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

< >
[271.] Notæ in Propoſit. IX.
[272.] Notæ in Propoſit. X.
[273.] Notæ in Propoſit. XI.
[274.] Notæ in Propoſit. XV.
[275.] Notæ in Propoſit. XIX.
[276.] Notæ in Propoſit. XVI.
[277.] Notæ in Propoſit. XVIII.
[278.] Notæ in Propoſit. XVII.
[279.] Notæ in Propoſit. XX.
[280.] SECTIO QVARTA Continens Propoſit. Apollonij XII. XIII. XXIX. XVII. XXII. XXX. XIV. & XXV.
[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.
< >
page |< < (368) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1082" type="section" level="1" n="342">
          <p style="it">
            <s xml:id="echoid-s12551" xml:space="preserve">
              <pb o="368" file="0406" n="407" rhead="Apollonij Pergæi"/>
            C E, & </s>
            <s xml:id="echoid-s12552" xml:space="preserve">C M, termini E, & </s>
            <s xml:id="echoid-s12553" xml:space="preserve">M cadent inter D, & </s>
            <s xml:id="echoid-s12554" xml:space="preserve">A, & </s>
            <s xml:id="echoid-s12555" xml:space="preserve">M cadat inter
              <lb/>
            E & </s>
            <s xml:id="echoid-s12556" xml:space="preserve">D, propterea M H ad M D maiorem proportionem habebit, quàm H E
              <lb/>
              <figure xlink:label="fig-0406-01" xlink:href="fig-0406-01a" number="480">
                <image file="0406-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-01"/>
              </figure>
            ad E D, igitur differentia quadratorum laterum figuræ P Q minor erit diffe-
              <lb/>
              <note position="left" xlink:label="note-0406-01" xlink:href="note-0406-01a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rentia quadratorum laterum figuræ I L, vel figuræ A C.</s>
            <s xml:id="echoid-s12557" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12558" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <figure xlink:label="fig-0406-02" xlink:href="fig-0406-02a" number="481">
                <image file="0406-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0406-02"/>
              </figure>
              <note position="left" xlink:label="note-0406-02" xlink:href="note-0406-02a" xml:space="preserve">PROP. 9.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum la-
              <lb/>
            terum figuræ eius æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum figuræ
              <lb/>
            axis maioris A C.</s>
            <s xml:id="echoid-s12559" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12560" xml:space="preserve">Secetur H D in e, vt H e ad e D
              <lb/>
            eandem proportionem babeat, quàm
              <lb/>
            H A ad A D, & </s>
            <s xml:id="echoid-s12561" xml:space="preserve">ex puncto e educa-
              <lb/>
            tur ad axim perpendicularis e h occur-
              <lb/>
            rens ſectioni in h, & </s>
            <s xml:id="echoid-s12562" xml:space="preserve">coniungatur a
              <lb/>
            h, quàm bifariam ſecet diameter f d,
              <lb/>
            cuius erectus d g: </s>
            <s xml:id="echoid-s12563" xml:space="preserve">dico diametrum,
              <lb/>
            f d eße quæſitam. </s>
            <s xml:id="echoid-s12564" xml:space="preserve">Quia H e ad e D
              <lb/>
            eandem proportionem habet, quàm H
              <lb/>
            A ad A D, ergo differentia quadrato-
              <lb/>
              <note position="left" xlink:label="note-0406-03" xlink:href="note-0406-03a" xml:space="preserve">Lem. 17.
                <lb/>
              huius.</note>
            rum ex f d, & </s>
            <s xml:id="echoid-s12565" xml:space="preserve">ex d g æqualis eſt dif-
              <lb/>
            ferentiæ quadratorum ex A C, & </s>
            <s xml:id="echoid-s12566" xml:space="preserve">ex
              <lb/>
            A F, quod erat propoſitum.</s>
            <s xml:id="echoid-s12567" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s12568" xml:space="preserve">In ellypſi reperire diametrum,
              <lb/>
              <note position="left" xlink:label="note-0406-04" xlink:href="note-0406-04a" xml:space="preserve">PROP.
                <lb/>
              10.
                <lb/>
              Addit.</note>
            cuius differentia quadratorum late-
              <lb/>
            rum eius figuræ æqualis ſit diffe-
              <lb/>
            rentiæ quadratorum laterum </s>
          </p>
        </div>
      </text>
    </echo>