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 figures

< >
[Figure 121]
Page: 137
[Figure 122]
Page: 138
[Figure 123]
Page: 138
[Figure 124]
Page: 139
[Figure 125]
Page: 140
[Figure 126]
Page: 141
[Figure 127]
Page: 142
[Figure 128]
Page: 142
[Figure 129]
Page: 143
[Figure 130]
Page: 144
[Figure 131]
Page: 144
[Figure 132]
Page: 145
[Figure 133]
Page: 146
[Figure 134]
Page: 147
[Figure 135]
Page: 148
[Figure 136]
Page: 150
[Figure 137]
Page: 150
[Figure 138]
Page: 151
[Figure 139]
Page: 151
[Figure 140]
Page: 152
[Figure 141]
Page: 153
[Figure 142]
Page: 153
[Figure 143]
Page: 154
[Figure 144]
Page: 154
[Figure 145]
Page: 155
[Figure 146]
Page: 155
[Figure 147]
Page: 156
[Figure 148]
Page: 156
[Figure 149]
Page: 157
[Figure 150]
Page: 158
< >
page |< < (179) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div641" type="section" level="1" n="213">
          <p>
            <s xml:id="echoid-s6850" xml:space="preserve">
              <pb o="179" file="0217" n="217" rhead="Conicor. Lib. VI."/>
              <figure xlink:label="fig-0217-01" xlink:href="fig-0217-01a" number="241">
                <image file="0217-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0217-01"/>
              </figure>
            vt Y c in c F ad quadratum C c ( 39. </s>
            <s xml:id="echoid-s6851" xml:space="preserve">ex 1. </s>
            <s xml:id="echoid-s6852" xml:space="preserve">) quæ habent eandem pro-
              <lb/>
              <note position="right" xlink:label="note-0217-01" xlink:href="note-0217-01a" xml:space="preserve">37. lib. I.
                <lb/>
              12. huius.</note>
            portionem, quàm figuræ axis habent, & </s>
            <s xml:id="echoid-s6853" xml:space="preserve">angulus F ſuppoſitus eſt æqualis
              <lb/>
            E: </s>
            <s xml:id="echoid-s6854" xml:space="preserve">ergò Y c C ſimile eſt V a A: </s>
            <s xml:id="echoid-s6855" xml:space="preserve">& </s>
            <s xml:id="echoid-s6856" xml:space="preserve">propterea angulus Y æqualis eſt V,
              <lb/>
              <note position="left" xlink:label="note-0217-02" xlink:href="note-0217-02a" xml:space="preserve">b</note>
              <note position="right" xlink:label="note-0217-03" xlink:href="note-0217-03a" xml:space="preserve">6. præmiſ.
                <lb/>
              huius.</note>
            & </s>
            <s xml:id="echoid-s6857" xml:space="preserve">angulus F C Y æqualis E A V: </s>
            <s xml:id="echoid-s6858" xml:space="preserve">& </s>
            <s xml:id="echoid-s6859" xml:space="preserve">propter ſimilitudinem N D Y, L B
              <lb/>
            V æquales ſunt duo anguli C N S, A L R; </s>
            <s xml:id="echoid-s6860" xml:space="preserve">ergo ſimilia ſunt C N S, A L
              <lb/>
            R. </s>
            <s xml:id="echoid-s6861" xml:space="preserve">Quare C S aſſumpta ad ei coniugatam C N eſt vt R A ad A L: </s>
            <s xml:id="echoid-s6862" xml:space="preserve">& </s>
            <s xml:id="echoid-s6863" xml:space="preserve">po-
              <lb/>
            namus C Q ad duplam C F, vt C S ad C N, nec non A P ad duplam
              <lb/>
            A E, vt A R ad A L; </s>
            <s xml:id="echoid-s6864" xml:space="preserve">igitur Q C, A P ſunt erecti duarum diametrorum
              <lb/>
            C Y X, A V T ( 53. </s>
            <s xml:id="echoid-s6865" xml:space="preserve">54. </s>
            <s xml:id="echoid-s6866" xml:space="preserve">ex I. </s>
            <s xml:id="echoid-s6867" xml:space="preserve">) ſed C F ad C X duplam ipſius C Y eſt
              <lb/>
              <note position="right" xlink:label="note-0217-04" xlink:href="note-0217-04a" xml:space="preserve">50. lib. I.</note>
            vt A E ad A T duplam ipſius A V, propter ſimilitudinem C F Y, A E V:
              <lb/>
            </s>
            <s xml:id="echoid-s6868" xml:space="preserve">ergo ex æqualitate Q C ad C X diametrum inclinatam, ſeu tranſuerſam
              <lb/>
            eſt vt A P ad A T; </s>
            <s xml:id="echoid-s6869" xml:space="preserve">& </s>
            <s xml:id="echoid-s6870" xml:space="preserve">propterea figuræ earundem diametrorumſunt ſimi-
              <lb/>
              <note position="left" xlink:label="note-0217-05" xlink:href="note-0217-05a" xml:space="preserve">c</note>
            les, & </s>
            <s xml:id="echoid-s6871" xml:space="preserve">quia CO
              <lb/>
              <figure xlink:label="fig-0217-02" xlink:href="fig-0217-02a" number="242">
                <image file="0217-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0217-02"/>
              </figure>
            ad C F ſuppoſi-
              <lb/>
            ta eſt, vt A M
              <lb/>
            ad A E: </s>
            <s xml:id="echoid-s6872" xml:space="preserve">ergo ex
              <lb/>
            æqualitate Q C
              <lb/>
            ad C O eſt, vt
              <lb/>
            P A ad A M:
              <lb/>
            </s>
            <s xml:id="echoid-s6873" xml:space="preserve">Quare potentes
              <lb/>
            ad duo eius ab-
              <lb/>
            ſciſſa C O, A M,
              <lb/>
            à quibus diuidũ-
              <lb/>
            tur bifariam, eã-
              <lb/>
            dem proportio-
              <lb/>
            nem habent: </s>
            <s xml:id="echoid-s6874" xml:space="preserve">& </s>
            <s xml:id="echoid-s6875" xml:space="preserve">
              <lb/>
            proportio </s>
          </p>
        </div>
      </text>
    </echo>
Impressum