Gravesande, Willem Jacob 's, An essay on perspective

Table of figures

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[Figure 1]
[2] fronting page 8Plate 1.Fig. 1.C A D B e E
[3] Fig. 2.M T O V R L A N D F S I H B G C
[4] Fig. 3.O b B F a A G
[5] Fig. 4.c C b d F B D a A G
[6] Plate 2.page 16.Fig. 5.@ O H F c d E D C G
[7] Fig. 6.E D O @ c F a b A C B G
[8] Fig. 7.D F H V C X a I B G E Z A
[9] Plate. 3.page 20Fig. 8.O Y D C X æ B E Z A
[10] Fig. 9.O I Y H G D V X a B E F C Z L A
[11] Plate 4.Page 24.Fig. 10.f F O G g V D N L a P E H I M A
[12] Plate 5.page 26.Fig. 11.O Y b X a E Z A B
[13] Fig. 12.M O Y F S C L D X a E B Z A
[14] Plate 6.page 28.Fig. 13.O D c b a g E G B A C
[15] Fig. 14.O b 1 2 3 a c 1 2 3 g D A C 3 1 2 2 1 3 B G
[16] page 28.Plate. 7Fig. 16Fig. 15O G F I Vl d c e m n b a h B A H M N C E P D L
[17] page 36.Plate 8Fig. 17O G F c d b a A B D C
[18] Page 36.Plate 9Fig. 18.G F C S V I E B A
[19] Fig. 19.O i M X L D @ b a
[20] Fig. 20.S x G n H S V D l R f Q m P t
[21] Fig. 21.I X f T L B N A C l M E F
[22] page 38Plate 10.Fig. 22.V F I N a G H M P D E B C L A
[23] Fig. 23.O F I H a G D E B C L A M
[24] Fig. 24.@ o f X a e A
[25] page 42Plate 11.Fig. 25.S F V M I N P H a L D E G C A B
[26] Fig. 26.Fig. 27.S V P Q R n l g h G H B N I A C M L
[27] page 46Plate 12.Fig. 28.
[28] Fig. 29.F S V q q q E L p p p I G H q D P n n n T R m m m C B Q A
[29] Fig. 30.O X E L N M G Z Y D
[30] Fig. 31.f 3 c l n m g 4
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            <s xml:id="echoid-s359" xml:space="preserve">
              <pb o="9" file="0029" n="30" rhead="on PERSPECTIVE."/>
            right, is alſo perpendicular to the Geometrical
              <lb/>
            Plane, and the third is then in the Direction of the
              <lb/>
            firſt.</s>
            <s xml:id="echoid-s360" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div38" type="section" level="1" n="16">
          <head xml:id="echoid-head18" xml:space="preserve">
            <emph style="sc">Corollary</emph>
          II.</head>
          <p style="it">
            <s xml:id="echoid-s361" xml:space="preserve">11. </s>
            <s xml:id="echoid-s362" xml:space="preserve">If tworight Lines, equal between themſelves, and
              <lb/>
            parallel to the perſpective Planes, be equally diſtant
              <lb/>
            from the perſpective Plane, their Appearances will be
              <lb/>
            equal.</s>
            <s xml:id="echoid-s363" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s364" xml:space="preserve">For, becauſe they are in a Plane, parallel to
              <lb/>
            the perſpective Plane, they will have the ſame
              <lb/>
            Proportion to each other, as their Repreſentations.</s>
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        <div xml:id="echoid-div39" type="section" level="1" n="17">
          <head xml:id="echoid-head19" xml:space="preserve">
            <emph style="sc">Theorem</emph>
          III.</head>
          <p style="it">
            <s xml:id="echoid-s366" xml:space="preserve">12. </s>
            <s xml:id="echoid-s367" xml:space="preserve">If a Line parallel to the Perſpective Plane, be
              <lb/>
            view’d by two Eyes, both being in a Plane, parallel
              <lb/>
            to the perſpective Plane, the Repreſentations of the
              <lb/>
            ſaid Line will be equal.</s>
            <s xml:id="echoid-s368" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s369" xml:space="preserve">If we ſuppoſe a Plane, parallel to the Per-
              <lb/>
            ſpective Plane, to paſs through the propoſed
              <lb/>
            Line, this Proportion will be had; </s>
            <s xml:id="echoid-s370" xml:space="preserve"> viz. </s>
            <s xml:id="echoid-s371" xml:space="preserve">As
              <note symbol="*" position="right" xlink:label="note-0029-01" xlink:href="note-0029-01a" xml:space="preserve">9.</note>
            Diſtance of the Eyes from this Plane, is to their
              <lb/>
            Diſtance from the Perſpective Plane, ſo is the
              <lb/>
            given Line to the Repreſentation thereof. </s>
            <s xml:id="echoid-s372" xml:space="preserve">But
              <lb/>
            the three firſt Terms of this Proportion are
              <lb/>
            the ſame for each of the Eyes, which are
              <lb/>
            in one and the ſame Plane parallel to the Per-
              <lb/>
            ſpective Plane: </s>
            <s xml:id="echoid-s373" xml:space="preserve">Therefore, the fourth Term of
              <lb/>
            the Proportion will likewiſe be the ſame in both
              <lb/>
            Caſes: </s>
            <s xml:id="echoid-s374" xml:space="preserve">Which was to be demonſtrated.</s>
            <s xml:id="echoid-s375" xml:space="preserve"/>
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        <div xml:id="echoid-div41" type="section" level="1" n="18">
          <head xml:id="echoid-head20" xml:space="preserve">
            <emph style="sc">Theorem</emph>
          IV.</head>
          <p style="it">
            <s xml:id="echoid-s376" xml:space="preserve">13. </s>
            <s xml:id="echoid-s377" xml:space="preserve">If a right Line, being continued, meets the per-
              <lb/>
            ſpective Piane in one Point, the Appearance thereof
              <lb/>
            will be a Part of the Line drawn from the ſaid Point
              <lb/>
            in the perſpective Plane, to another Point, </s>
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