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

List of thumbnails

< >
221
221 (183) 		222
222 (184)
223
223 (185) 		224
224 (186)
225
225 (187) 		226
226 (188)
227
227 (189) 		228
228 (190)
229
229 (191) 		230
230 (192)
< >
page |< < (223) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div711" type="section" level="1" n="234">
          <p style="it">
            <s xml:id="echoid-s8374" xml:space="preserve">
              <pb o="223" file="0261" n="261" rhead="Conicor. Lib. VI."/>
            ad axim ducantur rami breuiſſimi O B, Q P præter axim A O, & </s>
            <s xml:id="echoid-s8375" xml:space="preserve">ſecent ex-
              <lb/>
              <note position="right" xlink:label="note-0261-01" xlink:href="note-0261-01a" xml:space="preserve">8. 9. & 10.
                <lb/>
              lib. 5.</note>
            ternam curuam in G, E, R, & </s>
            <s xml:id="echoid-s8376" xml:space="preserve">occurſui Z, vel communi asymptoto I M N,
              <lb/>
              <figure xlink:label="fig-0261-01" xlink:href="fig-0261-01a" number="306">
                <image file="0261-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0261-01"/>
              </figure>
            aut vicinioribus asymptotis I K, M N ſit A G propinquior, quàm E B, & </s>
            <s xml:id="echoid-s8377" xml:space="preserve">E B
              <lb/>
            propinquior, quàm R P: </s>
            <s xml:id="echoid-s8378" xml:space="preserve">Oſtendendum eſt curuarum diſtantiam A G minorem
              <lb/>
            eße, quàm B E, & </s>
            <s xml:id="echoid-s8379" xml:space="preserve">B E, quàm P R. </s>
            <s xml:id="echoid-s8380" xml:space="preserve">Ducantur interceptæ G S parallela E B,
              <lb/>
            & </s>
            <s xml:id="echoid-s8381" xml:space="preserve">E X parallela R P. </s>
            <s xml:id="echoid-s8382" xml:space="preserve">Et quia in parabola angulus Y D A rectus ſupponitur,
              <lb/>
              <note position="right" xlink:label="note-0261-02" xlink:href="note-0261-02a" xml:space="preserve">SCHO-
                <lb/>
              LIVM.
                <lb/>
              Prop. 6.
                <lb/>
              addit.</note>
            & </s>
            <s xml:id="echoid-s8383" xml:space="preserve">in hyperbola non eſt minor ſemirecto, ergo quilibet ramus breuiſſimus E B,
              <lb/>
            vel R P æquidiſtans erit rectæ lineæ diuidenti angulum A D Y in parabsla, & </s>
            <s xml:id="echoid-s8384" xml:space="preserve">
              <lb/>
            angulum M I H in hyperbola; </s>
            <s xml:id="echoid-s8385" xml:space="preserve">ſed duarum parallelarum E B, G S, vel R P,
              <lb/>
            E X eſt G S vertici propinquior, vel vlterius tendit ad partes asymptoti I K,
              <lb/>
            quàm E B; </s>
            <s xml:id="echoid-s8386" xml:space="preserve">ergo G S minor eſt, quàm E B; </s>
            <s xml:id="echoid-s8387" xml:space="preserve">eſtque G A minor, quàm G S, quia
              <lb/>
              <note position="right" xlink:label="note-0261-03" xlink:href="note-0261-03a" xml:space="preserve">Prop. 3. 4.
                <lb/>
              addit.
                <lb/>
              7. & 38.
                <lb/>
              lib. 5.</note>
            illa eſt portio, vel productio lineæ breuiſſimæ O A; </s>
            <s xml:id="echoid-s8388" xml:space="preserve">igitur G A adhuc minor erit
              <lb/>
              <figure xlink:label="fig-0261-02" xlink:href="fig-0261-02a" number="307">
                <image file="0261-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0261-02"/>
              </figure>
            quàm E B. </s>
            <s xml:id="echoid-s8389" xml:space="preserve">Eadem ratione E B minor oſtendetur, quàm R P. </s>
            <s xml:id="echoid-s8390" xml:space="preserve">Poſtea ſi occur-
              <lb/>
            ſus Z cadit extra duos axes, inter axim A G, & </s>
            <s xml:id="echoid-s8391" xml:space="preserve">occurſum aut ad partes </s>
          </p>
        </div>
      </text>
    </echo>
Impressum