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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            tum A C ad quadratum Q R maiorem proportionem quàm ad quadratũ
              <lb/>
            T Z. </s>
            <s xml:id="echoid-s12012" xml:space="preserve">Et pariter oſtendetur, quod quadratum A C ad quadratum T Z
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            maiorem proportionem habet, quàm ad quadratum y f; </s>
            <s xml:id="echoid-s12013" xml:space="preserve">quapropter C F
              <lb/>
            minor eſt quàm Q R, & </s>
            <s xml:id="echoid-s12014" xml:space="preserve">Q R minor, quàm T Z, & </s>
            <s xml:id="echoid-s12015" xml:space="preserve">T Z minor, quàm
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            y f. </s>
            <s xml:id="echoid-s12016" xml:space="preserve">Quod erat oſtendendum.</s>
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          <head xml:id="echoid-head406" xml:space="preserve">PROPOSITIO XXXXVII.</head>
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            <s xml:id="echoid-s12018" xml:space="preserve">IN eadem figura ſi duplum quadrati A C maius non fuerit
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            quadrato ſummæ C F. </s>
            <s xml:id="echoid-s12019" xml:space="preserve">Dico, quod diameter figuræ eius
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            minor eſt diametro figuræ Q P R, & </s>
            <s xml:id="echoid-s12020" xml:space="preserve">diameter figuræ Q P R
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            minor eſt diametro figuræ T S Z.</s>
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            <image file="0382-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0382-01"/>
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            <s xml:id="echoid-s12022" xml:space="preserve">Quoniam duplum quadrati A C non excedit quadratum ſummæ C A
              <lb/>
            F; </s>
            <s xml:id="echoid-s12023" xml:space="preserve">ergo duplum quadrati C G, nempe G C in A H bis ſumptum non,
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            excedit quadratum H G, & </s>
            <s xml:id="echoid-s12024" xml:space="preserve">propterea C G in H M bis ſumptum minus
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            eſt quadrato H G: </s>
            <s xml:id="echoid-s12025" xml:space="preserve">tollatur communiter duplum M G in H M </s>
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Impressum