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
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39 1
40 2
< >
page |< < (70) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div275" type="section" level="1" n="91">
          <pb o="70" file="0108" n="108" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div278" type="section" level="1" n="92">
          <head xml:id="echoid-head126" xml:space="preserve">SECTIO VNDECIMA</head>
          <head xml:id="echoid-head127" xml:space="preserve">Continens Propoſ. LXVIII. LXIX. LXX.
            <lb/>
          & LXXI. Apollonij.</head>
          <head xml:id="echoid-head128" xml:space="preserve">PROPOSITIO LXVIII. LXIX.</head>
          <p>
            <s xml:id="echoid-s2999" xml:space="preserve">SI occurrant duæ tangentes alicui ſectioni A B C, vt ſunt A
              <lb/>
              <note position="right" xlink:label="note-0108-01" xlink:href="note-0108-01a" xml:space="preserve">a</note>
            F, E F, vtique quod abſcinditur ex tangente proximiori
              <lb/>
            vertici ſectionis, qui eſt B minus eſt ſegmento abſciſſo ex alia,
              <lb/>
            nempe E F minor eſt, quàm A F.</s>
            <s xml:id="echoid-s3000" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3001" xml:space="preserve">Iuncta enim A E,
              <lb/>
              <note position="right" xlink:label="note-0108-02" xlink:href="note-0108-02a" xml:space="preserve">b</note>
              <figure xlink:label="fig-0108-01" xlink:href="fig-0108-01a" number="88">
                <image file="0108-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0108-01"/>
              </figure>
            & </s>
            <s xml:id="echoid-s3002" xml:space="preserve">in parabola ex F
              <lb/>
            producta linea F I
              <lb/>
            parallela axi B D e-
              <lb/>
            rit illa diameter, bi-
              <lb/>
            fariam ſecans E A in
              <lb/>
            G (34. </s>
            <s xml:id="echoid-s3003" xml:space="preserve">ex 2.) </s>
            <s xml:id="echoid-s3004" xml:space="preserve">Simi-
              <lb/>
              <note position="left" xlink:label="note-0108-03" xlink:href="note-0108-03a" xml:space="preserve">30. lib. 2.</note>
            liter ex centro H pro-
              <lb/>
            ducamus H F G, quæ
              <lb/>
            eſt quoque diameter
              <lb/>
            (34. </s>
            <s xml:id="echoid-s3005" xml:space="preserve">ex 2.) </s>
            <s xml:id="echoid-s3006" xml:space="preserve">bifariam
              <lb/>
              <note position="left" xlink:label="note-0108-04" xlink:href="note-0108-04a" xml:space="preserve">Ibidem.</note>
            ſecans E A in G, & </s>
            <s xml:id="echoid-s3007" xml:space="preserve">
              <lb/>
            ducamus A D in pa-
              <lb/>
            rabola, & </s>
            <s xml:id="echoid-s3008" xml:space="preserve">hyperbola perpendicularem ſuper axim D B. </s>
            <s xml:id="echoid-s3009" xml:space="preserve">Ergo angulus
              <lb/>
            A I G in parabola eſt rectus, & </s>
            <s xml:id="echoid-s3010" xml:space="preserve">in hyperbola obtuſus; </s>
            <s xml:id="echoid-s3011" xml:space="preserve">ergo F G A erit
              <lb/>
            obtuſus in illis omnibus; </s>
            <s xml:id="echoid-s3012" xml:space="preserve">quare maior eſt, quàm angulus F G E, & </s>
            <s xml:id="echoid-s3013" xml:space="preserve">A
              <lb/>
            G æqualis eſt ipſi G E, & </s>
            <s xml:id="echoid-s3014" xml:space="preserve">F G communis; </s>
            <s xml:id="echoid-s3015" xml:space="preserve">igitur E F minor eſt, quàm
              <lb/>
            F A.</s>
            <s xml:id="echoid-s3016" xml:space="preserve"/>
          </p>
          <figure number="89">
            <image file="0108-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0108-02"/>
          </figure>
        </div>
      </text>
    </echo>
Impressum