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

Table of contents

< >
[281.] Notæ in Propoſit. XII.
[282.] Notæ in Propoſit. XIII.
[283.] Notæ in Propoſit. XXIX.
[284.] Notæ in Propoſit. XXX.
[285.] Notæ in Propoſit. XIV. & XXV.
[286.] Notæ in Propoſit. XXVII.
[287.] SECTIO QVINTA Continens Propoſit. XXI. XXVIII. XXXXII. XXXXIII. XXIV. & XXXVII.
[288.] PROPOSITIO XXI. & XXVIII.
[289.] PROPOSITIO XXVI
[290.] PROPOSITIO XXXXII.
[291.] PROPOSITIO XXXXIII.
[292.] PROPOSITIO XXIV.
[293.] PROPOSITIO XXXVII.
[294.] Notę in Propoſit. XXVIII.
[295.] LEMMA. I.
[296.] Notę in Propoſit. XXI.
[297.] Notę in Propoſit. XXXXII.
[298.] Notæ in Propoſit. XXXXIII.
[299.] Notæ in Propoſit. XXIV.
[300.] SECTIO SEXTA Continens Propoſit. XXXIII. XXXIV. XXXV. & XXXVI. PROPOSITIO XXXIII.
[301.] PROPOSITIO XXXIV.
[302.] PROPOSITIO XXXV. & XXXVI.
[303.] In Sectionem VI.
[304.] LEMMA II.
[305.] LEMMA III.
[306.] LEMMA IV.
[307.] LEMMA V.
[308.] Notæ in Propof. XXXIII. & XXXIV.
[309.] Notæ in Propoſit. XXXV.
[310.] SECTIO SEPTIMA Continens Propoſit. XXXVIII. XXXIX. & XXXX. PROPOSITIO XXXVIII.
< >
page |< < (330) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div996" type="section" level="1" n="316">
          <p style="it">
            <s xml:id="echoid-s11611" xml:space="preserve">
              <pb o="330" file="0368" n="369" rhead="Apollonij Pergæi"/>
            permutando vt prius, idem quadratum A C ad quadratum ex Q P R, maiorem
              <lb/>
            proportionem habebit, quàm ad quadratum ex C A F, ſeu ex L I K, & </s>
            <s xml:id="echoid-s11612" xml:space="preserve">pro-
              <lb/>
            pterea ſumma Q P R minor erit, quàm C A F, vel L I K, quæ erat oſten-
              <lb/>
            denda.</s>
            <s xml:id="echoid-s11613" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div998" type="section" level="1" n="317">
          <head xml:id="echoid-head392" xml:space="preserve">Notæ in Propoſit. XXXVIII. XXXIX.</head>
          <p style="it">
            <s xml:id="echoid-s11614" xml:space="preserve">QVia axis C A minor non eſt triente eius erecti A F, eſtq; </s>
            <s xml:id="echoid-s11615" xml:space="preserve">H A ad A G vt C A
              <lb/>
            ad A F, ergo H A æqualis, aut maior eſt parte tertia ipſius A G; </s>
            <s xml:id="echoid-s11616" xml:space="preserve">& </s>
            <s xml:id="echoid-s11617" xml:space="preserve">A H
              <lb/>
            æqualis, aut maior erit, quàm ſemiſſis ipſius H G differentiæ illa-
              <lb/>
            rum, eſtque G H ſecta bifariam in D, ergo H A æqualis, aut maior erit,
              <lb/>
              <figure xlink:label="fig-0368-01" xlink:href="fig-0368-01a" number="437">
                <image file="0368-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0368-01"/>
              </figure>
            quàm D H, eſtque H E maior quàm H A, ergo pariter H E maior eſt, quàm
              <lb/>
              <note position="left" xlink:label="note-0368-01" xlink:href="note-0368-01a" xml:space="preserve">Lem. 6.</note>
            D H, quare rectangulum ſub E D A in A H maius erit quadrato D A, atque
              <lb/>
            ſumma laterum figuræ L I K maior, quàm ſumma laterum figuræ axis C A F.</s>
            <s xml:id="echoid-s11618" xml:space="preserve"/>
          </p>
          <note position="left" xml:space="preserve">Lem. 9.</note>
          <p style="it">
            <s xml:id="echoid-s11619" xml:space="preserve">Similiter quia H M maior eſt, quàm H E, erit quoque H M maior, quàm
              <lb/>
            D H, & </s>
            <s xml:id="echoid-s11620" xml:space="preserve">propterea ex lemma 6. </s>
            <s xml:id="echoid-s11621" xml:space="preserve">& </s>
            <s xml:id="echoid-s11622" xml:space="preserve">9. </s>
            <s xml:id="echoid-s11623" xml:space="preserve">ſumma Q P R maior erit, quàm ſum-
              <lb/>
            ma L I K.</s>
            <s xml:id="echoid-s11624" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div1000" type="section" level="1" n="318">
          <head xml:id="echoid-head393" xml:space="preserve">Notæ in Propoſit. XXXX.</head>
          <p style="it">
            <s xml:id="echoid-s11625" xml:space="preserve">QVia C A minor eſt triente ipſius A F, eſtque H A ad A G vt C A ad A
              <lb/>
            F, ergo H A minor eſt tertia parte ipſius A G, & </s>
            <s xml:id="echoid-s11626" xml:space="preserve">minor ſemiſſe </s>
          </p>
        </div>
      </text>
    </echo>