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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              <pb o="280" file="0318" n="318" rhead="Apollonij Pergæi"/>
            dens quartum caſum in poſtrema figura, quàm ſuperaddidi, vti neceſſariam,
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            pro intelligentia octauæ propoſitionis.</s>
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            <s xml:id="echoid-s10338" xml:space="preserve">Et componendo in hyperbola, & </s>
            <s xml:id="echoid-s10339" xml:space="preserve">diuidendo in ellipſi prima deindè
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              <note position="right" xlink:label="note-0318-01" xlink:href="note-0318-01a" xml:space="preserve">b</note>
            coniungendo in duabus figuris prioribus, & </s>
            <s xml:id="echoid-s10340" xml:space="preserve">occurrere faciamus reſpe-
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            ctiuum cum reſpectiuo in reliquis figuris poſt inuerſionem, vt fiat, &</s>
            <s xml:id="echoid-s10341" xml:space="preserve">c.
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              <figure xlink:label="fig-0318-01" xlink:href="fig-0318-01a" number="368">
                <image file="0318-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0318-01"/>
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            Ideſt componendo in byperbolis, & </s>
            <s xml:id="echoid-s10343" xml:space="preserve">in ellipſibus comparando differentias termi
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            norum ad conſequentes, deinde comparando homologorum differentias in duabus
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            figuris prioribus, & </s>
            <s xml:id="echoid-s10344" xml:space="preserve">ſumas in reliquis, innc enim A H ad G E eſt, vt A C
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            ad C G, & </s>
            <s xml:id="echoid-s10345" xml:space="preserve">ſumpta communi altitudine E A, erit tectangulum H A E ad re-
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            ctangulum G E A, vt A C ad C G. </s>
            <s xml:id="echoid-s10346" xml:space="preserve">Seà rectangulum H A E æquale eſt qua-
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            drato A E vna cum rectangulo H E A, cui æquale eſt quadratum B E, ergo
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            quadratum A B æquale eſt rectangulo H A E (propterea quod A B ſubtendit
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            angulum rectum E in triangulo B A E) quare quadratũ A B ad rectangulum
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            A G E eandem proportionẽ habet quàm C A ad C G.</s>
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          <head xml:id="echoid-head335" xml:space="preserve">Notæ in Propoſit. IV.</head>
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            <s xml:id="echoid-s10348" xml:space="preserve">SI hyperbolen, aut ellipſim A B tangat recta linea I M, & </s>
            <s xml:id="echoid-s10349" xml:space="preserve">occurrat
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            axi A C in M, vtique ipſius I M quadratum, &</s>
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            <s xml:id="echoid-s10351" xml:space="preserve">Suppleri debet
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