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
241 203
242 204
243 205
244 206
245 207
246 208
247 209
248 210
249 211
250 212
251 213
252 214
253 215
254 216
255 217
256 218
257 219
258 220
259 221
260 222
261 223
262 224
263 225
264 226
265 227
266 228
267 229
268 230
269 231
270 232
< >
page |< < (191) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div659" type="section" level="1" n="220">
          <p style="it">
            <s xml:id="echoid-s7252" xml:space="preserve">
              <pb o="191" file="0229" n="229" rhead="Conicor. Lib. VI."/>
            ad A M eandem
              <lb/>
              <figure xlink:label="fig-0229-01" xlink:href="fig-0229-01a" number="257">
                <image file="0229-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0229-01"/>
              </figure>
            proportionem ha-
              <lb/>
            bebit, quàm X O
              <lb/>
            C ad quadratum
              <lb/>
            O C, ſeu eandẽ,
              <lb/>
            quàm habet X O
              <lb/>
            ad C O, & </s>
            <s xml:id="echoid-s7253" xml:space="preserve">com-
              <lb/>
            parando conſequẽ
              <lb/>
            tes ad differẽtias
              <lb/>
            terminorum M A
              <lb/>
            ad A T eandem
              <lb/>
            proportionem ha-
              <lb/>
            bebit, quàm O C
              <lb/>
            ad C X: </s>
            <s xml:id="echoid-s7254" xml:space="preserve">erat autẽ
              <lb/>
            prius T A ad A
              <lb/>
            E, vt X C ad C F; </s>
            <s xml:id="echoid-s7255" xml:space="preserve">igitur ex æquali M A ad A E erit, vt O C ad C F, & </s>
            <s xml:id="echoid-s7256" xml:space="preserve">fue-
              <lb/>
            runt oſtenſi anguli E, & </s>
            <s xml:id="echoid-s7257" xml:space="preserve">F æquales. </s>
            <s xml:id="echoid-s7258" xml:space="preserve">Quod erat oſtendendum.</s>
            <s xml:id="echoid-s7259" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div665" type="section" level="1" n="221">
          <head xml:id="echoid-head278" xml:space="preserve">SECTIO SEPTIMA</head>
          <head xml:id="echoid-head279" xml:space="preserve">Continens Propoſit. XVIII. & XIX.</head>
          <p>
            <s xml:id="echoid-s7260" xml:space="preserve">CViuslibet ſectionis A B C duo ſegmenta C F, A E ca-
              <lb/>
            dentia inter duas ordinationes A C, E F ad vtraſque par-
              <lb/>
            tes axis B V ſunt inter ſe ſimilia, & </s>
            <s xml:id="echoid-s7261" xml:space="preserve">ſimiliter poſita, nec ſunt
              <lb/>
            ſimilia alteri ſegmento (niſi
              <lb/>
              <figure xlink:label="fig-0229-02" xlink:href="fig-0229-02a" number="258">
                <image file="0229-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0229-02"/>
              </figure>
            in ellipſi, in qua quatuor ſeg
              <lb/>
            menta memorata in propo-
              <lb/>
            ſitione 8. </s>
            <s xml:id="echoid-s7262" xml:space="preserve">ſunt æqualia, ſimi-
              <lb/>
            lia, & </s>
            <s xml:id="echoid-s7263" xml:space="preserve">ſimiliter poſita, quæ al-
              <lb/>
            teri ſegmẽto ſimilia nõ ſunt.</s>
            <s xml:id="echoid-s7264" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s7265" xml:space="preserve">Quoniam vnumquodque eo-
              <lb/>
              <note position="left" xlink:label="note-0229-01" xlink:href="note-0229-01a" xml:space="preserve">a</note>
            rum alteri congruit, nec non cõ-
              <lb/>
            gruunt duo ſegmenta GI, K H
              <lb/>
            in ellipſi (7. </s>
            <s xml:id="echoid-s7266" xml:space="preserve">8. </s>
            <s xml:id="echoid-s7267" xml:space="preserve">ex 6.) </s>
            <s xml:id="echoid-s7268" xml:space="preserve">at non ſunt
              <lb/>
            ſimilia alteri ſegmento: </s>
            <s xml:id="echoid-s7269" xml:space="preserve">ſi enim
              <lb/>
            hoc fieri poteſt, ſit ſegmentum
              <lb/>
            L M ſimile ſegmento F C. </s>
            <s xml:id="echoid-s7270" xml:space="preserve">Et
              <lb/>
            quia F C congruit A E. </s>
            <s xml:id="echoid-s7271" xml:space="preserve">Ergo
              <lb/>
            duo ſegmenta L M, A E ſunt
              <lb/>
            ſimilia, producamus A E, L M
              <lb/>
            quouſque occurrant axi in N,
              <lb/>
              <note position="left" xlink:label="note-0229-02" xlink:href="note-0229-02a" xml:space="preserve">b</note>
            O, erit angulus N æqualis O (vti
              <lb/>
            demonſtrauimus in 16. </s>
            <s xml:id="echoid-s7272" xml:space="preserve">& </s>
            <s xml:id="echoid-s7273" xml:space="preserve">17.</s>
            <s xml:id="echoid-s7274" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum