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 |< < (358) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div1054" type="section" level="1" n="335">
          <pb o="358" file="0396" n="397" rhead="Apollonij Pergæi"/>
        </div>
        <div xml:id="echoid-div1066" type="section" level="1" n="336">
          <head xml:id="echoid-head415" xml:space="preserve">SECTIO DECIMA</head>
          <head xml:id="echoid-head416" xml:space="preserve">Continens Propoſit. XXXXIX. XXXXX.
            <lb/>
          & XXXXXI.</head>
          <p>
            <s xml:id="echoid-s12374" xml:space="preserve">XXXXXI. </s>
            <s xml:id="echoid-s12375" xml:space="preserve">IN hyperbola, & </s>
            <s xml:id="echoid-s12376" xml:space="preserve">ellipſi, ſi axis tranſuerſus minor
              <lb/>
            fuerit ſuo erecto, differentia quadratorum duorum
              <lb/>
              <note position="right" xlink:label="note-0396-01" xlink:href="note-0396-01a" xml:space="preserve">a</note>
            laterum figuræ axis eius maior eſt, quàm differentia quadrato-
              <lb/>
            rum laterum figuræ cuiuslibet alterius diametri ei homologæ. </s>
            <s xml:id="echoid-s12377" xml:space="preserve">Et
              <lb/>
            differentia quadratorum laterum figure homologæ proximioris
              <lb/>
            axi ſemper maior eſt in hyperbola, quàm differentia quadratorum
              <lb/>
            laterum figuræ remotioris: </s>
            <s xml:id="echoid-s12378" xml:space="preserve">at in ellypſi quouſque diameter tran-
              <lb/>
            ſuerſa æqualis non fiat ſuo erecto.</s>
            <s xml:id="echoid-s12379" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s12380" xml:space="preserve">XXXXX. </s>
            <s xml:id="echoid-s12381" xml:space="preserve">Et in hyperbola differentia quadrati axis inclinati
              <lb/>
            ab eius figura minor erit ſemidifferentia quadratorum duorum
              <lb/>
            laterum figuræ ſui homologi.</s>
            <s xml:id="echoid-s12382" xml:space="preserve"/>
          </p>
          <figure number="467">
            <image file="0396-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0396-01"/>
          </figure>
          <p>
            <s xml:id="echoid-s12383" xml:space="preserve">XXXXIX. </s>
            <s xml:id="echoid-s12384" xml:space="preserve">Si verò in hyperbole axis inclinatus maior fuerit
              <lb/>
            ſuo erecto, vtique differentia quadratorum duorum laterum fi-
              <lb/>
            guræ axis minor erit differentia quadratorum laterum figuræ </s>
          </p>
        </div>
      </text>
    </echo>