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

Table of contents

< >
[101.] PROPOSITIO LXXII.
Page: 115 (77)
[102.] MONITVM.
Page: 116 (78)
[103.] LEMMA IX.
Page: 116 (78)
[104.] LEMMA X.
Page: 116 (78)
[105.] LEMMA XI.
Page: 117 (79)
[106.] Notæ in Propoſ. LXIV. & LXV.
Page: 117 (79)
[107.] Notæ in Propoſ. LXVI.
Page: 120 (82)
[108.] Ex demonſtratione præmiſſa propoſitionum 64. & 65. deduci poteſt conſectarium, à quo notæ ſubſe-quentes breuiores reddantur. COROLLARIVM PROPOSIT. LXIV. & LXV.
Page: 120 (82)
[109.] Notæ in Propoſ. LXVII.
Page: 121 (83)
[110.] COROLLARIVM PROPOSIT. LXVII.
Page: 122 (84)
[111.] Notæ in Propoſit. LXXII.
Page: 123 (85)
[112.] SECTIO DECIMAQVARTA Continens Propoſ. LXXIII. LXXIV. LXXV. LXXVI. & LXXVII. PROPOSITIO LXXIII.
Page: 126 (88)
[113.] PROPOSITO LXXIV.
Page: 128 (90)
[114.] PROPOSITO LXXV.
Page: 128 (90)
[115.] PROPOSITIO LXXVI.
Page: 129 (91)
[116.] PROPOSITIO LXXVII.
Page: 130 (92)
[117.] Notæ in Propoſit. LXXIII.
Page: 130 (92)
[118.] LEMMA XII.
Page: 130 (92)
[119.] Notæ in Propoſ. LXXIV.
Page: 134 (96)
[120.] Notæ in Propoſit. LXXV.
Page: 135 (97)
[121.] Notæ in Propoſ. LXXVI.
Page: 137 (99)
[122.] Notæ in Propoſit. LXXVII.
Page: 138 (100)
[123.] COROLLARIVM.
Page: 143 (105)
[124.] SECTIO DECIMAQVINTA Continens Propoſ. XXXXI. XXXXII. XXXXIII. Apollonij. PROPOSITIO XXXXI.
Page: 147 (109)
[125.] PROPOSITO XXXXII.
Page: 147 (109)
[126.] PROPOSITIO XXXXIII.
Page: 148 (110)
[127.] Notæ in Propoſ. XXXXI.
Page: 148 (110)
[128.] Notæ in Propoſ. XXXXII.
Page: 149 (111)
[129.] Notæ in Propoſit. XXXXIII.
Page: 149 (111)
[130.] SECTIO DECIMASEXTA Continens XVI. XVII. XVIII. Propoſ. Apollonij.
Page: 150 (112)
< >
page |< < (41) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div166" type="section" level="1" n="69">
          <p style="it">
            <s xml:id="echoid-s2050" xml:space="preserve">
              <pb o="41" file="0079" n="79" rhead="Conicor. Lib. V."/>
              <figure xlink:label="fig-0079-01" xlink:href="fig-0079-01a" number="55">
                <image file="0079-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0079-01"/>
              </figure>
            auferatur in ellipſi; </s>
            <s xml:id="echoid-s2051" xml:space="preserve">quare C A ad A L non habet maiorem proportionem, quàm
              <lb/>
            ad A D, & </s>
            <s xml:id="echoid-s2052" xml:space="preserve">componendo in hyperbola, & </s>
            <s xml:id="echoid-s2053" xml:space="preserve">diuidendo in ellipſi C L ad A L, non
              <lb/>
            habet maiorem proportionem, quàm C D ad D A, ſed C D ad A D minorem
              <lb/>
            proportionem habet, quam ad eius ſegmentum I D, ergo diuidendo in hyperbo-
              <lb/>
            la, & </s>
            <s xml:id="echoid-s2054" xml:space="preserve">componendo in ellipſi habebit A C ad A D, & </s>
            <s xml:id="echoid-s2055" xml:space="preserve">adhuc ad A L, ſeu A H
              <lb/>
            minorem proportionem, quàm C I ad I D, habet verò C I ad I D minorem ra-
              <lb/>
            tionem, quàm ad eius ſegmentum I F; </s>
            <s xml:id="echoid-s2056" xml:space="preserve">igitur C I ad I F maiorem proportionem
              <lb/>
            habet, quàm C A ad A H.</s>
            <s xml:id="echoid-s2057" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div172" type="section" level="1" n="70">
          <head xml:id="echoid-head102" xml:space="preserve">Notæ in Propoſit. LI.</head>
          <p style="it">
            <s xml:id="echoid-s2058" xml:space="preserve">DIco quod nul-
              <lb/>
              <note position="left" xlink:label="note-0079-01" xlink:href="note-0079-01a" xml:space="preserve">a</note>
              <figure xlink:label="fig-0079-02" xlink:href="fig-0079-02a" number="56">
                <image file="0079-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0079-02"/>
              </figure>
            lus ramus bre
              <lb/>
            uiſecans duci po-
              <lb/>
            teſt, &</s>
            <s xml:id="echoid-s2059" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2060" xml:space="preserve">Dico, quod
              <lb/>
            ex concurſu E ad ſe-
              <lb/>
            ctionem nullus ra-
              <lb/>
            musbreuiſecans duci
              <lb/>
            poteſt.</s>
            <s xml:id="echoid-s2061" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s2062" xml:space="preserve">Quoniam D E
              <lb/>
              <note position="left" xlink:label="note-0079-02" xlink:href="note-0079-02a" xml:space="preserve">b</note>
            maior eſt, quàm H,
              <lb/>
            &</s>
            <s xml:id="echoid-s2063" xml:space="preserve">c. </s>
            <s xml:id="echoid-s2064" xml:space="preserve">Quoniam D E
              <lb/>
            maior eſt, quàm H
              <lb/>
            habebit E D ad B G
              <lb/>
            maiorem rationem,
              <lb/>
            quàm H ad eandem
              <lb/>
            B G; </s>
            <s xml:id="echoid-s2065" xml:space="preserve">poſita autem fuit
              <lb/>
            inuersè G F ad F D,
              <lb/>
            vt H ad B G; </s>
            <s xml:id="echoid-s2066" xml:space="preserve">ergo E D
              <lb/>
            ad B G maiorem ra-
              <lb/>
            tionem habet, quàm
              <lb/>
            G F ad F D; </s>
            <s xml:id="echoid-s2067" xml:space="preserve">& </s>
            <s xml:id="echoid-s2068" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum