Apollonius <Pergaeus>; Lawson, John, The two books of Apollonius Pergaeus, concerning tangencies, as they have been restored by Franciscus Vieta and Marinus Ghetaldus : with a supplement to which is now added, a second supplement, being Mons. Fermat's Treatise on spherical tangencies

Page concordance

< >
Scan Original
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66 [i]
67 [ii]
68 [iii]
69 [iv]
70 [v]
71 [vi]
72 [vii]
73 [viii]
74 [ix]
75 [x]
76 [xi]
77
78
79 [2]
80 [3]
< >
page |< < ([iii]) of 161 > >|
    <echo version="1.0RC">
      <text xml:lang="en" type="free">
        <div xml:id="echoid-div59" type="section" level="1" n="59">
          <pb o="[iii]" file="0061" n="68"/>
        </div>
        <div xml:id="echoid-div60" type="section" level="1" n="60">
          <head xml:id="echoid-head71" xml:space="preserve">EXTRACT from PAPPUS's Preface to his Seventh Book
            <lb/>
          in Dr. HALLEY's Tranſlation.</head>
          <head xml:id="echoid-head72" xml:space="preserve">DE SECTIONE DETERMINATA II.</head>
          <p>
            <s xml:id="echoid-s943" xml:space="preserve">HIS ſubjiciuntur libri duo de Sectione Determinatâ,
              <lb/>
            quas etiam ad modum præcedentium unam pro-
              <lb/>
            poſitionem dicere liceat, ſed disjunctam: </s>
            <s xml:id="echoid-s944" xml:space="preserve">quæ hujuſ-
              <lb/>
            modi eſt. </s>
            <s xml:id="echoid-s945" xml:space="preserve">“ Datam rectam infinitam in uno puncto ſe-
              <lb/>
            care, ita, ut è rectis interceptis inter illud & </s>
            <s xml:id="echoid-s946" xml:space="preserve">puncta
              <lb/>
            in illâ data, vel quadratum ex unâ, vel rectangulum
              <lb/>
            ex duabus interceptis, datam habeat rationem, vel ad
              <lb/>
            contentum ſub aliâ unâ interceptâ & </s>
            <s xml:id="echoid-s947" xml:space="preserve">datá quâdum;
              <lb/>
            </s>
            <s xml:id="echoid-s948" xml:space="preserve">vel etiam ad contentum ſub duabus aliis interceptis: </s>
            <s xml:id="echoid-s949" xml:space="preserve">
              <lb/>
            idque ad quam partem velis punctorum datorum.</s>
            <s xml:id="echoid-s950" xml:space="preserve">”
              <lb/>
            Hujus autem, quaſi bis disjunctæ, & </s>
            <s xml:id="echoid-s951" xml:space="preserve">intricatos Dio-
              <lb/>
            riſmos habentis, per plura neceſſario facta eſt demon-
              <lb/>
            ſtratio. </s>
            <s xml:id="echoid-s952" xml:space="preserve">Hanc autem dedit Apollonius communi methodo
              <lb/>
            tentamen faciens, ac ſolis rectis lineis uſus, ad exemplum
              <lb/>
            ſecundi libri Elementorum primorum Euclidis: </s>
            <s xml:id="echoid-s953" xml:space="preserve">ac rur- ſus idem demonſtravit ingenioſe quidem, & </s>
            <s xml:id="echoid-s954" xml:space="preserve">magis ad
              <lb/>
            inſtitutionem accomodate, per ſemicirculos. </s>
            <s xml:id="echoid-s955" xml:space="preserve">Habet
              <lb/>
              <note symbol="*" position="foot" xlink:label="note-0061-01" xlink:href="note-0061-01a" xml:space="preserve">From hence it appears that
                <emph style="sc">Euclid's</emph>
              were called the firſt Elements,
                <lb/>
              and that the other Analytical Tracts, recited by
                <emph style="sc">Pappus,</emph>
              were called the
                <lb/>
              ſecond Elements.</note>
            </s>
          </p>
        </div>
      </text>
    </echo>
Impressum