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

Page concordance

< >
Scan Original
61 23
62 24
63 25
64 26
65 27
66 28
67 29
68 30
69 31
70 32
71 33
72 34
73 35
74 36
75 37
76 38
77 39
78 40
79 41
80 42
81 43
82 44
83 45
84 46
85 47
86 48
87 49
88 50
89 51
90 52
< >
page |< < (59) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div232" type="section" level="1" n="77">
          <p style="it">
            <s xml:id="echoid-s2653" xml:space="preserve">
              <pb o="59" file="0097" n="97" rhead="Conicor. Lib. V."/>
            mum E C nullus alius ramus breuiſecans ex concurſu E ad ſectionem duci poteſt,
              <lb/>
            qui cadat in eodem quadrante B L, quem breuiſecans interſecat.</s>
            <s xml:id="echoid-s2654" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2655" xml:space="preserve">Nam ſi producantur E H, E G, &</s>
            <s xml:id="echoid-s2656" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2657" xml:space="preserve">Ducantur quilibet rami E H, E G ad
              <lb/>
              <note position="left" xlink:label="note-0097-01" xlink:href="note-0097-01a" xml:space="preserve">h</note>
            vtraſque partes breuiſecantis E C intra quadrantem B L, qui ſecent D B in K,
              <lb/>
            & </s>
            <s xml:id="echoid-s2658" xml:space="preserve">I, & </s>
            <s xml:id="echoid-s2659" xml:space="preserve">producatur per centrum D recta M D L perpendicularis ad axim B A,
              <lb/>
            quæ ſecet ſectionem in L, & </s>
            <s xml:id="echoid-s2660" xml:space="preserve">ramum E C in M.</s>
            <s xml:id="echoid-s2661" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2662" xml:space="preserve">Et quia iam productæ ſunt ex concurſu M duæ breuiſecantes, &</s>
            <s xml:id="echoid-s2663" xml:space="preserve">c.
              <lb/>
            </s>
            <s xml:id="echoid-s2664" xml:space="preserve">
              <note position="left" xlink:label="note-0097-02" xlink:href="note-0097-02a" xml:space="preserve">i</note>
            Quia C M breuiſsima ex hypotheſi occurrit ſemiaxi minori recto L D breuiſsi-
              <lb/>
            mæ pariter (ex 11. </s>
            <s xml:id="echoid-s2665" xml:space="preserve">huius) in M, ſequitur (non quidem ex 51. </s>
            <s xml:id="echoid-s2666" xml:space="preserve">52. </s>
            <s xml:id="echoid-s2667" xml:space="preserve">huius, ſed
              <lb/>
            ex lemmate 8. </s>
            <s xml:id="echoid-s2668" xml:space="preserve">præmiſſo) quod linea recta ex M ad H coniuncta cadat infra
              <lb/>
            breuiſsimam ex puncto H ad axim B A ductam, & </s>
            <s xml:id="echoid-s2669" xml:space="preserve">coniuncta recta M G cadit
              <lb/>
            ſupra breuiſsimam ex puncto G ad axim ductam.</s>
            <s xml:id="echoid-s2670" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2671" xml:space="preserve">Sed E H, & </s>
            <s xml:id="echoid-s2672" xml:space="preserve">E G efficiunt abſciſsas oppoſito modo, &</s>
            <s xml:id="echoid-s2673" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2674" xml:space="preserve">Quia ab eodem
              <lb/>
              <note position="left" xlink:label="note-0097-03" xlink:href="note-0097-03a" xml:space="preserve">k</note>
            puncto H ſectionis ducuntur tres rectæ lineæ. </s>
            <s xml:id="echoid-s2675" xml:space="preserve">H E, H M, & </s>
            <s xml:id="echoid-s2676" xml:space="preserve">breuiſsima ex H ad
              <lb/>
            axim B A ducta, quarum intermedia eſt H M, eo quod breuiſsima ex H ad
              <lb/>
            axim A B cadit ſupra H M ad partes B, vt dictum eſt, & </s>
            <s xml:id="echoid-s2677" xml:space="preserve">H E cadit
              <lb/>
              <note position="right" xlink:label="note-0097-04" xlink:href="note-0097-04a" xml:space="preserve">Lem 8.</note>
            infra H M ad partes A; </s>
            <s xml:id="echoid-s2678" xml:space="preserve">ergo H E cadit infra breuiſsimam ex
              <lb/>
            H ad A B ductam, & </s>
            <s xml:id="echoid-s2679" xml:space="preserve">propterea E H nan erit breuiſecans:
              <lb/>
            </s>
            <s xml:id="echoid-s2680" xml:space="preserve">Similiter breuiſsimaex G ad A B extenſa cadit infra
              <lb/>
            G M ad partes A, vt dictum eſt; </s>
            <s xml:id="echoid-s2681" xml:space="preserve">at E G cadit
              <lb/>
              <note position="right" xlink:label="note-0097-05" xlink:href="note-0097-05a" xml:space="preserve">1 bidem.</note>
            ſupra G M ad partes B; </s>
            <s xml:id="echoid-s2682" xml:space="preserve">ergo E G cadit
              <lb/>
            ſupra breuiſsimam ex G ad axim
              <lb/>
            A B ductam, quare E G non
              <lb/>
            eſt breuiſecans.</s>
            <s xml:id="echoid-s2683" xml:space="preserve"/>
          </p>
          <figure number="74">
            <image file="0097-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0097-01"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum