Gravesande, Willem Jacob 's, An essay on perspective

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        <div xml:id="echoid-div175" type="section" level="1" n="92">
          <p>
            <s xml:id="echoid-s1267" xml:space="preserve">
              <pb o="52" file="0096" n="109" rhead="An ESSAY"/>
            viſible Portions of the ſaid Baſes. </s>
            <s xml:id="echoid-s1268" xml:space="preserve">Note, This
              <lb/>
            Method may be demonſtrated without Algebra,
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            but it would be very long.</s>
            <s xml:id="echoid-s1269" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div177" type="section" level="1" n="93">
          <head xml:id="echoid-head99" xml:space="preserve">
            <emph style="sc">Problem</emph>
          IX.</head>
          <p style="it">
            <s xml:id="echoid-s1270" xml:space="preserve">68. </s>
            <s xml:id="echoid-s1271" xml:space="preserve">To find the Accidental Point of ſeveral pa-
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            rallel Lines, which are inclin’d to the Geome-
              <lb/>
            trical Plane.</s>
            <s xml:id="echoid-s1272" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1273" xml:space="preserve">Let A B be the Direction of one of the Lines,
              <lb/>
              <note position="left" xlink:label="note-0096-01" xlink:href="note-0096-01a" xml:space="preserve">Fig. 36.</note>
            whoſe accidental Point is ſought; </s>
            <s xml:id="echoid-s1274" xml:space="preserve">and ECP, the
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            Angle that the ſaid Lines make with the Geo-
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            metrical Plane.</s>
            <s xml:id="echoid-s1275" xml:space="preserve"/>
          </p>
        </div>
        <div xml:id="echoid-div179" type="section" level="1" n="94">
          <head xml:id="echoid-head100" xml:space="preserve">
            <emph style="sc">Operation</emph>
          .</head>
          <p>
            <s xml:id="echoid-s1276" xml:space="preserve">Draw a Line, O D, thro’ the Eye O, parallel
              <lb/>
            to A B, and thro’ the Point D, wherein it cuts
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            the Horizontal Line, and which is the acciden-
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            tal Point of the Directions of the given Lines,
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            draw D F perpendicular to the ſaid Horizontal
              <lb/>
            Line; </s>
            <s xml:id="echoid-s1277" xml:space="preserve">in which aſſume D G, equal to DO. </s>
            <s xml:id="echoid-s1278" xml:space="preserve">Fi-
              <lb/>
            nally, thro’ the Point G, draw the Line G F,
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            making an Angle with the Horizontal Line, equal
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            to E C P; </s>
            <s xml:id="echoid-s1279" xml:space="preserve">and then the Point F, (the Interſection
              <lb/>
            of this Line) and the Perpendicular D F, is the
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            accidental Point ſought.</s>
            <s xml:id="echoid-s1280" xml:space="preserve"/>
          </p>
          <p>
            <s xml:id="echoid-s1281" xml:space="preserve">Note, When the Lines are inclin’d towards
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            the perſpective Plane, D F and G F muſt be
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            drawn below the Horizontal Line: </s>
            <s xml:id="echoid-s1282" xml:space="preserve">And, contra-
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            riwiſe, when the ſaid Lines are inclin’d towards
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            the oppoſite Part of the perſpective Plane, the
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            aforeſaid Lines muſt be drawn above the ſaid
              <lb/>
            Horizontal Line, as is done here.</s>
            <s xml:id="echoid-s1283" xml:space="preserve"/>
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