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Intersection of a sphere and a plane knowing equations


How can I draw this cylinder with 3D?Rotate a node but not its content: the case of the ellipse decorationHow to define the default vertical distance between nodes?Is it possible to draw a 3d cylinder using TikZ-3dplot?Numerical conditional within tikz keys?TikZ: Drawing an arc from an intersection to an intersectionSphere Tangent to PlanePlotting intersection of a sphere with a planeLine up nested tikz enviroments or how to get rid of themDrawing a line, a plane, and a sphere, and their points of intersectionPlotting the intersection of a sphere with a plane













1















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}
usepackage{tikz}
usepackage{tikz-3dplot}
usetikzlibrary{arrows,calc,backgrounds}
begin{document}
tdplotsetmaincoords{60}{110}
begin{tikzpicture}[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}];

begin{scope}[tdplot_screen_coords, on background layer]
pgfmathsetmacro{R}{5}%
fill[ball color=purple, opacity=1.0] (I) circle (R);
end{scope}
end{tikzpicture}
end{document}


enter image description here



How can I draw the circle?









share



























    1















    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}
    usepackage{tikz}
    usepackage{tikz-3dplot}
    usetikzlibrary{arrows,calc,backgrounds}
    begin{document}
    tdplotsetmaincoords{60}{110}
    begin{tikzpicture}[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}];

    begin{scope}[tdplot_screen_coords, on background layer]
    pgfmathsetmacro{R}{5}%
    fill[ball color=purple, opacity=1.0] (I) circle (R);
    end{scope}
    end{tikzpicture}
    end{document}


    enter image description here



    How can I draw the circle?









    share

























      1












      1








      1








      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}
      usepackage{tikz}
      usepackage{tikz-3dplot}
      usetikzlibrary{arrows,calc,backgrounds}
      begin{document}
      tdplotsetmaincoords{60}{110}
      begin{tikzpicture}[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}];

      begin{scope}[tdplot_screen_coords, on background layer]
      pgfmathsetmacro{R}{5}%
      fill[ball color=purple, opacity=1.0] (I) circle (R);
      end{scope}
      end{tikzpicture}
      end{document}


      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}
      usepackage{tikz}
      usepackage{tikz-3dplot}
      usetikzlibrary{arrows,calc,backgrounds}
      begin{document}
      tdplotsetmaincoords{60}{110}
      begin{tikzpicture}[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}];

      begin{scope}[tdplot_screen_coords, on background layer]
      pgfmathsetmacro{R}{5}%
      fill[ball color=purple, opacity=1.0] (I) circle (R);
      end{scope}
      end{tikzpicture}
      end{document}


      enter image description here



      How can I draw the circle?







      tikz-pgf tikz-3dplot





      share












      share










      share



      share










      asked 5 mins ago









      minhthien_2016minhthien_2016

      1,3561917




      1,3561917






















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