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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            <s xml:id="echoid-s1110" xml:space="preserve">
              <pb o="43" file="0083" n="94" rhead="on PERSPECTIVE."/>
            Priſm is greater than the Height of the Eye, the
              <lb/>
            precedent Method is the ſhorteſt.</s>
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        <div xml:id="echoid-div156" type="section" level="1" n="84">
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            <emph style="sc">Problem</emph>
          IX.</head>
          <p style="it">
            <s xml:id="echoid-s1112" xml:space="preserve">62. </s>
            <s xml:id="echoid-s1113" xml:space="preserve">To throw a Concave Body into Perſpective.</s>
            <s xml:id="echoid-s1114" xml:space="preserve"/>
          </p>
          <note position="right" xml:space="preserve">Fig. 28.</note>
          <p>
            <s xml:id="echoid-s1115" xml:space="preserve">Having firſt ſound the Perſpective of the ſaid
              <lb/>
            Body, afterwards find the Appearance of its
              <lb/>
            Cavity, in conſidering the Cavity as a new
              <lb/>
            Body.</s>
            <s xml:id="echoid-s1116" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div157" type="section" level="1" n="85">
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            <emph style="sc">Problem</emph>
          X.</head>
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            <s xml:id="echoid-s1117" xml:space="preserve">63. </s>
            <s xml:id="echoid-s1118" xml:space="preserve">To throw a Sphere into Perſpective.</s>
            <s xml:id="echoid-s1119" xml:space="preserve"/>
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          <note position="right" xml:space="preserve">Fig. 29.</note>
          <p>
            <s xml:id="echoid-s1120" xml:space="preserve">Let A be the Seat of the Centre of the Sphere;
              <lb/>
            </s>
            <s xml:id="echoid-s1121" xml:space="preserve">then the Point I the Perſpective of the Centre
              <lb/>
            muſt be found, and the Line IV drawn to
              <note symbol="*" position="right" xlink:label="note-0083-03" xlink:href="note-0083-03a" xml:space="preserve">50.</note>
            Point of Sight V. </s>
            <s xml:id="echoid-s1122" xml:space="preserve">This being done, raiſe V F per-
              <lb/>
            pendicular to V I, which make equal to the
              <lb/>
            Diſtance from the Eye to the perſpective Plane;
              <lb/>
            </s>
            <s xml:id="echoid-s1123" xml:space="preserve">and in this Perpendicular continued, take V P
              <lb/>
            equal to the Diſtance from the Centre of the
              <lb/>
            Sphere to the perſpective Plane. </s>
            <s xml:id="echoid-s1124" xml:space="preserve">Through the
              <lb/>
            Point P draw P Q parallel to V I cutting a Line
              <lb/>
            drawn from F through I, in Q; </s>
            <s xml:id="echoid-s1125" xml:space="preserve">and about Q as
              <lb/>
            a Centre, with the Semidiameter of the Sphere,
              <lb/>
            draw the Circle C B, to which from the Point F,
              <lb/>
            draw the Tangents F C and F B, cutting the
              <lb/>
            Line I V in the Points G and E. </s>
            <s xml:id="echoid-s1126" xml:space="preserve">On the Line
              <lb/>
            G E deſcribe the ſemicircle E D T G, wherein
              <lb/>
            draw the Line G D perpendicular to F I, which
              <lb/>
            biſect in H, and about H, as a Centre with the Ra-
              <lb/>
            dius H D, deſcribe the Arc of a Circle, L D R, cut-
              <lb/>
            ting the Line F I in the Points L and R. </s>
            <s xml:id="echoid-s1127" xml:space="preserve">Take
              <lb/>
            the Chord G T in the Semicircle E D T G equal
              <lb/>
            to R L, and deſcribe a Semicircle T m G upon
              <lb/>
            G T; </s>
            <s xml:id="echoid-s1128" xml:space="preserve">in which Semicircle draw ſeveral Lines,
              <lb/>
            as m n Perpendicular to G T; </s>
            <s xml:id="echoid-s1129" xml:space="preserve">and cutting </s>
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