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="230" file="0268" n="268" rhead="Apollonij Pergæi"/>
              <figure xlink:label="fig-0268-01" xlink:href="fig-0268-01a" number="315">
                <image file="0268-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0268-01"/>
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            inter ſe: </s>
            <s xml:id="echoid-s8600" xml:space="preserve">hi autem anguli inclinationes ſunt axium conorum ad ſuas baſes; </s>
            <s xml:id="echoid-s8601" xml:space="preserve">igi-
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            tur axes A Y, & </s>
            <s xml:id="echoid-s8602" xml:space="preserve">D Z æque ſunt inclinati ad ſuas baſes: </s>
            <s xml:id="echoid-s8603" xml:space="preserve">ſuntque proportiona-
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            les ad baſium ſemidiametros Y B, & </s>
            <s xml:id="echoid-s8604" xml:space="preserve">Z E ( cum triangula A B Y, D E Z ſi-
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              <note position="left" xlink:label="note-0268-01" xlink:href="note-0268-01a" xml:space="preserve">Defin. 8.
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              huius.</note>
            milia oſtenſa ſint ); </s>
            <s xml:id="echoid-s8605" xml:space="preserve">igitur coni A B C, & </s>
            <s xml:id="echoid-s8606" xml:space="preserve">D E F ſimiles ſunt inter ſe. </s>
            <s xml:id="echoid-s8607" xml:space="preserve">Quod
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            erat oſtendendum.</s>
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            <s xml:id="echoid-s8609" xml:space="preserve">Data parabola Z duos conos ſimiles exhibere, vt idem planum ef-
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              <note position="left" xlink:label="note-0268-02" xlink:href="note-0268-02a" xml:space="preserve">PROP.
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              11.
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              Addit.</note>
            ficiat in eis duas parabolas æquales eidem datæ parabolæ, quæ asympto-
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            ticæ ſint, & </s>
            <s xml:id="echoid-s8610" xml:space="preserve">ſibi ipſis viciniores fiant diſtantia minore quacunque
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            <s xml:id="echoid-s8612" xml:space="preserve">In quolibet plano fiat angulus I H C æqualis angulo inclinationis diametri,
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            & </s>
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            <s xml:id="echoid-s8614" xml:space="preserve">per H C extenſo alio quolibet plano ducatur in eo B H
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            G perpendicularis ad X H C; </s>
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            dratum H G ad rectangulum H K G, ita fiat latus rectum parabolæ Z ad </s>
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