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="165" file="0203" n="203" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0203-01" xlink:href="fig-0203-01a" number="221">
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            vel hyperbolæ, nec habent baſes, à quibus circumſcribantur, igitur in ſectionibus
              <lb/>
            ſimilibus A B, & </s>
            <s xml:id="echoid-s6398" xml:space="preserve">G F homolegæ axium abſciſſæ B C, F H non ſupponuntur iam
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            dißectæ, & </s>
            <s xml:id="echoid-s6399" xml:space="preserve">determinatæ; </s>
            <s xml:id="echoid-s6400" xml:space="preserve">quare poßunt eße cuiuſcunque menſuræ, & </s>
            <s xml:id="echoid-s6401" xml:space="preserve">habere poſ-
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            ſunt eandem, & </s>
            <s xml:id="echoid-s6402" xml:space="preserve">non eandem proportionem ad conterminas potentiales; </s>
            <s xml:id="echoid-s6403" xml:space="preserve">& </s>
            <s xml:id="echoid-s6404" xml:space="preserve">ideo
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            ad vitandam incertitudinem adiungi debet determinatio, quod prædictæ homo-
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            logæ abſcißæ B C, F H proportionales ſint lateribus rectis B D, F I, at in ſeg-
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            mentis, ſeu portionibus ſectionum conicarum ſimilium inutilis omnino eßet illa
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            determinatio. </s>
            <s xml:id="echoid-s6405" xml:space="preserve">An verò hæc mea ſententia omninò reijci debeat alijs iudicandũ
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            relinquo.</s>
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          <head xml:id="echoid-head257" xml:space="preserve">Notæ in Propoſit. XI.</head>
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            <s xml:id="echoid-s6407" xml:space="preserve">CVmque B C ad B L poſita ſit vt H F ad F N, &</s>
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            <s xml:id="echoid-s6409" xml:space="preserve">Quia inuertendo
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            D B ad B C eandem proportionem habet quàm I F ad F H, & </s>
            <s xml:id="echoid-s6410" xml:space="preserve">C B ad B
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            L eſt vt H F ad F N; </s>
            <s xml:id="echoid-s6411" xml:space="preserve">ergo ex æquali ordinata D B ad B L eandem proportio-
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            nem habebit, quàm I F ad F N; </s>
            <s xml:id="echoid-s6412" xml:space="preserve">eſtque ordinatim applicata Q L media pro.
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            portionatis inter abſciſſam B L, & </s>
            <s xml:id="echoid-s6414" xml:space="preserve">latus rectum B D ( cum in parabola quadra-
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            tum Q L æquale ſit rectangulo L B D ) pariterque X N media proportionalis eſt
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              <note position="right" xlink:label="note-0203-02" xlink:href="note-0203-02a" xml:space="preserve">11. lib. I.</note>
            inter F N, & </s>
            <s xml:id="echoid-s6415" xml:space="preserve">I F; </s>
            <s xml:id="echoid-s6416" xml:space="preserve">ergo Q L ad L B eſt vt X N ad N F, & </s>
            <s xml:id="echoid-s6417" xml:space="preserve">antecedentium,
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            duplæ, ſcilicet Q R ad L B, atque X r
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            ad N F in eadem ratione erunt. </s>
            <s xml:id="echoid-s6418" xml:space="preserve">Non
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            ſecus oſtendetur O P ad K B vt T V ad M F.</s>
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