Gravesande, Willem Jacob 's, An essay on perspective

Table of figures

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[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.
[81] Fig. 77.R V T o
[82] Fig. 78.Z Z Y C M L I E A H D X G F B S Q P N 4 3 2
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          <p>
            <s xml:id="echoid-s770" xml:space="preserve">
              <pb o="29" file="0057" n="62" rhead="on PERSPECTIVE."/>
            drawn to the Point G, will give the Appearance
              <lb/>
            ſought.</s>
            <s xml:id="echoid-s771" xml:space="preserve"/>
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        <div xml:id="echoid-div109" type="section" level="1" n="60">
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            <emph style="sc">Remarks</emph>
          .</head>
          <p>
            <s xml:id="echoid-s772" xml:space="preserve">When this Method cannot be us’d, the Per-
              <lb/>
            ſpective of the Diviſions dividing the Sides of
              <lb/>
            the Parallelogram, mufl be found . </s>
            <s xml:id="echoid-s773" xml:space="preserve">And we
              <note symbol="*" position="right" xlink:label="note-0057-01" xlink:href="note-0057-01a" xml:space="preserve">44.</note>
            often oblig’d to have recourſe to this Expedient,
              <lb/>
            notwithſtanding the accidental Points, G and F,
              <lb/>
            being had. </s>
            <s xml:id="echoid-s774" xml:space="preserve">And this happens, when the Paralle-
              <lb/>
            logram is ſo far diſtant from the perſpective
              <lb/>
            Plane, that its Sides being produc’d, cannot meet
              <lb/>
            the Baſe Line.</s>
            <s xml:id="echoid-s775" xml:space="preserve"/>
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          <p>
            <s xml:id="echoid-s776" xml:space="preserve">47. </s>
            <s xml:id="echoid-s777" xml:space="preserve">Note, moreover, that this one Example
              <lb/>
            is ſufficient to ſhew how to throw any Kinds of
              <lb/>
            Figures in the Geometrical Plane into Perſpe-
              <lb/>
            ctive. </s>
            <s xml:id="echoid-s778" xml:space="preserve">To effect which, we circumſcribe any
              <lb/>
            Parallelogram about the Figures, which we di-
              <lb/>
            vide into ſeveral others: </s>
            <s xml:id="echoid-s779" xml:space="preserve">Then we throw this
              <lb/>
            Parallelogram (thus divided) into Perſpective,
              <lb/>
            and transfer the given Figure therein, ſo that it
              <lb/>
            may have the ſame Situation with reſpect to
              <lb/>
            the little Parallelograms in the perſpective Plane,
              <lb/>
            as it had in regard to the ſmall Parallelograms
              <lb/>
            in the Geometrical Plane.</s>
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        <div xml:id="echoid-div111" type="section" level="1" n="61">
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            <emph style="sc">Example</emph>
          III.</head>
          <head xml:id="echoid-head64" style="it" xml:space="preserve">48. To throw a circle into Perſpective.</head>
          <p>
            <s xml:id="echoid-s781" xml:space="preserve">The Repreſentation of ſeveral Points of a
              <lb/>
              <note position="right" xlink:label="note-0057-02" xlink:href="note-0057-02a" xml:space="preserve">Fig. 16.</note>
            Circle, or any other Curve Line requir’d to be
              <lb/>
            thrown into perſpective, muſt be found,
              <note symbol="*" position="right" xlink:label="note-0057-03" xlink:href="note-0057-03a" xml:space="preserve">21.</note>
            may be well enough done, by drawing ſeveral
              <lb/>
            Chords in the Circle, or Curve, parallel between
              <lb/>
            themſelves, the Repreſentations of which muſt
              <lb/>
            be found ; </s>
            <s xml:id="echoid-s782" xml:space="preserve">then the Extremities of thoſe
              <note symbol="*" position="right" xlink:label="note-0057-04" xlink:href="note-0057-04a" xml:space="preserve">43.</note>
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