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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[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)
[231.] Notæ in Propoſit. XXIII.
Page: 244 (206)
[232.] Notæ in Propoſit. XXIV.
Page: 245 (207)
[233.] SECTIO NONA Continens Propoſit. XXV.
Page: 245 (207)
[234.] Notæ in Propoſit. XXV.
Page: 246 (208)
[235.] LEMMA IX.
Page: 267 (229)
[236.] SECTIO DECIMA Continens Propoſit. XXVI. XXVII. & XXVIII. PROPOSITIO XXVI.
Page: 275 (237)
[237.] PROPOSITIO XXVII.
Page: 276 (238)
[238.] PROPOSITIO XXVIII.
Page: 278 (240)
[239.] Notæ in Propoſit. XXVI.
Page: 279 (241)
[240.] Notæ in Propoſit. XXVII.
Page: 280 (242)
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            <s xml:id="echoid-s11008" xml:space="preserve">In eadem figura coniungatur recta linèa A Q terminos axium coniungens,
              <lb/>
            & </s>
            <s xml:id="echoid-s11009" xml:space="preserve">per centrum huic parallela ſit e d, perq; </s>
            <s xml:id="echoid-s11010" xml:space="preserve">idem centrum, & </s>
            <s xml:id="echoid-s11011" xml:space="preserve">ſemipartitionem
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            applicatę A Q ducatur diameter a b: </s>
            <s xml:id="echoid-s11012" xml:space="preserve">Dico diametros coniugatas a b, & </s>
            <s xml:id="echoid-s11013" xml:space="preserve">e d
              <lb/>
            ęquales eſſe inter ſe. </s>
            <s xml:id="echoid-s11014" xml:space="preserve">Quoniam à termino Q ordinatim applicatę A Q ad dia-
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            metrum a b ducitur ad axim perpendicularis Q D cadens in centrum D; </s>
            <s xml:id="echoid-s11015" xml:space="preserve">ergo
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              <note position="right" xlink:label="note-0345-01" xlink:href="note-0345-01a" xml:space="preserve">Prop. 7.
                <lb/>
              huius.</note>
            H D ad D G eandem proportionem habet, quàm quadratum diametri a b ad
              <lb/>
            quadratum eius coniugatę c d; </s>
            <s xml:id="echoid-s11016" xml:space="preserve">ſuntquè H D, & </s>
            <s xml:id="echoid-s11017" xml:space="preserve">G D ęquales inter ſe, cum
              <lb/>
            ſemiaxes, atquè interceptę ſint ęquales inter ſe; </s>
            <s xml:id="echoid-s11018" xml:space="preserve">ergo diametri coniugatę a b,
              <lb/>
            & </s>
            <s xml:id="echoid-s11019" xml:space="preserve">c d ęquales erunt inter ſe hoc pręmiſſo.</s>
            <s xml:id="echoid-s11020" xml:space="preserve"/>
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          <p style="it">
            <s xml:id="echoid-s11021" xml:space="preserve">Reperiantur in ellipſi duę diametri coniugatę inter ſe ęquales a b, e d, & </s>
            <s xml:id="echoid-s11022" xml:space="preserve">
              <lb/>
            inter a, & </s>
            <s xml:id="echoid-s11023" xml:space="preserve">A ponantur diametri I L, S T, quarum coniugatę N O, & </s>
            <s xml:id="echoid-s11024" xml:space="preserve">V X,
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                <image file="0345-03" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0345-03"/>
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            & </s>
            <s xml:id="echoid-s11025" xml:space="preserve">ducãtur reliquę rectę lineę,
              <lb/>
            vt prius factum eſt, & </s>
            <s xml:id="echoid-s11026" xml:space="preserve">pona-
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            tur primo loco axis A C maior
              <lb/>
            quàm Q R: </s>
            <s xml:id="echoid-s11027" xml:space="preserve">Dico I L maiorem
              <lb/>
            eſſe ipſa N O, & </s>
            <s xml:id="echoid-s11028" xml:space="preserve">S T maiorem
              <lb/>
            V X. </s>
            <s xml:id="echoid-s11029" xml:space="preserve">Quia quadratum A C ad
              <lb/>
            quadratum Q R eandem propor-
              <lb/>
              <note position="right" xlink:label="note-0345-02" xlink:href="note-0345-02a" xml:space="preserve">Defin. 1.
                <lb/>
              huius.</note>
            tionem habet, quàm H A ad A
              <lb/>
            G, & </s>
            <s xml:id="echoid-s11030" xml:space="preserve">quadratum I L ad qua-
              <lb/>
            dratum N O eandem proportio-
              <lb/>
            nem habet, quàm H E ad E G;
              <lb/>
            </s>
            <s xml:id="echoid-s11031" xml:space="preserve">pariterquè quadratum S T ad
              <lb/>
            quadratum V X eandem propor-
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              <note position="right" xlink:label="note-0345-03" xlink:href="note-0345-03a" xml:space="preserve">Prop. 7.
                <lb/>
              huius.</note>
            tionem habet, quàm H M ad
              <lb/>
            M G ; </s>
            <s xml:id="echoid-s11032" xml:space="preserve">ſed in prima hyperbola,
              <lb/>
            & </s>
            <s xml:id="echoid-s11033" xml:space="preserve">prima ellipſi H A maior eſt,
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            quàm A G, & </s>
            <s xml:id="echoid-s11034" xml:space="preserve">H E maior, quã
              <lb/>
            E G, atquè H M maior, quàm
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            M G; </s>
            <s xml:id="echoid-s11035" xml:space="preserve">igitnr quadratum I L </s>
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