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Intersection of a sphere and a plane knowing equations


How can I draw this cylinder with 3D?













0















I am trying draw a circle is intersection of a plane has equation 2 x − 2 y + z − 15 = 0 and the equation of the sphere is ( x − 1)^2 + ( y + 1)^ 2 + ( z − 2)^ 2 − 25 = 0.
enter image description here



The plane cut the sphere is a circle with centre (3,-3,3 and radius r = 4.



I can't draw the circle. I tried



documentclass[12pt,border = 2 mm]standalone
usepackagetikz
usepackagetikz-3dplot
usetikzlibraryarrows,calc,backgrounds
begindocument
tdplotsetmaincoords60110
begintikzpicture[tdplot_main_coords]
path
coordinate (T) at (3,-3,3)
coordinate (I) at (1,-1,2);

foreach v/position in T/above,I/below
draw[fill=black] (v) circle (0.7pt) node [position=0.2mm] $v$;


draw[dashed] (T) circle[radius=4];

beginscope[tdplot_screen_coords, on background layer]
pgfmathsetmacroR5%
fill[ball color=purple, opacity=1.0] (I) circle (R);
endscope
endtikzpicture
enddocument


enter image description here



How can I draw the circle?









share


























    0















    I am trying draw a circle is intersection of a plane has equation 2 x − 2 y + z − 15 = 0 and the equation of the sphere is ( x − 1)^2 + ( y + 1)^ 2 + ( z − 2)^ 2 − 25 = 0.
    enter image description here



    The plane cut the sphere is a circle with centre (3,-3,3 and radius r = 4.



    I can't draw the circle. I tried



    documentclass[12pt,border = 2 mm]standalone
    usepackagetikz
    usepackagetikz-3dplot
    usetikzlibraryarrows,calc,backgrounds
    begindocument
    tdplotsetmaincoords60110
    begintikzpicture[tdplot_main_coords]
    path
    coordinate (T) at (3,-3,3)
    coordinate (I) at (1,-1,2);

    foreach v/position in T/above,I/below
    draw[fill=black] (v) circle (0.7pt) node [position=0.2mm] $v$;


    draw[dashed] (T) circle[radius=4];

    beginscope[tdplot_screen_coords, on background layer]
    pgfmathsetmacroR5%
    fill[ball color=purple, opacity=1.0] (I) circle (R);
    endscope
    endtikzpicture
    enddocument


    enter image description here



    How can I draw the circle?









    share
























      0












      0








      0








      I am trying draw a circle is intersection of a plane has equation 2 x − 2 y + z − 15 = 0 and the equation of the sphere is ( x − 1)^2 + ( y + 1)^ 2 + ( z − 2)^ 2 − 25 = 0.
      enter image description here



      The plane cut the sphere is a circle with centre (3,-3,3 and radius r = 4.



      I can't draw the circle. I tried



      documentclass[12pt,border = 2 mm]standalone
      usepackagetikz
      usepackagetikz-3dplot
      usetikzlibraryarrows,calc,backgrounds
      begindocument
      tdplotsetmaincoords60110
      begintikzpicture[tdplot_main_coords]
      path
      coordinate (T) at (3,-3,3)
      coordinate (I) at (1,-1,2);

      foreach v/position in T/above,I/below
      draw[fill=black] (v) circle (0.7pt) node [position=0.2mm] $v$;


      draw[dashed] (T) circle[radius=4];

      beginscope[tdplot_screen_coords, on background layer]
      pgfmathsetmacroR5%
      fill[ball color=purple, opacity=1.0] (I) circle (R);
      endscope
      endtikzpicture
      enddocument


      enter image description here



      How can I draw the circle?









      share














      I am trying draw a circle is intersection of a plane has equation 2 x − 2 y + z − 15 = 0 and the equation of the sphere is ( x − 1)^2 + ( y + 1)^ 2 + ( z − 2)^ 2 − 25 = 0.
      enter image description here



      The plane cut the sphere is a circle with centre (3,-3,3 and radius r = 4.



      I can't draw the circle. I tried



      documentclass[12pt,border = 2 mm]standalone
      usepackagetikz
      usepackagetikz-3dplot
      usetikzlibraryarrows,calc,backgrounds
      begindocument
      tdplotsetmaincoords60110
      begintikzpicture[tdplot_main_coords]
      path
      coordinate (T) at (3,-3,3)
      coordinate (I) at (1,-1,2);

      foreach v/position in T/above,I/below
      draw[fill=black] (v) circle (0.7pt) node [position=0.2mm] $v$;


      draw[dashed] (T) circle[radius=4];

      beginscope[tdplot_screen_coords, on background layer]
      pgfmathsetmacroR5%
      fill[ball color=purple, opacity=1.0] (I) circle (R);
      endscope
      endtikzpicture
      enddocument


      enter image description here



      How can I draw the circle?







      tikz-pgf tikz-3dplot





      share












      share










      share



      share










      asked 1 min ago









      minhthien_2016minhthien_2016

      1,3511917




      1,3511917




















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