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
261 223
262 224
263 225
264 226
265 227
266 228
267 229
268 230
269 231
270 232
271 233
272 234
273 235
274 236
275 237
276 238
277 239
278 240
279 241
280 242
281 243
282 244
283 245
284 246
285 247
286 248
287 249
288 250
289 251
290 252
< >
page |< < (363) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1071" type="section" level="1" n="338">
          <p style="it">
            <s xml:id="echoid-s12454" xml:space="preserve">
              <pb o="363" file="0401" n="402" rhead="Conicor. Lib. VII."/>
            gulum ſub E X, & </s>
            <s xml:id="echoid-s12455" xml:space="preserve">G H, & </s>
            <s xml:id="echoid-s12456" xml:space="preserve">permutando rectangulum M H A ad rectangulum
              <lb/>
              <note position="right" xlink:label="note-0401-01" xlink:href="note-0401-01a" xml:space="preserve">Lem. 16.
                <lb/>
              huius.</note>
            ſub γ M, & </s>
            <s xml:id="echoid-s12457" xml:space="preserve">G H, ſeu ad differentiam quadratorum ex H M, & </s>
            <s xml:id="echoid-s12458" xml:space="preserve">ex M G
              <lb/>
            eandem proportionem habebit, quàm rectangulum E H A ad rectangulum ſub
              <lb/>
              <note position="right" xlink:label="note-0401-02" xlink:href="note-0401-02a" xml:space="preserve">Ibidem.</note>
            E X, & </s>
            <s xml:id="echoid-s12459" xml:space="preserve">ſub G H, ſeu ad differentiam quadratorum ex H E, & </s>
            <s xml:id="echoid-s12460" xml:space="preserve">ex E G: </s>
            <s xml:id="echoid-s12461" xml:space="preserve">eſt
              <lb/>
            verò quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12462" xml:space="preserve">ex P R, vt
              <lb/>
              <note position="right" xlink:label="note-0401-03" xlink:href="note-0401-03a" xml:space="preserve">Prop. 20.
                <lb/>
              huius.</note>
            rectangulum M H A ad differentiam quadratorum ex H M, & </s>
            <s xml:id="echoid-s12463" xml:space="preserve">ex M G, pa-
              <lb/>
            riterque idem quadratum A C ad differentiã quadratorum ex I L, & </s>
            <s xml:id="echoid-s12464" xml:space="preserve">ex I K
              <lb/>
              <note position="right" xlink:label="note-0401-04" xlink:href="note-0401-04a" xml:space="preserve">Ibidem.</note>
            eſt, vt rectangulum E H A ad differentiam quadratorum ex H E, & </s>
            <s xml:id="echoid-s12465" xml:space="preserve">ex E
              <lb/>
            G, igitur idem quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12466" xml:space="preserve">ex
              <lb/>
            P R eandem proportionem habet, quàm ad differentiam quadratorum ex I L,
              <lb/>
            & </s>
            <s xml:id="echoid-s12467" xml:space="preserve">ex I K, & </s>
            <s xml:id="echoid-s12468" xml:space="preserve">propterea differentia quadratorum ex Q P, & </s>
            <s xml:id="echoid-s12469" xml:space="preserve">ex P R æqualis
              <lb/>
            eſt quadratorum differentiæ ex I L, & </s>
            <s xml:id="echoid-s12470" xml:space="preserve">ex I K, ſiue æqualis eſt quadratorum
              <lb/>
            differentiæ ex A C, & </s>
            <s xml:id="echoid-s12471" xml:space="preserve">ex A F.</s>
            <s xml:id="echoid-s12472" xml:space="preserve"/>
          </p>
          <figure number="474">
            <image file="0401-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0401-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s12473" xml:space="preserve">Secundo H M ad M D minorem proportionem habeat, quàm H E ad D E,
              <lb/>
            vt prius permutando habebit H M ad H E minorem proportionem, quàm D M
              <lb/>
            ad D E, ſeu quàm duplum M γ ad duplum E X, & </s>
            <s xml:id="echoid-s12474" xml:space="preserve">ſumptis communibus al-
              <lb/>
            titudinibus H A ad G H, & </s>
            <s xml:id="echoid-s12475" xml:space="preserve">permutando ex lem. </s>
            <s xml:id="echoid-s12476" xml:space="preserve">16. </s>
            <s xml:id="echoid-s12477" xml:space="preserve">& </s>
            <s xml:id="echoid-s12478" xml:space="preserve">propoſit. </s>
            <s xml:id="echoid-s12479" xml:space="preserve">20. </s>
            <s xml:id="echoid-s12480" xml:space="preserve">huius,
              <lb/>
            idem quadratum A C ad differentiam quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12481" xml:space="preserve">ex P R mino-
              <lb/>
            rem proportionem habebit, quàm ad differentiam quadratorum ex I L, & </s>
            <s xml:id="echoid-s12482" xml:space="preserve">ex
              <lb/>
            I K, quapropter differentia quadratorum ex P Q, & </s>
            <s xml:id="echoid-s12483" xml:space="preserve">ex P R maior erit, quàm
              <lb/>
            differentia quadratorum ex I L, & </s>
            <s xml:id="echoid-s12484" xml:space="preserve">ex I K, ſeu maior, quàm differentia qua-
              <lb/>
            dratorum ex A C, & </s>
            <s xml:id="echoid-s12485" xml:space="preserve">ex A F.</s>
            <s xml:id="echoid-s12486" xml:space="preserve"/>
          </p>
        </div>
      </text>
    </echo>
Impressum