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Intersection of a sphere and a plane knowing equations
How can I draw this cylinder with 3D?
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
.
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
How can I draw the circle?
tikz-pgf tikz-3dplot
add a comment |
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
.
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
How can I draw the circle?
tikz-pgf tikz-3dplot
add a comment |
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
.
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
How can I draw the circle?
tikz-pgf tikz-3dplot
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
.
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
How can I draw the circle?
tikz-pgf tikz-3dplot
tikz-pgf tikz-3dplot
asked 1 min ago
minhthien_2016minhthien_2016
1,3511917
1,3511917
add a comment |
add a comment |
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