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 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
[Figure 151]
Page: 158
[Figure 152]
Page: 159
[Figure 153]
Page: 160
[Figure 154]
Page: 161
[Figure 155]
Page: 162
[Figure 156]
Page: 162
[Figure 157]
Page: 163
[Figure 158]
Page: 164
[Figure 159]
Page: 164
[Figure 160]
Page: 165
[Figure 161]
Page: 165
[Figure 162]
Page: 166
[Figure 163]
Page: 166
[Figure 164]
Page: 167
[Figure 165]
Page: 167
[Figure 166]
Page: 168
[Figure 167]
Page: 169
[Figure 168]
Page: 170
[Figure 169]
Page: 170
[Figure 170]
Page: 172
< >
page |< < (106) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div395" type="section" level="1" n="123">
          <p style="it">
            <s xml:id="echoid-s4279" xml:space="preserve">
              <pb o="106" file="0144" n="144" rhead="Apollonij Pergæi"/>
            D N ſupra, & </s>
            <s xml:id="echoid-s4280" xml:space="preserve">infra breuiſe-
              <lb/>
              <figure xlink:label="fig-0144-01" xlink:href="fig-0144-01a" number="130">
                <image file="0144-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0144-01"/>
              </figure>
            cantem D C, ſecantes circulum
              <lb/>
            O C Q, in O, & </s>
            <s xml:id="echoid-s4281" xml:space="preserve">Q, dummo-
              <lb/>
            do D G non ducatur infra D C
              <lb/>
            in primo caſu, nec ſupra D A
              <lb/>
            in ſecundo. </s>
            <s xml:id="echoid-s4282" xml:space="preserve">Quoniam ramus D
              <lb/>
            A ſupremus duorum breuiſecan-
              <lb/>
            tium maximus eſt omnium ra-
              <lb/>
            morum cadentium ad periphe-
              <lb/>
            riam B A C; </s>
            <s xml:id="echoid-s4283" xml:space="preserve">igitur D A maior
              <lb/>
              <note position="left" xlink:label="note-0144-01" xlink:href="note-0144-01a" xml:space="preserve">72. huius.</note>
            erit, quàm D F, & </s>
            <s xml:id="echoid-s4284" xml:space="preserve">quàm D G;
              <lb/>
            </s>
            <s xml:id="echoid-s4285" xml:space="preserve">ſunt verò D Z, & </s>
            <s xml:id="echoid-s4286" xml:space="preserve">D γ æqua-
              <lb/>
            les eidem D A (cum ſint radij
              <lb/>
            eiuſdem circuli) ergo D Z ma-
              <lb/>
            ior eſt, quàm D F; </s>
            <s xml:id="echoid-s4287" xml:space="preserve">pariterque
              <lb/>
            D γ maior eſt quàm D G: </s>
            <s xml:id="echoid-s4288" xml:space="preserve">& </s>
            <s xml:id="echoid-s4289" xml:space="preserve">
              <lb/>
            propterea duo quælibet puncta
              <lb/>
            Z, γ eiuſdem circuli Z A γ ca-
              <lb/>
            dunt extra coniſectionem B A
              <lb/>
            G; </s>
            <s xml:id="echoid-s4290" xml:space="preserve">& </s>
            <s xml:id="echoid-s4291" xml:space="preserve">ideo circulus Z A γ tan-
              <lb/>
            tummodo in puncto A coniſectio-
              <lb/>
            nem extrinſecus tangit.</s>
            <s xml:id="echoid-s4292" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4293" xml:space="preserve">Poſtea quia ramus D C infimus breuiſecantium eſt minimus omnium ramo-
              <lb/>
            rum cadentium ex D ad peripheriam A C N, ergo ramus D C minor eſt, quàm
              <lb/>
              <note position="left" xlink:label="note-0144-02" xlink:href="note-0144-02a" xml:space="preserve">72. huius.</note>
            D G, & </s>
            <s xml:id="echoid-s4294" xml:space="preserve">quàm D N: </s>
            <s xml:id="echoid-s4295" xml:space="preserve">ſunt vero D O, D Q æquales eidem D C (cum ſint radij
              <lb/>
            eiuſdem circuli) igitur D O minor eſt, quàm D G: </s>
            <s xml:id="echoid-s4296" xml:space="preserve">pariterque D Q minor eſt,
              <lb/>
            quàm D N: </s>
            <s xml:id="echoid-s4297" xml:space="preserve">quare quælibet duo puncta O, Q circuli O C Q hinc inde à puncto
              <lb/>
            C cadunt intra coniſectionem B C N, & </s>
            <s xml:id="echoid-s4298" xml:space="preserve">ideo circulus O C Q intrinſecus con-
              <lb/>
            tingit coniſectionem in C, quod erat oſtendendum.</s>
            <s xml:id="echoid-s4299" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s4300" xml:space="preserve">Si ad coniſectionem,
              <lb/>
              <note position="left" xlink:label="note-0144-03" xlink:href="note-0144-03a" xml:space="preserve">PROP.
                <lb/>
              12.
                <lb/>
              Addit.</note>
              <figure xlink:label="fig-0144-02" xlink:href="fig-0144-02a" number="131">
                <image file="0144-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0144-02"/>
              </figure>
            vel ad portionem qua-
              <lb/>
            drantis ellipſis B A C,
              <lb/>
            ex concurſu D duci non
              <lb/>
            poſsit, niſi vnicus tan-
              <lb/>
            tum breuiſecans D A,
              <lb/>
            atque centro D, interual-
              <lb/>
            lo D A circulus Z A γ
              <lb/>
            deſcribatur; </s>
            <s xml:id="echoid-s4301" xml:space="preserve">Dico, om-
              <lb/>
            nium circulorum tangen-
              <lb/>
            tium eandem rectam li-
              <lb/>
            neam X A P (quàm
              <lb/>
            cõtingit quoque coniſectio
              <lb/>
            in A) vnicum eſſe </s>
          </p>
        </div>
      </text>
    </echo>
Impressum