Gravesande, Willem Jacob 's, An essay on perspective

Table of figures

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[51] Page 36Plate 22Fig. 50O R E G N S M
[52] Fig. 51I H T a X
[53] Fig. 52C D X I H G a F E L b T
[54] Fig. 53H I F T x d X L B C
[55] page 64.Plate 23.Fig. 54O M P Q t A X x Q R N
[56] Fig. 55G F b T L a
[57] Fig. 56I F a X b E T C P
[58] page 66.Plate. 24.Fig. 57E A Z C P B
[59] Fig. 58F O D I a b
[60] Fig. 59F E Z C A B
[61] page 88.Plate. 25.Fig. 60O G F f Z L R P D I T S M a Q E R H N A C B
[62] Plate 26Fig. 61O I F T N S Q S H E R M A
[63] Fig. 62C D S Q L C D R P H
[64] page 96.Plate. 27Fig. 63D E C F M H I G P A Q N
[65] Fig. 64X S D E T C R L F H I G P M B O V Q N
[66] page 98.Plate. 28Fig. 65L M F G D H C E I A B
[67] Fig. 66A B VII VIII IV V H C VI VI P V VII IV S VIII E O I III II I XII XIX IX F D
[68] page 100Plate. 29Fig. 675 6p 7 8 9 10 S V VI VII VIII IX X o XI ll l
[69] Fig. 68c P G e o Q
[70] Fig. 69P c G o e Q
[Figure 71]
[Figure 72]
[Figure 73]
[74] Page 120Plate. 30.Fig. 70.X I F B H D D P O M P R C C C C C E E Q
[75] Plate 31page 120Fig. 71D G C B A H F a I E
[76] Fig. 72P G C H A N B R Q M a F
[77] Fig. 73P G C H D N B I A R Q M a F
[78] Fig. 74G N B C H M a A
[79] Fig. 75D G B C A H F I E a
[80] page 120Plate. 32.Fig. 76.
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            B and C, which will be the two moſt extreme
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            ones that can be ſeen.</s>
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        <div xml:id="echoid-div152" type="section" level="1" n="82">
          <head xml:id="echoid-head88" style="it" xml:space="preserve">To do this another Way.</head>
          <p>
            <s xml:id="echoid-s1100" xml:space="preserve">61. </s>
            <s xml:id="echoid-s1101" xml:space="preserve">If the upper Face of the Cylinder or Priſm
              <lb/>
              <note position="left" xlink:label="note-0080-01" xlink:href="note-0080-01a" xml:space="preserve">Fig. 26,
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              27.</note>
            be otherwiſe requir’d to be found, the ſame Things
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            being given as in the foregoing Method, we draw
              <lb/>
            the Line P Q in the perſpective Plane, parallel
              <lb/>
            to the Baſe Line, whoſe Diſtance therefrom we
              <lb/>
            make equal to the Height of the Priſm or Cy-
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            linder, whoſe Perſpective is requir’d. </s>
            <s xml:id="echoid-s1102" xml:space="preserve">Then we
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            change its Geometrical Plane, ſo that the Baſe
              <lb/>
            Line coincides with P Q, and that in this Tran-
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            ſpoſition a Perpendicular to the Baſe Line coin-
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            cides with this ſame Perpendicular continued to-
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              <note symbol="*" position="left" xlink:label="note-0080-02" xlink:href="note-0080-02a" xml:space="preserve">46.</note>
            wards P Q. </s>
            <s xml:id="echoid-s1103" xml:space="preserve">Finally we find the Perſpective of the Baſe of the Priſm or Cylinder, thus changed
              <lb/>
            in Situation by uſing P Q for a Baſe Line, and
              <lb/>
            the ſaid Perſpective is the Repreſentation of their
              <lb/>
            upper Faces.</s>
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        <div xml:id="echoid-div154" type="section" level="1" n="83">
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            <emph style="sc">Demonstration</emph>
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          <p>
            <s xml:id="echoid-s1105" xml:space="preserve">If we ſuppoſe the Plane of the upper Surface
              <lb/>
            of the Priſm to be continued, it will meet the
              <lb/>
            Perſpective Plane in P Q; </s>
            <s xml:id="echoid-s1106" xml:space="preserve">and the upper Face
              <lb/>
            in this Plane continued, will have the ſame
              <lb/>
            Situation in Reſpect to P Q, as the Baſe hath
              <lb/>
            on the Geometrical Plane with Regard to the
              <lb/>
            Baſe Line. </s>
            <s xml:id="echoid-s1107" xml:space="preserve">If then the ſaid continued Plane be
              <lb/>
            conceived to lye on the perſpective Plane, the
              <lb/>
            upper Faces of the Priſm or Cylinder, will be
              <lb/>
            as the Baſes changed in the Manner aforeſaid;
              <lb/>
            </s>
            <s xml:id="echoid-s1108" xml:space="preserve">therefore the Appearance of the ſaid Baſes
              <lb/>
            changed, will be that of the upper Surfaces.</s>
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          <p>
            <s xml:id="echoid-s1110" xml:space="preserve">Note, By folding the Paper it is eaſy to
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            tranſpoſe Figures, and when the Height of </s>
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