Gravesande, Willem Jacob 's, An essay on perspective

Table of figures

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[31] page 48.Plate 13.Fig. 32.V S R L P B D Q T M I F A E Y C G O H Z N
[32] page 52.Plate. 14.Fig. 34D C F G A B H L E
[33] Fig. 33S X 8 1 h 6 g 3 z q 9 m 2 4 m a 5 Y
[34] Fig. 35O M D P T Q R m p q B A S C
[35] page 56.Plate. 15F H O Z D G
[36] Fig. 36T N M L a R Q E I A C P B
[37] Fig. 37F S V T I E M A N X P C B
[38] page 58.Plate. 16Fig. 39Fig. 38F Q O p l r s 1 2 3 4 G
[39] page 60.Plate. 17F V
[40] Fig. 40c θ b e a F G H I K L A B E C D
[41] page 64Plate. 18.d v
[42] Fig. 41E b a G F H C B A D
[43] Fig. 42G Q A M I S E H T B L Z F P a X Y N C D R O
[44] page 68Plate. 19Fig. 43B D E a G H I C F L
[45] Fig. 44O V X S H I T
[46] Fig. 45Q F V X S a H B C D E L M P T A
[47] page 72Plate. 20Fig. 46V I X a E M P A T
[48] Fig. 47V F X a Q G H D N A T R
[49] Page 34.Plate. 21Fig. 48F O D X S b a G N A E T B P C
[50] Fig. 49H F O D G X a M N L R Q
[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
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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,
                <lb/>
              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
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            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
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            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
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            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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