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
221 183
222 184
223 185
224 186
225 187
226 188
227 189
228 190
229 191
230 192
231 193
232 194
233 195
234 196
235 197
236 198
237 199
238 200
239 201
240 202
241 203
242 204
243 205
244 206
245 207
246 208
247 209
248 210
249 211
250 212
< >
page |< < (246) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div774" type="section" level="1" n="240">
          <pb o="246" file="0284" n="284" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div781" type="section" level="1" n="241">
          <head xml:id="echoid-head302" xml:space="preserve">Notæ in Propoſit. XXVIII.</head>
          <p>
            <s xml:id="echoid-s9219" xml:space="preserve">DEinde ſit ſectio elliptica, vt A B, & </s>
            <s xml:id="echoid-s9220" xml:space="preserve">axis eius tranſuerſus B D, & </s>
            <s xml:id="echoid-s9221" xml:space="preserve">
              <lb/>
              <note position="right" xlink:label="note-0284-01" xlink:href="note-0284-01a" xml:space="preserve">a</note>
            erectus illius B E; </s>
            <s xml:id="echoid-s9222" xml:space="preserve">& </s>
            <s xml:id="echoid-s9223" xml:space="preserve">ſit triãgulum coni H F I, & </s>
            <s xml:id="echoid-s9224" xml:space="preserve">circumducamus
              <lb/>
            circa illum circulum, & </s>
            <s xml:id="echoid-s9225" xml:space="preserve">educamus ex F lineam F L K occurrentem ipſi
              <lb/>
            extra circulum in K; </s>
            <s xml:id="echoid-s9226" xml:space="preserve">& </s>
            <s xml:id="echoid-s9227" xml:space="preserve">occurrat circulo in L ita vt ſit F K ad K L, vt
              <lb/>
            D B ad B E; </s>
            <s xml:id="echoid-s9228" xml:space="preserve">& </s>
            <s xml:id="echoid-s9229" xml:space="preserve">eſt facile ( vti demonſtrauimus in 59. </s>
            <s xml:id="echoid-s9230" xml:space="preserve">ex I.)</s>
            <s xml:id="echoid-s9231" xml:space="preserve">, &</s>
            <s xml:id="echoid-s9232" xml:space="preserve">c.</s>
            <s xml:id="echoid-s9233" xml:space="preserve"/>
          </p>
          <figure number="331">
            <image file="0284-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0284-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s9234" xml:space="preserve">Senſus propoſitionis hic erit. </s>
            <s xml:id="echoid-s9235" xml:space="preserve">In cono recto, cuius triangulum per axim H F I
              <lb/>
            reperire ſectionem æqualem datæ ellipſi A B, cuius axis tranſuerſus D B, & </s>
            <s xml:id="echoid-s9236" xml:space="preserve">
              <lb/>
            latus rectum B E. </s>
            <s xml:id="echoid-s9237" xml:space="preserve">In conſtructione poſtea duci debet recta linea F L K extra
              <lb/>
            circulum, & </s>
            <s xml:id="echoid-s9238" xml:space="preserve">triangulum ad vtraſque partes, alias conſtructio non eſſet perfecta.</s>
            <s xml:id="echoid-s9239" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9240" xml:space="preserve">Lemma verò, quod repoſuiſſe, dicit Arabicus interpres in I. </s>
            <s xml:id="echoid-s9241" xml:space="preserve">libro, ab hoc
              <lb/>
            ſequenti for ſam diuerſum non erit.</s>
            <s xml:id="echoid-s9242" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div783" type="section" level="1" n="242">
          <head xml:id="echoid-head303" xml:space="preserve">LEMMAX.</head>
          <p style="it">
            <s xml:id="echoid-s9243" xml:space="preserve">SEcetur latus F I in S, vt ſit F I
              <lb/>
              <figure xlink:label="fig-0284-02" xlink:href="fig-0284-02a" number="332">
                <image file="0284-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0284-02"/>
              </figure>
            ad I S in eadem ratione, quàm
              <lb/>
            habet axis tranſuerſus D B ad latus re-
              <lb/>
            ctum B E: </s>
            <s xml:id="echoid-s9244" xml:space="preserve">& </s>
            <s xml:id="echoid-s9245" xml:space="preserve">ducatur S L æquidiſtans
              <lb/>
            trianguli baſi H I, quæ ſecet circulum ex
              <lb/>
            vtraque parte in L, & </s>
            <s xml:id="echoid-s9246" xml:space="preserve">coniungantur re-
              <lb/>
            ctæ lineæ F L, producanturque quoſquè
              <lb/>
            ſecent baſim H I in punctis K.</s>
            <s xml:id="echoid-s9247" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s9248" xml:space="preserve">Quoniam in triangulo F I K ducitur recta
              <lb/>
            linea S L æquidiſtans baſi I K, erit F I </s>
          </p>
        </div>
      </text>
    </echo>
Impressum