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="339" file="0377" n="378" rhead="Conicor. Lib. VII."/>
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        <div xml:id="echoid-div1020" type="section" level="1" n="324">
          <head xml:id="echoid-head401" xml:space="preserve">Notæ in Propoſit. XXXXIV. & XXXXV.</head>
          <p style="it">
            <s xml:id="echoid-s11861" xml:space="preserve">QVia C A maior eſt, quàm A F, vel ſi minor eſt quadratum ex C A,
              <lb/>
            minor non eſt dimidio quadrati ex differentia C A, & </s>
            <s xml:id="echoid-s11862" xml:space="preserve">A F, eſtque H
              <lb/>
            A ad A G vt A C ad A F, & </s>
            <s xml:id="echoid-s11863" xml:space="preserve">H A ad G H, vt A C ad differen-
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            tiam ipſarum A C, A F, ergo quadratum H A ad dimidium quadrati G H
              <lb/>
            erit vt quadratum A C ad dimidium quadrati ex differentia ipſarum A C, & </s>
            <s xml:id="echoid-s11864" xml:space="preserve">
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            A F, quare quadratum ex H A minor non erit ſemiſſe quadrati H G, ideoq;
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            <s xml:id="echoid-s11865" xml:space="preserve">
              <figure xlink:label="fig-0377-01" xlink:href="fig-0377-01a" number="449">
                <image file="0377-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0377-01"/>
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            duplum quadrati A H minor non erit quadrato H G, eſtque duplum rectanguli
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            E H A, vel M H E maius duplo quadrati A H, ſeu maius quadrato H G;
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            <s xml:id="echoid-s11866" xml:space="preserve">propterea duplum E H ad H G maiorem proportionem habebit, quàm G H
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              <note position="right" xlink:label="note-0377-01" xlink:href="note-0377-01a" xml:space="preserve">Lem. 10.</note>
            ad H A, ideoque duplum rectanguli ex G A, H A in A H maius erit quadra-
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              <note position="right" xlink:label="note-0377-02" xlink:href="note-0377-02a" xml:space="preserve">Lem 12.</note>
            tis ex G A, & </s>
            <s xml:id="echoid-s11867" xml:space="preserve">ex A H, & </s>
            <s xml:id="echoid-s11868" xml:space="preserve">inſuper ſumma quadratorum ex I L, & </s>
            <s xml:id="echoid-s11869" xml:space="preserve">ex I K
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            maior erit, quàm ſumma quadratorum ex C A, & </s>
            <s xml:id="echoid-s11870" xml:space="preserve">ex A F.</s>
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          <head xml:id="echoid-head402" xml:space="preserve">Notæ in Propoſit. XXXXVI.</head>
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            <s xml:id="echoid-s11872" xml:space="preserve">QVia quadratum axis C A minus eſt ſemiße quadrati ex differentia ipſa-
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            rum A C, & </s>
            <s xml:id="echoid-s11873" xml:space="preserve">A @, eſtque H A ad A G, vt C A ad A F, atque G H
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            eſt differentia ipſarum A H, & </s>
            <s xml:id="echoid-s11874" xml:space="preserve">A G, igitur quadratum ex A </s>
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