id="echoid-s10521" xml:space="preserve">Secundò quod I L ad N O ean-
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            dem proportionem habeat, quàm H E intercepta comparata ad H V potentem
              <lb/>
            comparatam. </s>
            <s xml:id="echoid-s10522" xml:space="preserve">Tertio quod quadratum I L ad quadratum N O, ſeu L I ad eius
              <lb/>
              <note position="left" xlink:label="note-0324-02" xlink:href="note-0324-02a" xml:space="preserve">15. & 16.
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              lib. I.</note>
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            latus rectum I P, ſit vt H E ad E G, vel vt quadratum H E ad rectangulum
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            H E G, vel ad quadratũ H V. </s>
            <s xml:id="echoid-s10523" xml:space="preserve">Modo propoſitio nona ſic demonſtrabitur. </s>
            <s xml:id="echoid-s10524" xml:space="preserve">Quia
              <lb/>
            I L ad N O eandem rationem habet quàm H E ad H V, erunt antecedentes ad
              <lb/>
            differentias terminorum proportionales, ideſt I L ad differentiam ipſarum I L,
              <lb/>
            & </s>
            <s xml:id="echoid-s10525" xml:space="preserve">N O eandem proportionem habebit, quàm H E ad differentiam ipſarum E
              <lb/>
            H, & </s>
            <s xml:id="echoid-s10526" xml:space="preserve">H V: </s>
            <s xml:id="echoid-s10527" xml:space="preserve">atquè quadratum I L ad quadratum ex differentia ipſarum I L,
              <lb/>
            & </s>
            <s xml:id="echoid-s10528" xml:space="preserve">N O deſcriptum eandem proportionem habebit, quàm quadratum H E ad
              <lb/>
            quadratum ex differentia ipſarum E H, & </s>
            <s xml:id="echoid-s10529" xml:space="preserve">H V deſcriptum: </s>
            <s xml:id="echoid-s10530" xml:space="preserve">erat autem qua-
              <lb/>
              <note position="left" xlink:label="note-0324-03" xlink:href="note-0324-03a" xml:space="preserve">8. huius.</note>
            dratum A C ad quadratum I L, vt rectangulum C G in H E ad quadratum
              <lb/>
            E H; </s>
            <s xml:id="echoid-s10531" xml:space="preserve">ergo ex æquali ordinata quadratum A C ad quadratum ex differentia ip-
              <lb/>
            ſarum I L, & </s>
            <s xml:id="echoid-s10532" xml:space="preserve">N O deſcriptum eandem proportionem habebit, quàm rectangu-
              <lb/>
            lum C G in H E ad quadratum ex differentia ipſarum E H, & </s>
            <s xml:id="echoid-s10533" xml:space="preserve">H V.</s>
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