Gravesande, Willem Jacob 's, An essay on perspective

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          <p>
            <s xml:id="echoid-s2470" xml:space="preserve">
              <pb o="113" file="0189" n="218" rhead="on PERSPECTIVE."/>
            Angle B C P, and its equal R C Q, is 22 {1/2} plus
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            {1/2} of D I A. </s>
            <s xml:id="echoid-s2471" xml:space="preserve">Now if the Angle R Q C be added
              <lb/>
            to this Angle, their Sum will be equal to the An-
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            gle D I A; </s>
            <s xml:id="echoid-s2472" xml:space="preserve">whence it follows, that the Angle
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            C R Q is equal to D I R. </s>
            <s xml:id="echoid-s2473" xml:space="preserve">Which was to be demon-
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            ſtrated.</s>
            <s xml:id="echoid-s2474" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2475" xml:space="preserve">30. </s>
            <s xml:id="echoid-s2476" xml:space="preserve">If the Angle R B N be alter’d, and it be
              <lb/>
            called a, the Angle D I A, b, and the right An-
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            gle d; </s>
            <s xml:id="echoid-s2477" xml:space="preserve">then the Angle C Q R = d + {1/2} b — a.</s>
            <s xml:id="echoid-s2478" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2479" xml:space="preserve">31. </s>
            <s xml:id="echoid-s2480" xml:space="preserve">When a Picture is parallel, it appears ma-
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              <note position="right" xlink:label="note-0189-01" xlink:href="note-0189-01a" xml:space="preserve">Fig. 74.</note>
            nifeſt, the Mirrours GH and M N being each in-
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            clin’d under an Angle of 45 Degrees, that a Ray,
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            which is perpendicular to the Horizon, likewiſe
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            falls, after a double Reflection, perpendicularly
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            upon the Table A.</s>
            <s xml:id="echoid-s2481" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div381" type="section" level="1" n="205">
          <head xml:id="echoid-head225" xml:space="preserve">
            <emph style="sc">Prop</emph>
          . III.</head>
          <p style="it">
            <s xml:id="echoid-s2482" xml:space="preserve">32. </s>
            <s xml:id="echoid-s2483" xml:space="preserve">To repreſent Objects which are roun’d about
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            the Machine, and make them appear erect to the Per-
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            ſon ſeated within the ſame.</s>
            <s xml:id="echoid-s2484" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2485" xml:space="preserve">The Back-ſide of the Machine muſt be turned
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            towards the Sun, and the Objects behind the
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            ſame repreſented by one Reflection only; </s>
            <s xml:id="echoid-s2486" xml:space="preserve">
              <note symbol="*" position="right" xlink:label="note-0189-02" xlink:href="note-0189-02a" xml:space="preserve">15.</note>
            their Appearance will always be clearer, altho
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            they be in the Shade, than the Appearance of the
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            Objects on the other Sides of the Machine, which
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            cannot be perceiv’d unleſs by a double Refle-
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            ction.</s>
            <s xml:id="echoid-s2487" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s2488" xml:space="preserve">33. </s>
            <s xml:id="echoid-s2489" xml:space="preserve">The Objects that are on the right and left
              <lb/>
              <note position="right" xlink:label="note-0189-03" xlink:href="note-0189-03a" xml:space="preserve">Fig. 70.</note>
            of the Machine, may be repreſented by means
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            of the Mirrour H, ſituated as per Figure; </s>
            <s xml:id="echoid-s2490" xml:space="preserve">but
              <note symbol="*" position="right" xlink:label="note-0189-04" xlink:href="note-0189-04a" xml:space="preserve">12.</note>
            ſaid Mirrour muſt be cover’d with a Paſtboard Caſe,
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            having two Apertures therein; </s>
            <s xml:id="echoid-s2491" xml:space="preserve">the one next to
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            the Objects, and the other next to the Aperture
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            N, of the Box X. </s>
            <s xml:id="echoid-s2492" xml:space="preserve">The Reaſon of our uſing this
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            @recaution is, becauſe when the Mirrour is not co-
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            ver’d at all, it reflects the Rays of Light </s>
          </p>
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