How to draw dashed arc of a circle behind pyramid?












3















I am trying to draw like this picture enter image description here



I tried



documentclass[border=2 mm,12pt]{standalone}
usepackage{fouriernc}
usepackage{tikz}
usepackage{tikz-3dplot}
begin{document}
tdplotsetmaincoords{70}{180}
begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
coordinate (A) at (0,0,0);
coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
coordinate (C) at (7,0,0);
coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
draw[very thick] (I) circle ({7/sqrt(3)});
foreach point/position in {A/below,B/below,C/below,
I/below,S/above}
{
fill (point) circle (1.5pt);
node[position=3pt] at (point) {$point$};
}
end{tikzpicture}
end{document}


and got



enter image description here



How to draw dashed arc of a circle behind pyramid?










share|improve this question



























    3















    I am trying to draw like this picture enter image description here



    I tried



    documentclass[border=2 mm,12pt]{standalone}
    usepackage{fouriernc}
    usepackage{tikz}
    usepackage{tikz-3dplot}
    begin{document}
    tdplotsetmaincoords{70}{180}
    begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
    coordinate (A) at (0,0,0);
    coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
    coordinate (C) at (7,0,0);
    coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
    coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

    draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

    draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
    draw[very thick] (I) circle ({7/sqrt(3)});
    foreach point/position in {A/below,B/below,C/below,
    I/below,S/above}
    {
    fill (point) circle (1.5pt);
    node[position=3pt] at (point) {$point$};
    }
    end{tikzpicture}
    end{document}


    and got



    enter image description here



    How to draw dashed arc of a circle behind pyramid?










    share|improve this question

























      3












      3








      3


      1






      I am trying to draw like this picture enter image description here



      I tried



      documentclass[border=2 mm,12pt]{standalone}
      usepackage{fouriernc}
      usepackage{tikz}
      usepackage{tikz-3dplot}
      begin{document}
      tdplotsetmaincoords{70}{180}
      begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
      coordinate (A) at (0,0,0);
      coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
      coordinate (C) at (7,0,0);
      coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
      coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

      draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

      draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
      draw[very thick] (I) circle ({7/sqrt(3)});
      foreach point/position in {A/below,B/below,C/below,
      I/below,S/above}
      {
      fill (point) circle (1.5pt);
      node[position=3pt] at (point) {$point$};
      }
      end{tikzpicture}
      end{document}


      and got



      enter image description here



      How to draw dashed arc of a circle behind pyramid?










      share|improve this question














      I am trying to draw like this picture enter image description here



      I tried



      documentclass[border=2 mm,12pt]{standalone}
      usepackage{fouriernc}
      usepackage{tikz}
      usepackage{tikz-3dplot}
      begin{document}
      tdplotsetmaincoords{70}{180}
      begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
      coordinate (A) at (0,0,0);
      coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
      coordinate (C) at (7,0,0);
      coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
      coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

      draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

      draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
      draw[very thick] (I) circle ({7/sqrt(3)});
      foreach point/position in {A/below,B/below,C/below,
      I/below,S/above}
      {
      fill (point) circle (1.5pt);
      node[position=3pt] at (point) {$point$};
      }
      end{tikzpicture}
      end{document}


      and got



      enter image description here



      How to draw dashed arc of a circle behind pyramid?







      tikz-3dplot






      share|improve this question













      share|improve this question











      share|improve this question




      share|improve this question










      asked 3 hours ago









      minhthien_2016minhthien_2016

      1,292917




      1,292917






















          2 Answers
          2






          active

          oldest

          votes


















          4














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
          (current bounding box.north east)} }}
          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

          draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          path (I) circle ({1.01*7/sqrt(3)});
          begin{scope}
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle ({7/sqrt(3)});
          end{scope}
          begin{scope}
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle ({7/sqrt(3)});
          end{scope}
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

            – minhthien_2016
            3 hours ago











          • You don't repair your code.

            – minhthien_2016
            3 hours ago











          • You changed Figure, but didn't code?

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

            – marmot
            2 hours ago






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago



















          2














          Using the intersections library, the code would look like this (I have highlighted in red the required line):



          enter image description here



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          usetikzlibrary{intersections}
          colorlet{bgcolor}{white}

          tikzset{
          overdraw/.style={preaction={draw,bgcolor,line width=#1}},
          overdraw/.default=2pt
          }

          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) --(B);
          draw[very thick,name path=SC] (S) -- (C);
          draw[very thick,name path=SA] (S) -- (A);

          draw[very thick,name path=CIR] (I) circle ({7/sqrt(3)});

          path [name intersections={of=SC and CIR, by={C,C'}}];
          path [name intersections={of=SA and CIR, by={D,D'}}];
          draw[red,dashed,overdraw] (C') to [bend right=-10] (D'); %to draw the curved path
          draw[dashed] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}





          share|improve this answer


























          • I think, the lines don't cut path=CIR.

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            2 hours ago











          Your Answer








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          2 Answers
          2






          active

          oldest

          votes








          2 Answers
          2






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes









          4














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
          (current bounding box.north east)} }}
          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

          draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          path (I) circle ({1.01*7/sqrt(3)});
          begin{scope}
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle ({7/sqrt(3)});
          end{scope}
          begin{scope}
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle ({7/sqrt(3)});
          end{scope}
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

            – minhthien_2016
            3 hours ago











          • You don't repair your code.

            – minhthien_2016
            3 hours ago











          • You changed Figure, but didn't code?

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

            – marmot
            2 hours ago






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago
















          4














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
          (current bounding box.north east)} }}
          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

          draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          path (I) circle ({1.01*7/sqrt(3)});
          begin{scope}
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle ({7/sqrt(3)});
          end{scope}
          begin{scope}
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle ({7/sqrt(3)});
          end{scope}
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer


























          • How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

            – minhthien_2016
            3 hours ago











          • You don't repair your code.

            – minhthien_2016
            3 hours ago











          • You changed Figure, but didn't code?

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

            – marmot
            2 hours ago






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago














          4












          4








          4







          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
          (current bounding box.north east)} }}
          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

          draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          path (I) circle ({1.01*7/sqrt(3)});
          begin{scope}
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle ({7/sqrt(3)});
          end{scope}
          begin{scope}
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle ({7/sqrt(3)});
          end{scope}
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}


          enter image description here






          share|improve this answer















          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzset{reverseclip/.style={insert path={(current bounding box.south west)rectangle
          (current bounding box.north east)} }}
          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) -- (A) (S) --(B) (S) -- (C) ;

          draw[dashed ] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          path (I) circle ({1.01*7/sqrt(3)});
          begin{scope}
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle ({7/sqrt(3)});
          end{scope}
          begin{scope}
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle ({7/sqrt(3)});
          end{scope}
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 hours ago

























          answered 3 hours ago









          marmotmarmot

          107k5129244




          107k5129244













          • How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

            – minhthien_2016
            3 hours ago











          • You don't repair your code.

            – minhthien_2016
            3 hours ago











          • You changed Figure, but didn't code?

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

            – marmot
            2 hours ago






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago



















          • How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

            – minhthien_2016
            3 hours ago











          • You don't repair your code.

            – minhthien_2016
            3 hours ago











          • You changed Figure, but didn't code?

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

            – marmot
            2 hours ago






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago

















          How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

          – minhthien_2016
          3 hours ago





          How can I use dashed instead of dotted in the line ` draw[thick,dotted] (I) circle ({7/sqrt(3)});`

          – minhthien_2016
          3 hours ago













          You don't repair your code.

          – minhthien_2016
          3 hours ago





          You don't repair your code.

          – minhthien_2016
          3 hours ago













          You changed Figure, but didn't code?

          – minhthien_2016
          2 hours ago





          You changed Figure, but didn't code?

          – minhthien_2016
          2 hours ago













          @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

          – marmot
          2 hours ago





          @minhthien_2016 Yes, you are right. Sorry! I fixed it. (I actually do not know what went wrong, perhaps I forgot to press command+c so that the older version was in the buffer.)

          – marmot
          2 hours ago




          1




          1





          Thank you very much.

          – minhthien_2016
          2 hours ago





          Thank you very much.

          – minhthien_2016
          2 hours ago











          2














          Using the intersections library, the code would look like this (I have highlighted in red the required line):



          enter image description here



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          usetikzlibrary{intersections}
          colorlet{bgcolor}{white}

          tikzset{
          overdraw/.style={preaction={draw,bgcolor,line width=#1}},
          overdraw/.default=2pt
          }

          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) --(B);
          draw[very thick,name path=SC] (S) -- (C);
          draw[very thick,name path=SA] (S) -- (A);

          draw[very thick,name path=CIR] (I) circle ({7/sqrt(3)});

          path [name intersections={of=SC and CIR, by={C,C'}}];
          path [name intersections={of=SA and CIR, by={D,D'}}];
          draw[red,dashed,overdraw] (C') to [bend right=-10] (D'); %to draw the curved path
          draw[dashed] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}





          share|improve this answer


























          • I think, the lines don't cut path=CIR.

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            2 hours ago
















          2














          Using the intersections library, the code would look like this (I have highlighted in red the required line):



          enter image description here



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          usetikzlibrary{intersections}
          colorlet{bgcolor}{white}

          tikzset{
          overdraw/.style={preaction={draw,bgcolor,line width=#1}},
          overdraw/.default=2pt
          }

          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) --(B);
          draw[very thick,name path=SC] (S) -- (C);
          draw[very thick,name path=SA] (S) -- (A);

          draw[very thick,name path=CIR] (I) circle ({7/sqrt(3)});

          path [name intersections={of=SC and CIR, by={C,C'}}];
          path [name intersections={of=SA and CIR, by={D,D'}}];
          draw[red,dashed,overdraw] (C') to [bend right=-10] (D'); %to draw the curved path
          draw[dashed] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}





          share|improve this answer


























          • I think, the lines don't cut path=CIR.

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            2 hours ago














          2












          2








          2







          Using the intersections library, the code would look like this (I have highlighted in red the required line):



          enter image description here



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          usetikzlibrary{intersections}
          colorlet{bgcolor}{white}

          tikzset{
          overdraw/.style={preaction={draw,bgcolor,line width=#1}},
          overdraw/.default=2pt
          }

          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) --(B);
          draw[very thick,name path=SC] (S) -- (C);
          draw[very thick,name path=SA] (S) -- (A);

          draw[very thick,name path=CIR] (I) circle ({7/sqrt(3)});

          path [name intersections={of=SC and CIR, by={C,C'}}];
          path [name intersections={of=SA and CIR, by={D,D'}}];
          draw[red,dashed,overdraw] (C') to [bend right=-10] (D'); %to draw the curved path
          draw[dashed] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}





          share|improve this answer















          Using the intersections library, the code would look like this (I have highlighted in red the required line):



          enter image description here



          documentclass[border=2 mm,12pt]{standalone}
          usepackage{fouriernc}
          usepackage{tikz}
          usepackage{tikz-3dplot}
          usetikzlibrary{intersections}
          colorlet{bgcolor}{white}

          tikzset{
          overdraw/.style={preaction={draw,bgcolor,line width=#1}},
          overdraw/.default=2pt
          }

          begin{document}
          tdplotsetmaincoords{70}{180}
          begin{tikzpicture}[tdplot_main_coords,line join = round, line cap = round]
          coordinate (A) at (0,0,0);
          coordinate (S) at (7/2,{-7*sqrt(3)/6},14/3);
          coordinate (C) at (7,0,0);
          coordinate (B) at ({65/14},{15*sqrt(3)/14},0);
          coordinate (I) at (7/2,{-7*sqrt(3)/6},0) ;

          draw[very thick] (A) -- (B) (B) -- (C) (S) --(B);
          draw[very thick,name path=SC] (S) -- (C);
          draw[very thick,name path=SA] (S) -- (A);

          draw[very thick,name path=CIR] (I) circle ({7/sqrt(3)});

          path [name intersections={of=SC and CIR, by={C,C'}}];
          path [name intersections={of=SA and CIR, by={D,D'}}];
          draw[red,dashed,overdraw] (C') to [bend right=-10] (D'); %to draw the curved path
          draw[dashed] (C) -- (A) (I) -- (A) (I) -- (B) (I) --(C) (S) --(I) ;
          foreach point/position in {A/below,B/below,C/below,
          I/below,S/above}
          {
          fill (point) circle (1.5pt);
          node[position=3pt] at (point) {$point$};
          }
          end{tikzpicture}
          end{document}






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 hours ago

























          answered 2 hours ago









          subham sonisubham soni

          4,24082981




          4,24082981













          • I think, the lines don't cut path=CIR.

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            2 hours ago



















          • I think, the lines don't cut path=CIR.

            – minhthien_2016
            2 hours ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            2 hours ago

















          I think, the lines don't cut path=CIR.

          – minhthien_2016
          2 hours ago





          I think, the lines don't cut path=CIR.

          – minhthien_2016
          2 hours ago













          @minhthien_2016 - I have updated my answer.

          – subham soni
          2 hours ago





          @minhthien_2016 - I have updated my answer.

          – subham soni
          2 hours ago


















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