Gravesande, Willem Jacob 's, An essay on perspective

Page concordance

< >
Scan Original
51 24
52
53
54
55 25
56 26
57
58
59
60 27
61 28
62 29
63 30
64
65
66
67
68
69
70 31
71 32
72 33
73 34
74 35
75 36
76
77
78
79
80
< >
page |< < (24) of 237 > >|
    <echo version="1.0RC">
      <text xml:lang="en" type="free">
        <div xml:id="echoid-div83" type="section" level="1" n="46">
          <p>
            <s xml:id="echoid-s676" xml:space="preserve">
              <pb o="24" file="0048" n="51" rhead="An ESSAY"/>
            thod, unleſs by Means of the Point A, the Ap-
              <lb/>
            pearance of ſome other Point taken at Pleaſure
              <lb/>
            upon the Geometrical Plane be found, by Means
              <lb/>
            of which, the Appearance of the Point B may
              <lb/>
            be afterwards gotten; </s>
            <s xml:id="echoid-s677" xml:space="preserve">but in theſe Caſes, the
              <lb/>
            ſhorteſt Way, is to uſe ſome one of the precedent
              <lb/>
            Methods.</s>
            <s xml:id="echoid-s678" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div84" type="section" level="1" n="47">
          <head xml:id="echoid-head49" xml:space="preserve">
            <emph style="sc">Corollary</emph>
          .</head>
          <p>
            <s xml:id="echoid-s679" xml:space="preserve">38. </s>
            <s xml:id="echoid-s680" xml:space="preserve">It appears from this Method, that when
              <lb/>
            the Repreſentations of two Points are found,
              <lb/>
            the Appearance of any third Point whatſoever
              <lb/>
            may be had, without having any Regard to the
              <lb/>
            Situation of the Eye; </s>
            <s xml:id="echoid-s681" xml:space="preserve">becauſe two Lines as E a
              <lb/>
            may be drawn, whoſe Interſection will be the
              <lb/>
            Point ſought.</s>
            <s xml:id="echoid-s682" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div85" type="section" level="1" n="48">
          <head xml:id="echoid-head50" xml:space="preserve">
            <emph style="sc">Method</emph>
          VI.</head>
          <p>
            <s xml:id="echoid-s683" xml:space="preserve">39. </s>
            <s xml:id="echoid-s684" xml:space="preserve">The ſame things being given, as in the
              <lb/>
              <note position="left" xlink:label="note-0048-01" xlink:href="note-0048-01a" xml:space="preserve">Fig. 12.</note>
            ſecond Method, let F C be the Geometrical Line.</s>
            <s xml:id="echoid-s685" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div87" type="section" level="1" n="49">
          <head xml:id="echoid-head51" xml:space="preserve">
            <emph style="sc">Operation</emph>
          .</head>
          <p>
            <s xml:id="echoid-s686" xml:space="preserve">Draw two Lines A F and A C from the given
              <lb/>
            Point A at Pleaſure, cutting the Baſe Line in the
              <lb/>
            Points E and B, and interſecting the Geometri-
              <lb/>
            cal Line in the Points F and C. </s>
            <s xml:id="echoid-s687" xml:space="preserve">From theſe
              <lb/>
            two laſt Points draw the Lines F O and C O to
              <lb/>
            the Eye; </s>
            <s xml:id="echoid-s688" xml:space="preserve">then draw E a through the Point E,
              <lb/>
            parallel to F O, and B a through the Point B,
              <lb/>
            parallel to C O, and the Point a the Interſection
              <lb/>
            of theſe two Lines will be that ſought.</s>
            <s xml:id="echoid-s689" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s690" xml:space="preserve">Note, We might firſt have drawn the Lines
              <lb/>
            O F and O C at Pleaſure, and then have drawn
              <lb/>
            the Lines AC and A F through their </s>
          </p>
        </div>
      </text>
    </echo>