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How to draw dashed arc of a circle behind pyramid?


How can I invert a 'clip' selection within TikZ?Drawing a circle through 3 non-collinear pointsDraw circle perpendicular to lineHow to draw an arc greater than 180 deg in tikz-3dplot?How do I draw an arc from an axis to an arbitrary point tikz-3dplot?How to draw a pyramid with height and slant heigth with TikZ?How can I draw cones are inscribed in and circumscribed about a regular triangular pyramid?How can I draw a curved surface in a polar coordinate system?How can I draw a dash arc of this circle?How to draw differently, visible and hidden part of arbitrary circle on a sphereHow to draw an arc for a bulletHow to draw a circle (sphere) passing through four points?













1















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



I tried



documentclass[border=2 mm,12pt]standalone
usepackagefouriernc
usepackagetikz
usepackagetikz-3dplot
begindocument
tdplotsetmaincoords70180
begintikzpicture[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) $point$;

endtikzpicture
enddocument


and got



enter image description here



How to draw dashed arc of a circle behind pyramid?










share|improve this question


























    1















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



    I tried



    documentclass[border=2 mm,12pt]standalone
    usepackagefouriernc
    usepackagetikz
    usepackagetikz-3dplot
    begindocument
    tdplotsetmaincoords70180
    begintikzpicture[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) $point$;

    endtikzpicture
    enddocument


    and got



    enter image description here



    How to draw dashed arc of a circle behind pyramid?










    share|improve this question
























      1












      1








      1


      1






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



      I tried



      documentclass[border=2 mm,12pt]standalone
      usepackagefouriernc
      usepackagetikz
      usepackagetikz-3dplot
      begindocument
      tdplotsetmaincoords70180
      begintikzpicture[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) $point$;

      endtikzpicture
      enddocument


      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
      usepackagefouriernc
      usepackagetikz
      usepackagetikz-3dplot
      begindocument
      tdplotsetmaincoords70180
      begintikzpicture[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) $point$;

      endtikzpicture
      enddocument


      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 2 hours ago









      minhthien_2016minhthien_2016

      1,282917




      1,282917




















          2 Answers
          2






          active

          oldest

          votes


















          2














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]standalone
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzsetreverseclip/.style=insert path=(current bounding box.south west)rectangle
          (current bounding box.north east)
          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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));
          beginscope
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle (7/sqrt(3));
          endscope
          beginscope
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle (7/sqrt(3));
          endscope
          foreach point/position in A/below,B/below,C/below,
          I/below,S/above

          fill (point) circle (1.5pt);
          node[position=3pt] at (point) $point$;

          endtikzpicture
          enddocument


          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
            2 hours ago











          • You don't repair your 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






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago


















          1














          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
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          usetikzlibraryintersections
          colorletbgcolorwhite

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


          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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) $point$;

          endtikzpicture
          enddocument





          share|improve this answer

























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

            – minhthien_2016
            1 hour ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            1 hour 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









          2














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]standalone
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzsetreverseclip/.style=insert path=(current bounding box.south west)rectangle
          (current bounding box.north east)
          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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));
          beginscope
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle (7/sqrt(3));
          endscope
          beginscope
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle (7/sqrt(3));
          endscope
          foreach point/position in A/below,B/below,C/below,
          I/below,S/above

          fill (point) circle (1.5pt);
          node[position=3pt] at (point) $point$;

          endtikzpicture
          enddocument


          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
            2 hours ago











          • You don't repair your 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






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago















          2














          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]standalone
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzsetreverseclip/.style=insert path=(current bounding box.south west)rectangle
          (current bounding box.north east)
          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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));
          beginscope
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle (7/sqrt(3));
          endscope
          beginscope
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle (7/sqrt(3));
          endscope
          foreach point/position in A/below,B/below,C/below,
          I/below,S/above

          fill (point) circle (1.5pt);
          node[position=3pt] at (point) $point$;

          endtikzpicture
          enddocument


          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
            2 hours ago











          • You don't repair your 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






          • 1





            Thank you very much.

            – minhthien_2016
            2 hours ago













          2












          2








          2







          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]standalone
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzsetreverseclip/.style=insert path=(current bounding box.south west)rectangle
          (current bounding box.north east)
          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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));
          beginscope
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle (7/sqrt(3));
          endscope
          beginscope
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle (7/sqrt(3));
          endscope
          foreach point/position in A/below,B/below,C/below,
          I/below,S/above

          fill (point) circle (1.5pt);
          node[position=3pt] at (point) $point$;

          endtikzpicture
          enddocument


          enter image description here






          share|improve this answer















          One thing that always works is the reverseclip trick.



          documentclass[border=2 mm,12pt]standalone
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          % based on https://tex.stackexchange.com/a/12033/121799
          tikzsetreverseclip/.style=insert path=(current bounding box.south west)rectangle
          (current bounding box.north east)
          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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));
          beginscope
          clip (S) -- (C) -- (B) -- (A) -- cycle [reverseclip];
          draw[very thick] (I) circle (7/sqrt(3));
          endscope
          beginscope
          clip (S) -- (C) -- (B) -- (A);
          draw[dashed] (I) circle (7/sqrt(3));
          endscope
          foreach point/position in A/below,B/below,C/below,
          I/below,S/above

          fill (point) circle (1.5pt);
          node[position=3pt] at (point) $point$;

          endtikzpicture
          enddocument


          enter image description here







          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 2 hours ago

























          answered 2 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
            2 hours ago











          • You don't repair your 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






          • 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
            2 hours ago











          • You don't repair your 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






          • 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
          2 hours ago





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

          – minhthien_2016
          2 hours ago













          You don't repair your code.

          – minhthien_2016
          2 hours ago





          You don't repair your code.

          – minhthien_2016
          2 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











          1














          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
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          usetikzlibraryintersections
          colorletbgcolorwhite

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


          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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) $point$;

          endtikzpicture
          enddocument





          share|improve this answer

























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

            – minhthien_2016
            1 hour ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            1 hour ago















          1














          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
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          usetikzlibraryintersections
          colorletbgcolorwhite

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


          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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) $point$;

          endtikzpicture
          enddocument





          share|improve this answer

























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

            – minhthien_2016
            1 hour ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            1 hour ago













          1












          1








          1







          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
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          usetikzlibraryintersections
          colorletbgcolorwhite

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


          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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) $point$;

          endtikzpicture
          enddocument





          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
          usepackagefouriernc
          usepackagetikz
          usepackagetikz-3dplot
          usetikzlibraryintersections
          colorletbgcolorwhite

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


          begindocument
          tdplotsetmaincoords70180
          begintikzpicture[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) $point$;

          endtikzpicture
          enddocument






          share|improve this answer














          share|improve this answer



          share|improve this answer








          edited 1 hour ago

























          answered 1 hour ago









          subham sonisubham soni

          4,23082981




          4,23082981












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

            – minhthien_2016
            1 hour ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            1 hour ago

















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

            – minhthien_2016
            1 hour ago











          • @minhthien_2016 - I have updated my answer.

            – subham soni
            1 hour ago
















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

          – minhthien_2016
          1 hour ago





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

          – minhthien_2016
          1 hour ago













          @minhthien_2016 - I have updated my answer.

          – subham soni
          1 hour ago





          @minhthien_2016 - I have updated my answer.

          – subham soni
          1 hour ago

















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