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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          <head xml:id="echoid-head302" xml:space="preserve">Notæ in Propoſit. XXVIII.</head>
          <p>
            <s xml:id="echoid-s9219" xml:space="preserve">DEinde ſit ſectio elliptica, vt A B, & </s>
            <s xml:id="echoid-s9220" xml:space="preserve">axis eius tranſuerſus B D, & </s>
            <s xml:id="echoid-s9221" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0284-01" xlink:href="note-0284-01a" xml:space="preserve">a</note>
            erectus illius B E; </s>
            <s xml:id="echoid-s9222" xml:space="preserve">& </s>
            <s xml:id="echoid-s9223" xml:space="preserve">ſit triãgulum coni H F I, & </s>
            <s xml:id="echoid-s9224" xml:space="preserve">circumducamus
              <lb/>
            circa illum circulum, & </s>
            <s xml:id="echoid-s9225" xml:space="preserve">educamus ex F lineam F L K occurrentem ipſi
              <lb/>
            extra circulum in K; </s>
            <s xml:id="echoid-s9226" xml:space="preserve">& </s>
            <s xml:id="echoid-s9227" xml:space="preserve">occurrat circulo in L ita vt ſit F K ad K L, vt
              <lb/>
            D B ad B E; </s>
            <s xml:id="echoid-s9228" xml:space="preserve">& </s>
            <s xml:id="echoid-s9229" xml:space="preserve">eſt facile ( vti demonſtrauimus in 59. </s>
            <s xml:id="echoid-s9230" xml:space="preserve">ex I.)</s>
            <s xml:id="echoid-s9231" xml:space="preserve">, &</s>
            <s xml:id="echoid-s9232" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9233" xml:space="preserve"/>
          </p>
          <figure number="331">
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          <p style="it">
            <s xml:id="echoid-s9234" xml:space="preserve">Senſus propoſitionis hic erit. </s>
            <s xml:id="echoid-s9235" xml:space="preserve">In cono recto, cuius triangulum per axim H F I
              <lb/>
            reperire ſectionem æqualem datæ ellipſi A B, cuius axis tranſuerſus D B, & </s>
            <s xml:id="echoid-s9236" xml:space="preserve">
              <lb/>
            latus rectum B E. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">In conſtructione poſtea duci debet recta linea F L K extra
              <lb/>
            circulum, & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">triangulum ad vtraſque partes, alias conſtructio non eſſet perfecta.</s>
            <s xml:id="echoid-s9239" xml:space="preserve"/>
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            <s xml:id="echoid-s9240" xml:space="preserve">Lemma verò, quod repoſuiſſe, dicit Arabicus interpres in I. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">libro, ab hoc
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            ſequenti for ſam diuerſum non erit.</s>
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          <head xml:id="echoid-head303" xml:space="preserve">LEMMAX.</head>
          <p style="it">
            <s xml:id="echoid-s9243" xml:space="preserve">SEcetur latus F I in S, vt ſit F I
              <lb/>
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                <image file="0284-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0284-02"/>
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            ad I S in eadem ratione, quàm
              <lb/>
            habet axis tranſuerſus D B ad latus re-
              <lb/>
            ctum B E: </s>
            <s xml:id="echoid-s9244" xml:space="preserve">& </s>
            <s xml:id="echoid-s9245" xml:space="preserve">ducatur S L æquidiſtans
              <lb/>
            trianguli baſi H I, quæ ſecet circulum ex
              <lb/>
            vtraque parte in L, & </s>
            <s xml:id="echoid-s9246" xml:space="preserve">coniungantur re-
              <lb/>
            ctæ lineæ F L, producanturque quoſquè
              <lb/>
            ſecent baſim H I in punctis K.</s>
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            <s xml:id="echoid-s9248" xml:space="preserve">Quoniam in triangulo F I K ducitur recta
              <lb/>
            linea S L æquidiſtans baſi I K, erit F I </s>
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