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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[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)
[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)
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              <pb o="169" file="0207" n="207" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0207-01" xlink:href="fig-0207-01a" number="227">
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            prima figura extra duo ſegmenta, & </s>
            <s xml:id="echoid-s6509" xml:space="preserve">in ſecunda intra, at in ter-
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            tia intra duos ſemicirculos), & </s>
            <s xml:id="echoid-s6510" xml:space="preserve">fuerit proportio plani rectan-
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            guli ex portionibus lineæ baſis inter angulum prouenientem, & </s>
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            duos angulos reliquos trianguli, nempe A H in H C ad qua-
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              <note position="left" xlink:label="note-0207-01" xlink:href="note-0207-01a" xml:space="preserve">2</note>
            dratum interceptæ inter prouenientem angulum, & </s>
            <s xml:id="echoid-s6512" xml:space="preserve">circuli peri-
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            pheriam, nempe ad quadratum H B in quolibet caſu eadem
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            ſit, quàm D I in I F ad quadratum I E, vel H A in H C ad
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            quadratum H T ſit, vt D I in I F ad quadratum I G; </s>
            <s xml:id="echoid-s6513" xml:space="preserve">ſintque
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            duo priores anguli, inter ſe æquales, & </s>
            <s xml:id="echoid-s6514" xml:space="preserve">prouenientes extra duo
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            triangula poſiti: </s>
            <s xml:id="echoid-s6515" xml:space="preserve">vel duo priores recti, & </s>
            <s xml:id="echoid-s6516" xml:space="preserve">prouenientes intra
              <lb/>
              <note position="left" xlink:label="note-0207-02" xlink:href="note-0207-02a" xml:space="preserve">3</note>
            duos angulos non ſint recti; </s>
            <s xml:id="echoid-s6517" xml:space="preserve">aut duo priores non recti, & </s>
            <s xml:id="echoid-s6518" xml:space="preserve">pro-
              <lb/>
              <note position="left" xlink:label="note-0207-03" xlink:href="note-0207-03a" xml:space="preserve">4</note>
            uenientes recti intra duo triangula: </s>
            <s xml:id="echoid-s6519" xml:space="preserve">vel duo priores diuerſæ,
              <lb/>
              <note position="left" xlink:label="note-0207-04" xlink:href="note-0207-04a" xml:space="preserve">5</note>
            aut eiuſdem ſpeciei, ſed duæ lineæ efficiant duos angulos æqua-
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            les cum lateribus duorum triangulorum ſubtendentibus angulos
              <lb/>
            prouenientes: </s>
            <s xml:id="echoid-s6520" xml:space="preserve">vtique duo priora triangula ſunt ſimilia.</s>
            <s xml:id="echoid-s6521" xml:space="preserve"/>
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            <s xml:id="echoid-s6522" xml:space="preserve">Quia C H in H A; </s>
            <s xml:id="echoid-s6523" xml:space="preserve">nempe T H in H B ad quadratum H B, quod eſt,
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            vt H T ad H B eandem proportionem habet, quàm D I in I F, nempe
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              <figure xlink:label="fig-0207-02" xlink:href="fig-0207-02a" number="228">
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            G I in I E ad quadratum I E, quod eſt vt I G ad I E, erit B H ad H T,
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            vt E I ad I G; </s>
            <s xml:id="echoid-s6524" xml:space="preserve">ſimiliter, & </s>
            <s xml:id="echoid-s6525" xml:space="preserve">eorum quadrata; </s>
            <s xml:id="echoid-s6526" xml:space="preserve">oſtendetur igitur ex </s>
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