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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[271.] Notæ in Propoſit. IX.
[272.] Notæ in Propoſit. X.
[273.] Notæ in Propoſit. XI.
[274.] Notæ in Propoſit. XV.
[275.] Notæ in Propoſit. XIX.
[276.] Notæ in Propoſit. XVI.
[277.] Notæ in Propoſit. XVIII.
[278.] Notæ in Propoſit. XVII.
[279.] Notæ in Propoſit. XX.
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
[281.] Notæ in Propoſit. XII.
[282.] Notæ in Propoſit. XIII.
[283.] Notæ in Propoſit. XXIX.
[284.] Notæ in Propoſit. XXX.
[285.] Notæ in Propoſit. XIV. & XXV.
[286.] Notæ in Propoſit. XXVII.
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
[288.] PROPOSITIO XXI. & XXVIII.
[289.] PROPOSITIO XXVI
[290.] PROPOSITIO XXXXII.
[291.] PROPOSITIO XXXXIII.
[292.] PROPOSITIO XXIV.
[293.] PROPOSITIO XXXVII.
[294.] Notę in Propoſit. XXVIII.
[295.] LEMMA. I.
[296.] Notę in Propoſit. XXI.
[297.] Notę in Propoſit. XXXXII.
[298.] Notæ in Propoſit. XXXXIII.
[299.] Notæ in Propoſit. XXIV.
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
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              <pb o="337" file="0375" n="376" rhead="Conicor. Lib. VII."/>
            guli ex ſumma extremorum, vel intermediorum in differentiam mini-
              <lb/>
            morum ſegmentorum, ſcilicet ex G A cum H E in E A.</s>
            <s xml:id="echoid-s11794" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s11795" xml:space="preserve">Quia duplum rectanguli G A H cum duplo rectanguli G A E æquatur duplo
              <lb/>
            rectanguli ſub G A in H E, addito cõmuniter duplo rectanguli H E A erit du-
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            plum rectanguli G E H æquale duplo rectanguli G A H cum duplo rectanguli ex
              <lb/>
            ſumma G A, H E in E A; </s>
            <s xml:id="echoid-s11796" xml:space="preserve">& </s>
            <s xml:id="echoid-s11797" xml:space="preserve">addito communi quadrato G H, erit duplum
              <lb/>
            rectanguli G E H cum quadrato G H, ſcilicet duo quadrata ex G E, & </s>
            <s xml:id="echoid-s11798" xml:space="preserve">ex E
              <lb/>
              <figure xlink:label="fig-0375-01" xlink:href="fig-0375-01a" number="446">
                <image file="0375-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0375-01"/>
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            H, erunt æqualia illis om-
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            nibus ſpatijs, ſcilicet duplo
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            rectanguli ex ſumma G A,
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            H E in E A cum duplo re-
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            ctanguli G A H ſimul cum
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            quadrato ex G H: </s>
            <s xml:id="echoid-s11799" xml:space="preserve">ſed duplo
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            rectanguli G A H cum quadrato G H æqualia ſunt duo quadrata ex G A,
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            & </s>
            <s xml:id="echoid-s11800" xml:space="preserve">ex A H, ergo duo quadrata ex G E, & </s>
            <s xml:id="echoid-s11801" xml:space="preserve">ex E H æqualia erunt quadratis ex
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            G A, & </s>
            <s xml:id="echoid-s11802" xml:space="preserve">ex A H cum duplo rectanguli ex G A; </s>
            <s xml:id="echoid-s11803" xml:space="preserve">& </s>
            <s xml:id="echoid-s11804" xml:space="preserve">H E in E A, quod erat
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            oſtendendum.</s>
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          <head xml:id="echoid-head400" xml:space="preserve">LEMM A XII.</head>
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            <s xml:id="echoid-s11806" xml:space="preserve">IN hyperbola, cuius axis A C, erectus A F, præſectæ C G, H A,
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            centrum D, atque diameter I L, eiuſque erectus I K, & </s>
            <s xml:id="echoid-s11807" xml:space="preserve">latus
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            C E, pariterque altera diameter Q P, cuius erectus P R, & </s>
            <s xml:id="echoid-s11808" xml:space="preserve">latus
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            C O: </s>
            <s xml:id="echoid-s11809" xml:space="preserve">dico quod duplum rectanguli ex G E cũ O H in H E à duobus
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            quadratis ex G E, & </s>
            <s xml:id="echoid-s11810" xml:space="preserve">ex E H; </s>
            <s xml:id="echoid-s11811" xml:space="preserve">nec non quadrata Q P, & </s>
            <s xml:id="echoid-s11812" xml:space="preserve">P R late-
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            rum figuræ diametri Q P à quadratis ex L I, & </s>
            <s xml:id="echoid-s11813" xml:space="preserve">ex I K, vel ex C A,
              <lb/>
            & </s>
            <s xml:id="echoid-s11814" xml:space="preserve">ex A F, vna deficiunt, aut vna æqualia ſunt, vel vna exce-
              <lb/>
            dunt.</s>
            <s xml:id="echoid-s11815" xml:space="preserve"/>
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