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
291 253
292 254
293 255
294 256
295 257
296 258
297 259
298 260
299 261
300 262
301 263
302 264
303 265
304 266
305 267
306 268
307 269
308 270
309 271
310 272
311 273
312 274
313 275
314 276
315 277
316 278
317 279
318 280
319 281
320 282
< >
page |< < (193) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div668" type="section" level="1" n="222">
          <p style="it">
            <s xml:id="echoid-s7313" xml:space="preserve">
              <pb o="193" file="0231" n="231" rhead="Conicor. Lib. VI."/>
            gulos æquales; </s>
            <s xml:id="echoid-s7314" xml:space="preserve">ij verò anguli æquales ſunt angulis O, & </s>
            <s xml:id="echoid-s7315" xml:space="preserve">N, cum baſes L M, & </s>
            <s xml:id="echoid-s7316" xml:space="preserve">
              <lb/>
            A E parallelæ ſint contingentibus verticalibus eorundem ſegmentorum; </s>
            <s xml:id="echoid-s7317" xml:space="preserve">igitur an-
              <lb/>
            guli L O B, & </s>
            <s xml:id="echoid-s7318" xml:space="preserve">A N B æquales ſunt inter ſe; </s>
            <s xml:id="echoid-s7319" xml:space="preserve">& </s>
            <s xml:id="echoid-s7320" xml:space="preserve">propterea duorum ſegmentorũ
              <lb/>
            baſes L M, & </s>
            <s xml:id="echoid-s7321" xml:space="preserve">A E parallelæ ſunt inter ſe.</s>
            <s xml:id="echoid-s7322" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div671" type="section" level="1" n="223">
          <head xml:id="echoid-head281" xml:space="preserve">SECTIO OCTAVA</head>
          <head xml:id="echoid-head282" xml:space="preserve">Continens Propoſit. XX. & XXI.
            <lb/>
          Apollonij.</head>
          <head xml:id="echoid-head283" xml:space="preserve">PROPOSITIO XX.</head>
          <p>
            <s xml:id="echoid-s7323" xml:space="preserve">SI in quibuslibet ſimilibus coniſectionibus A B C, & </s>
            <s xml:id="echoid-s7324" xml:space="preserve">D E F
              <lb/>
              <note position="left" xlink:label="note-0231-01" xlink:href="note-0231-01a" xml:space="preserve">a</note>
            ductæ fuerint ad axes B O, E Q ordinatim applicatæ A C,
              <lb/>
            D F, N L, P M, quarum illæ, quæ ad eaſdem partes verticum
              <lb/>
            B, & </s>
            <s xml:id="echoid-s7325" xml:space="preserve">E ducuntur efficiant abſciſſas erectis proportionales, ſci-
              <lb/>
            licet I B ad B G ſit, vt K E ad E H, nec non L B ad B G, vt
              <lb/>
            M E ad E H: </s>
            <s xml:id="echoid-s7326" xml:space="preserve">Dico ſegmenta facta ab ordinatis ſimiliter poſi-
              <lb/>
            tis eſſe inter ſe ſimilia, ac ſimiliter poſita, ſcilicet N A ipſi P D,
              <lb/>
            atque A B ipſi D E, nec non N B ipſi P E.</s>
            <s xml:id="echoid-s7327" xml:space="preserve"/>
          </p>
          <figure number="261">
            <image file="0231-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0231-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s7328" xml:space="preserve">Sintque primò ſectiones parabolæ; </s>
            <s xml:id="echoid-s7329" xml:space="preserve">& </s>
            <s xml:id="echoid-s7330" xml:space="preserve">educamus N A ad B L in O, & </s>
            <s xml:id="echoid-s7331" xml:space="preserve">
              <lb/>
              <note position="left" xlink:label="note-0231-02" xlink:href="note-0231-02a" xml:space="preserve">b</note>
            P D ad M E in Q. </s>
            <s xml:id="echoid-s7332" xml:space="preserve">Et quia G B ad B I eſt, vt H E ad E K, & </s>
            <s xml:id="echoid-s7333" xml:space="preserve">B L ad
              <lb/>
            B G eſt vt M E ad E H; </s>
            <s xml:id="echoid-s7334" xml:space="preserve">ergo L B ad B I, nempe L N ad I A potentia
              <lb/>
            (19. </s>
            <s xml:id="echoid-s7335" xml:space="preserve">ex 1.) </s>
            <s xml:id="echoid-s7336" xml:space="preserve">nempe L N ad O I eandem proportionem habet, quàm M E
              <lb/>
              <note position="right" xlink:label="note-0231-03" xlink:href="note-0231-03a" xml:space="preserve">20. lib. 1.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum