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 |< < (315) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div956" type="section" level="1" n="300">
          <p>
            <s xml:id="echoid-s11261" xml:space="preserve">
              <pb o="315" file="0353" n="354" rhead="Conicor. Lib. VII."/>
            ergo A F minor eſt, quàm I K, & </s>
            <s xml:id="echoid-s11262" xml:space="preserve">I K minor quàm P R. </s>
            <s xml:id="echoid-s11263" xml:space="preserve">Si verò A C
              <lb/>
              <note position="right" xlink:label="note-0353-01" xlink:href="note-0353-01a" xml:space="preserve">21. huins.</note>
            maior eſt, quàm A F eſſet I L maior, quàm I K: </s>
            <s xml:id="echoid-s11264" xml:space="preserve">& </s>
            <s xml:id="echoid-s11265" xml:space="preserve">I L ad I K mino-
              <lb/>
            rem proportionem habebit, quàm A C ad A F (28. </s>
            <s xml:id="echoid-s11266" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11267" xml:space="preserve">& </s>
            <s xml:id="echoid-s11268" xml:space="preserve">I L ma-
              <lb/>
            ior eſt quàm A C; </s>
            <s xml:id="echoid-s11269" xml:space="preserve">igitur A F minor eſt, quàm I K: </s>
            <s xml:id="echoid-s11270" xml:space="preserve">atquè ſimiliter pa-
              <lb/>
            tebit I K minorem eſſe quàm P R, & </s>
            <s xml:id="echoid-s11271" xml:space="preserve">P R, quàm S Z.</s>
            <s xml:id="echoid-s11272" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div958" type="section" level="1" n="301">
          <head xml:id="echoid-head374" xml:space="preserve">PROPOSITIO XXXIV.</head>
          <p>
            <s xml:id="echoid-s11273" xml:space="preserve">D Einde ſit A C minor, quàm A F, dummodò minor non ſit dimi-
              <lb/>
            dio eius: </s>
            <s xml:id="echoid-s11274" xml:space="preserve">& </s>
            <s xml:id="echoid-s11275" xml:space="preserve">ſecentur duæ præſectæ A H, C G, quæ erunt æqua-
              <lb/>
            les; </s>
            <s xml:id="echoid-s11276" xml:space="preserve">pariterque A G, C H interceptæ æquales; </s>
            <s xml:id="echoid-s11277" xml:space="preserve">ponaturque linea γ æqua-
              <lb/>
            lis ſummæ G E, G A. </s>
            <s xml:id="echoid-s11278" xml:space="preserve">Et quia A G non eſt maior duplo A H, & </s>
            <s xml:id="echoid-s11279" xml:space="preserve">γ maior
              <lb/>
              <figure xlink:label="fig-0353-01" xlink:href="fig-0353-01a" number="419">
                <image file="0353-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0353-01"/>
              </figure>
            eſt duplo A G, erit γ in A H maius, quàm quadratũ A G; </s>
            <s xml:id="echoid-s11280" xml:space="preserve">igitur γ in A
              <lb/>
            E ad γ in A H, nempe E A ad A H minorem proportionẽ habebit, quã
              <lb/>
            γ in A E ad quadratum A G; </s>
            <s xml:id="echoid-s11281" xml:space="preserve">ideoquè E H ad H A, nẽpe E H in H A ad
              <lb/>
            quadratum A H minorẽ proportionẽ habebit, quàm γ, ſeu eidem æqules
              <lb/>
            E G, G A in A E, cum quadrato A G (quæ ſunt æqualia quadrato G E)
              <lb/>
            ad quadratum A G; </s>
            <s xml:id="echoid-s11282" xml:space="preserve">ergo E H in H A ad quadratum E G, ſeu (vt
              <lb/>
            oſtenſum eſt in 15. </s>
            <s xml:id="echoid-s11283" xml:space="preserve">ex 7.) </s>
            <s xml:id="echoid-s11284" xml:space="preserve">quadratum A C ad quadratum I K minorem
              <lb/>
            proportionem habebit, quàm quadratum A H ad quadratũ A G, ſeu quã
              <lb/>
            quadratum A C ad quadratum A F. </s>
            <s xml:id="echoid-s11285" xml:space="preserve">Igitur A C ad I K minorem pro-
              <lb/>
            portionem habet, quàm ad A F; </s>
            <s xml:id="echoid-s11286" xml:space="preserve">& </s>
            <s xml:id="echoid-s11287" xml:space="preserve">propterea A F minor eſt quàm I K.</s>
            <s xml:id="echoid-s11288" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum