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
91 53
92 54
93 55
94 56
95 57
96 58
97 59
98 60
99 61
100 62
101 63
102 64
103 65
104 66
105 67
106 68
107 69
108 70
109 71
110 72
111 73
112 74
113 75
114 76
115 77
116 78
117 79
118 80
119 81
120 82
< >
page |< < (92) of 458 > >|
    <echo version="1.0RC">
      <text xml:lang="la" type="free">
        <div xml:id="echoid-div355" type="section" level="1" n="115">
          <pb o="92" file="0130" n="130" rhead="Apollonij Pergæi"/>
          <p>
            <s xml:id="echoid-s3760" xml:space="preserve">Si vero ex illo educatur alius bre-
              <lb/>
              <figure xlink:label="fig-0130-01" xlink:href="fig-0130-01a" number="114">
                <image file="0130-01" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0130-01"/>
              </figure>
            uiſecans erit æqualis vni breuiſecan-
              <lb/>
            ti ex altera parte recti poſito, & </s>
            <s xml:id="echoid-s3761" xml:space="preserve">
              <lb/>
            omnium reliquorum erit maximus.</s>
            <s xml:id="echoid-s3762" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">b</note>
          <p>
            <s xml:id="echoid-s3763" xml:space="preserve">Quia breuiſſimæ egredientes ab ex-
              <lb/>
            tremitatibus reliquorum ramorum ab-
              <lb/>
            ſcindunt cum C, vel A lineas maiores,
              <lb/>
            quàm ſecent rami (illi 44. </s>
            <s xml:id="echoid-s3764" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3765" xml:space="preserve">de-
              <lb/>
            monſtrabitur ductis tangentibus, per
              <lb/>
            extremitates illorum (quemadmodum,
              <lb/>
            antea oſtenſum eſt) quod E B ſit maximus ramorum egredientium ad
              <lb/>
            duos quadrantes C B, B A, & </s>
            <s xml:id="echoid-s3766" xml:space="preserve">hoc erat oſtendendum.</s>
            <s xml:id="echoid-s3767" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div358" type="section" level="1" n="116">
          <head xml:id="echoid-head159" xml:space="preserve">PROPOSITIO LXXVII.</head>
          <p>
            <s xml:id="echoid-s3768" xml:space="preserve">POſtea educatur alius breuiſe-
              <lb/>
              <figure xlink:label="fig-0130-02" xlink:href="fig-0130-02a" number="115">
                <image file="0130-02" xlink:href="http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/0130-02"/>
              </figure>
              <note position="right" xlink:label="note-0130-02" xlink:href="note-0130-02a" xml:space="preserve">a</note>
            cans E F; </s>
            <s xml:id="echoid-s3769" xml:space="preserve">Dico, quod eſt æ-
              <lb/>
            qualis vni breuiſecanti E G æque
              <lb/>
            remoto à recto D B, & </s>
            <s xml:id="echoid-s3770" xml:space="preserve">eſt maxi-
              <lb/>
            mus reliquorum omnium.</s>
            <s xml:id="echoid-s3771" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s3772" xml:space="preserve">Quia B D, F H ſunt duæ breuiſſimæ,
              <lb/>
              <note position="right" xlink:label="note-0130-03" xlink:href="note-0130-03a" xml:space="preserve">b</note>
            ergo rami egredientes ad ſectionem B
              <lb/>
            F abſcindunt cum A maiores lineas,
              <lb/>
            quàm ſecent breuiſſimæ, egredientes ab
              <lb/>
            eorum extremitatibus: </s>
            <s xml:id="echoid-s3773" xml:space="preserve">idem dicendum eſt de ramis educti ad ſectionis
              <lb/>
            peripheriam B G, & </s>
            <s xml:id="echoid-s3774" xml:space="preserve">rami educti ad peripherias C G, A F abſcindunt
              <lb/>
            cum C, vel A lineas minores (45. </s>
            <s xml:id="echoid-s3775" xml:space="preserve">ex 5.) </s>
            <s xml:id="echoid-s3776" xml:space="preserve">conſtat itaque adhibitis li-
              <lb/>
              <note position="right" xlink:label="note-0130-04" xlink:href="note-0130-04a" xml:space="preserve">c</note>
            neis tangentibus, vt dictum eſt, quod E F ſit maximus ramorum ſecan-
              <lb/>
            tium ex E ad C B A egredientium, excepto vno E G, cui eſt æqualis,
              <lb/>
            quod erat oſtendendum.</s>
            <s xml:id="echoid-s3777" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div361" type="section" level="1" n="117">
          <head xml:id="echoid-head160" xml:space="preserve">Notæ in Propoſit. LXXIII.</head>
          <p>
            <s xml:id="echoid-s3778" xml:space="preserve">PR O clariori intelligentia propoſitionum huius ſectionis hæc præmitto.</s>
            <s xml:id="echoid-s3779" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div362" type="section" level="1" n="118">
          <head xml:id="echoid-head161" xml:space="preserve">LEMMA XII.</head>
          <p style="it">
            <s xml:id="echoid-s3780" xml:space="preserve">Si in ellipſi A B C à concurſu E ductus fuerit ramus E G ſecans
              <lb/>
            vtrumque axim in H, & </s>
            <s xml:id="echoid-s3781" xml:space="preserve">1, cuius portio G 1, inter axim maiorem
              <lb/>
            A C, & </s>
            <s xml:id="echoid-s3782" xml:space="preserve">ſectionem intercepta, ſit linea breuiſsima; </s>
            <s xml:id="echoid-s3783" xml:space="preserve">dico, quod quili-
              <lb/>
            bet alius ramus E K inter breuiſecantem G E, & </s>
            <s xml:id="echoid-s3784" xml:space="preserve">axim minorem in-
              <lb/>
            terceptus, efficit cum ſectionem tangente K P angulum E K P </s>
          </p>
        </div>
      </text>
    </echo>
Impressum