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

< >
[71.] Demonſtratio ſecundæ partis. PROPOSITIONIS LI.
Page: 81 (43)
[72.] Notæ in Propoſ. LII. LIII.
Page: 83 (45)
[73.] Secunda pars buius propoſitionis, quam Apollonius non expoſuit hac ratione ſuppleri poteſt.
Page: 87 (49)
[74.] Notæ in Propoſ. LIV. LV.
Page: 92 (54)
[75.] Notæ in Propoſit. LVI.
Page: 93 (55)
[76.] LEMMA VIII.
Page: 95 (57)
[77.] Notæ in Propoſ. LVII.
Page: 96 (58)
[78.] SECTIO NONA Continens Propoſ. LVIII. LIX. LX. LXI. LXII. & LXIII.
Page: 98 (60)
[79.] PROPOSITIO LVIII.
Page: 98 (60)
[80.] PROPOSITIO LIX. LXII. & LXIII.
Page: 98 (60)
[81.] PROPOSITIO LX.
Page: 100 (62)
[82.] PROPOSITIO LXI.
Page: 100 (62)
[83.] Notæ in Propoſit. LVIII.
Page: 101 (63)
[84.] Notæ in Propoſit. LIX. LXII. & LXIII.
Page: 102 (64)
[85.] Notæ in Propoſit. LX.
Page: 103 (65)
[86.] Notæ in Propoſit. LXI.
Page: 103 (65)
[87.] SECTIO DECIMA Continens Propof. XXXXIV. XXXXV. Apollonij.
Page: 105 (67)
[88.] PROPOSITIO XXXXIV.
Page: 105 (67)
[89.] PROPOSITIO XXXXV.
Page: 106 (68)
[90.] Notæ in Propoſ. XXXXIV.
Page: 106 (68)
[91.] Notæ in Propoſ. XLV.
Page: 107 (69)
[92.] SECTIO VNDECIMA Continens Propoſ. LXVIII. LXIX. LXX. & LXXI. Apollonij. PROPOSITIO LXVIII. LXIX.
Page: 108 (70)
[93.] PROPOSITIO LXX.
Page: 109 (71)
[94.] PROPOSITIO LXXI.
Page: 109 (71)
[95.] Notæ in Propoſit. LXVIII. LXIX. LXX. & LXXI.
Page: 109 (71)
[96.] SECTIO DVODECIMA Continens XXIX. XXX. XXXI. Propoſ. Appollonij.
Page: 110 (72)
[97.] Notæ in Propoſit. XXIX. XXX. & XXXI.
Page: 111 (73)
[98.] SECTIO DECIMATERTIA Continens Propoſ. LXIV. LXV. LXVI. LXVII. & LXXII. Apollonij. PROPOSITIO LXIV. LXV.
Page: 112 (74)
[99.] PROPOSITIO LXVI.
Page: 113 (75)
[100.] PROPOSITIO LXVII.
Page: 114 (76)
< >
page |< < (233) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div749" type="section" level="1" n="235">
          <p style="it">
            <s xml:id="echoid-s8728" xml:space="preserve">
              <pb o="233" file="0271" n="271" rhead="Conicor. Lib. VI."/>
            parallela conſeruantur; </s>
            <s xml:id="echoid-s8729" xml:space="preserve">igitur duæ ſectiones K H M, & </s>
            <s xml:id="echoid-s8730" xml:space="preserve">L X S, exiſtentes in
              <lb/>
            eodem plano ſecante duas ſuperficies, quæ licet in infinitum producantur vbique
              <lb/>
            ſeparatæ ſunt, erunt aſymptoticæ. </s>
            <s xml:id="echoid-s8731" xml:space="preserve">Quartò, quia duæ hyperbolæ H K M, & </s>
            <s xml:id="echoid-s8732" xml:space="preserve">L
              <lb/>
            X S ſunt æquales, ſimiles, & </s>
            <s xml:id="echoid-s8733" xml:space="preserve">ſimiliter poſitæ circa communem diametrum H X
              <lb/>
              <note position="right" xlink:label="note-0271-01" xlink:href="note-0271-01a" xml:space="preserve">Prop. 7.
                <lb/>
              addit.</note>
            I, earum diſtantiæ ſemper magis, ac magis diminuuntur; </s>
            <s xml:id="echoid-s8734" xml:space="preserve">nunquam tamen mi-
              <lb/>
            nores efſici poſſunt interuallo duarum æquidiſtantium, hyperbolas continentium.
              <lb/>
            </s>
            <s xml:id="echoid-s8735" xml:space="preserve">Et hoc erat propoſitum.</s>
            <s xml:id="echoid-s8736" xml:space="preserve"/>
          </p>
          <p style="it">
            <s xml:id="echoid-s8737" xml:space="preserve">Data hyperbola X duos conos ſimiles exhibere vt idem planum in eis
              <lb/>
              <note position="right" xlink:label="note-0271-02" xlink:href="note-0271-02a" xml:space="preserve">PROP.
                <lb/>
              13.
                <lb/>
              Addit.</note>
            efficiat duas hyperbolas ſimiles, & </s>
            <s xml:id="echoid-s8738" xml:space="preserve">æquales datæ, quæ aſymptoticæ ſint,
              <lb/>
            & </s>
            <s xml:id="echoid-s8739" xml:space="preserve">ex vna parte ſibi ipſis viciniores fiant interuallo minori quolibet da-
              <lb/>
            to: </s>
            <s xml:id="echoid-s8740" xml:space="preserve">ex altera verò parte ad ſe ipſas propius accedant interuallo tamen
              <lb/>
            maiore dato: </s>
            <s xml:id="echoid-s8741" xml:space="preserve">oportet autem vt angulus ab aſymptotis ſectionis X con-
              <lb/>
            tentus ſit acutus.</s>
            <s xml:id="echoid-s8742" xml:space="preserve"/>
          </p>
          <figure number="318">
            <image file="0271-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0271-01"/>
          </figure>
          <p style="it">
            <s xml:id="echoid-s8743" xml:space="preserve">In quolibet @l@no fiat angulus A d O æqualis angulo inclinationis diametri,
              <lb/>
            & </s>
            <s xml:id="echoid-s8744" xml:space="preserve">baſis hyperb l@ X; </s>
            <s xml:id="echoid-s8745" xml:space="preserve">& </s>
            <s xml:id="echoid-s8746" xml:space="preserve">per o d extenſo quolibet alio planol, ducatur in eo re-
              <lb/>
            cta linea B d C perpendicularis ad O d G, & </s>
            <s xml:id="echoid-s8747" xml:space="preserve">ſumpto quolibet alio puncto b in
              <lb/>
            recta linea G O in plano per B G C O ducto, centris d, & </s>
            <s xml:id="echoid-s8748" xml:space="preserve">b deſcribantur </s>
          </p>
        </div>
      </text>
    </echo>
Impressum