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Add an angle to a sphere
How can I draw an arc from point A -> B on a 3D sphere in TikZ?How is the center point of an arc path determined?How can I draw tikz arrows on a calculated triangle?tikz: draw a piece of a path between given coordinatesPGF: draw longitudinal arcs in 3D axis environmentTikZ: Drawing an arc from an intersection to an intersectionPositioning entries in a Venn diagramA node not being typesetDraw a sphere in TikzFill a section between two circles with TikZFill angle text in TikZ
I have a sphere (taken from http://www.texample.net/tikz/examples/, credits to Bartman):
% Steradian cone in sphere
% Author: Bartman
documentclass[tikz,border=10pt]standalone
%%%<
usepackageverbatim
%%%>
begincomment
:Title: Steradian cone in sphere
:Tags: 3D;Angles;Intersections;Shadings;MMathematics;Geometry
:Author: Bartman
:Slug: steradian-cone-sphere
A graphical representation of a steradian.
It is the solid angle subtended at the center
of a unit sphere by a unit area on its surface. (Wikipedia)
Made by Bartman on
http://golatex.de/3d-kugel-in-tikz-t17380.html
The part of the cone is from http://tex.stackexchange.com/a/186109/213
endcomment
usepackagesansmath
usetikzlibraryshadings,intersections
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
% ball background color
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
% cone
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
% ball
draw (O) circle [radius=2cm];
% label of ball center point
filldraw (O) circle (1pt) node[below] $O$;
% radius
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33);
draw[densely dashed] (O) -- (1.33,1.33);
% cut of ball surface
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
% label of cut of ball surface
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
endtikzpicture
enddocument
I want to add an angle alpha like this:
How can I do this?
tikz-pgf tikz-angles
New contributor
add a comment |
I have a sphere (taken from http://www.texample.net/tikz/examples/, credits to Bartman):
% Steradian cone in sphere
% Author: Bartman
documentclass[tikz,border=10pt]standalone
%%%<
usepackageverbatim
%%%>
begincomment
:Title: Steradian cone in sphere
:Tags: 3D;Angles;Intersections;Shadings;MMathematics;Geometry
:Author: Bartman
:Slug: steradian-cone-sphere
A graphical representation of a steradian.
It is the solid angle subtended at the center
of a unit sphere by a unit area on its surface. (Wikipedia)
Made by Bartman on
http://golatex.de/3d-kugel-in-tikz-t17380.html
The part of the cone is from http://tex.stackexchange.com/a/186109/213
endcomment
usepackagesansmath
usetikzlibraryshadings,intersections
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
% ball background color
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
% cone
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
% ball
draw (O) circle [radius=2cm];
% label of ball center point
filldraw (O) circle (1pt) node[below] $O$;
% radius
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33);
draw[densely dashed] (O) -- (1.33,1.33);
% cut of ball surface
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
% label of cut of ball surface
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
endtikzpicture
enddocument
I want to add an angle alpha like this:
How can I do this?
tikz-pgf tikz-angles
New contributor
add a comment |
I have a sphere (taken from http://www.texample.net/tikz/examples/, credits to Bartman):
% Steradian cone in sphere
% Author: Bartman
documentclass[tikz,border=10pt]standalone
%%%<
usepackageverbatim
%%%>
begincomment
:Title: Steradian cone in sphere
:Tags: 3D;Angles;Intersections;Shadings;MMathematics;Geometry
:Author: Bartman
:Slug: steradian-cone-sphere
A graphical representation of a steradian.
It is the solid angle subtended at the center
of a unit sphere by a unit area on its surface. (Wikipedia)
Made by Bartman on
http://golatex.de/3d-kugel-in-tikz-t17380.html
The part of the cone is from http://tex.stackexchange.com/a/186109/213
endcomment
usepackagesansmath
usetikzlibraryshadings,intersections
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
% ball background color
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
% cone
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
% ball
draw (O) circle [radius=2cm];
% label of ball center point
filldraw (O) circle (1pt) node[below] $O$;
% radius
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33);
draw[densely dashed] (O) -- (1.33,1.33);
% cut of ball surface
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
% label of cut of ball surface
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
endtikzpicture
enddocument
I want to add an angle alpha like this:
How can I do this?
tikz-pgf tikz-angles
New contributor
I have a sphere (taken from http://www.texample.net/tikz/examples/, credits to Bartman):
% Steradian cone in sphere
% Author: Bartman
documentclass[tikz,border=10pt]standalone
%%%<
usepackageverbatim
%%%>
begincomment
:Title: Steradian cone in sphere
:Tags: 3D;Angles;Intersections;Shadings;MMathematics;Geometry
:Author: Bartman
:Slug: steradian-cone-sphere
A graphical representation of a steradian.
It is the solid angle subtended at the center
of a unit sphere by a unit area on its surface. (Wikipedia)
Made by Bartman on
http://golatex.de/3d-kugel-in-tikz-t17380.html
The part of the cone is from http://tex.stackexchange.com/a/186109/213
endcomment
usepackagesansmath
usetikzlibraryshadings,intersections
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
% ball background color
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
% cone
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
% ball
draw (O) circle [radius=2cm];
% label of ball center point
filldraw (O) circle (1pt) node[below] $O$;
% radius
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33);
draw[densely dashed] (O) -- (1.33,1.33);
% cut of ball surface
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
% label of cut of ball surface
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
endtikzpicture
enddocument
I want to add an angle alpha like this:
How can I do this?
tikz-pgf tikz-angles
tikz-pgf tikz-angles
New contributor
New contributor
New contributor
asked 14 hours ago
medihdemedihde
373
373
New contributor
New contributor
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
First, you have to name the coordinate for the edges of the angle. Here I use (x)
and (y)
.
documentclass[tikz,border=10pt]standalone
usepackagesansmath
usetikzlibraryshadings,intersections,quotes,angles
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
draw (O) circle [radius=2cm];
filldraw (O) circle (1pt) node[below] $O$;
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33) coordinate (x);
draw[densely dashed] (O) -- (1.33,1.33) coordinate (y);
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
% Command for the angle
pic[draw,->,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"] angle=y--O--x;
endtikzpicture
enddocument
add a comment |
This is just a small addendum to Joule V's nice answer, which solved the main problem. By now there are IMHO much better tools available to draw such graphs.
tikz-3dplot
allows you to install orthographic projections, i.e. dial the view angles.- The
3d
library allows you to switch to a plane to e.g. draw a latitude circle. So you no longer need to guess ellipses. - The angle of visibility, i.e. the angle at which the dashed lines turn in solid ones and vice versa has been compute e.g. here, so you do not need to guess this either.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
tdplotsetmaincoords8000
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang50 % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
The following animation shows that you can dial view and latitude as you wish.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
foreach Angle in 5,15,...,355
tdplotsetmaincoords70+cos(Angle)00
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang40+15*sin(2*Angle) % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
add a comment |
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2 Answers
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2 Answers
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First, you have to name the coordinate for the edges of the angle. Here I use (x)
and (y)
.
documentclass[tikz,border=10pt]standalone
usepackagesansmath
usetikzlibraryshadings,intersections,quotes,angles
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
draw (O) circle [radius=2cm];
filldraw (O) circle (1pt) node[below] $O$;
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33) coordinate (x);
draw[densely dashed] (O) -- (1.33,1.33) coordinate (y);
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
% Command for the angle
pic[draw,->,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"] angle=y--O--x;
endtikzpicture
enddocument
add a comment |
First, you have to name the coordinate for the edges of the angle. Here I use (x)
and (y)
.
documentclass[tikz,border=10pt]standalone
usepackagesansmath
usetikzlibraryshadings,intersections,quotes,angles
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
draw (O) circle [radius=2cm];
filldraw (O) circle (1pt) node[below] $O$;
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33) coordinate (x);
draw[densely dashed] (O) -- (1.33,1.33) coordinate (y);
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
% Command for the angle
pic[draw,->,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"] angle=y--O--x;
endtikzpicture
enddocument
add a comment |
First, you have to name the coordinate for the edges of the angle. Here I use (x)
and (y)
.
documentclass[tikz,border=10pt]standalone
usepackagesansmath
usetikzlibraryshadings,intersections,quotes,angles
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
draw (O) circle [radius=2cm];
filldraw (O) circle (1pt) node[below] $O$;
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33) coordinate (x);
draw[densely dashed] (O) -- (1.33,1.33) coordinate (y);
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
% Command for the angle
pic[draw,->,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"] angle=y--O--x;
endtikzpicture
enddocument
First, you have to name the coordinate for the edges of the angle. Here I use (x)
and (y)
.
documentclass[tikz,border=10pt]standalone
usepackagesansmath
usetikzlibraryshadings,intersections,quotes,angles
begindocument
begintikzpicture[font = sansmath]
coordinate (O) at (0,0);
shade[ball color = blue, opacity = 0.2] (0,0) circle [radius = 2cm];
beginscope
defrx0.71% horizontal radius of the ellipse
defry0.15% vertical radius of the ellipse
defz0.725% distance from center of ellipse to origin
path [name path = ellipse] (0,z) ellipse (rx and ry);
path [name path = horizontal] (-rx,z-ry*ry/z)
-- (rx,z-ry*ry/z);
path [name intersections = of = ellipse and horizontal];
endscope
draw (O) circle [radius=2cm];
filldraw (O) circle (1pt) node[below] $O$;
draw[densely dashed] (O) to [edge label = $1$] (-1.33,1.33) coordinate (x);
draw[densely dashed] (O) -- (1.33,1.33) coordinate (y);
draw[red, densely dashed] (-1.36,1.46) arc [start angle = 170, end angle = 10,
x radius = 13.8mm, y radius = 3.6mm];
draw[red] (-1.29,1.52) arc [start angle=-200, end angle = 20,
x radius = 13.75mm, y radius = 3.15mm];
draw (-1.2,2.2) -- (-0.23,1.1) node at (-1.37,2.37) $B$;
% Command for the angle
pic[draw,->,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"] angle=y--O--x;
endtikzpicture
enddocument
answered 13 hours ago
JouleVJouleV
11.7k22561
11.7k22561
add a comment |
add a comment |
This is just a small addendum to Joule V's nice answer, which solved the main problem. By now there are IMHO much better tools available to draw such graphs.
tikz-3dplot
allows you to install orthographic projections, i.e. dial the view angles.- The
3d
library allows you to switch to a plane to e.g. draw a latitude circle. So you no longer need to guess ellipses. - The angle of visibility, i.e. the angle at which the dashed lines turn in solid ones and vice versa has been compute e.g. here, so you do not need to guess this either.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
tdplotsetmaincoords8000
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang50 % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
The following animation shows that you can dial view and latitude as you wish.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
foreach Angle in 5,15,...,355
tdplotsetmaincoords70+cos(Angle)00
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang40+15*sin(2*Angle) % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
add a comment |
This is just a small addendum to Joule V's nice answer, which solved the main problem. By now there are IMHO much better tools available to draw such graphs.
tikz-3dplot
allows you to install orthographic projections, i.e. dial the view angles.- The
3d
library allows you to switch to a plane to e.g. draw a latitude circle. So you no longer need to guess ellipses. - The angle of visibility, i.e. the angle at which the dashed lines turn in solid ones and vice versa has been compute e.g. here, so you do not need to guess this either.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
tdplotsetmaincoords8000
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang50 % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
The following animation shows that you can dial view and latitude as you wish.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
foreach Angle in 5,15,...,355
tdplotsetmaincoords70+cos(Angle)00
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang40+15*sin(2*Angle) % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
add a comment |
This is just a small addendum to Joule V's nice answer, which solved the main problem. By now there are IMHO much better tools available to draw such graphs.
tikz-3dplot
allows you to install orthographic projections, i.e. dial the view angles.- The
3d
library allows you to switch to a plane to e.g. draw a latitude circle. So you no longer need to guess ellipses. - The angle of visibility, i.e. the angle at which the dashed lines turn in solid ones and vice versa has been compute e.g. here, so you do not need to guess this either.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
tdplotsetmaincoords8000
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang50 % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
The following animation shows that you can dial view and latitude as you wish.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
foreach Angle in 5,15,...,355
tdplotsetmaincoords70+cos(Angle)00
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang40+15*sin(2*Angle) % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
This is just a small addendum to Joule V's nice answer, which solved the main problem. By now there are IMHO much better tools available to draw such graphs.
tikz-3dplot
allows you to install orthographic projections, i.e. dial the view angles.- The
3d
library allows you to switch to a plane to e.g. draw a latitude circle. So you no longer need to guess ellipses. - The angle of visibility, i.e. the angle at which the dashed lines turn in solid ones and vice versa has been compute e.g. here, so you do not need to guess this either.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
tdplotsetmaincoords8000
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang50 % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
The following animation shows that you can dial view and latitude as you wish.
documentclass[tikz,border=3.14mm]standalone
usepackagetikz-3dplot
usetikzlibrary3d,backgrounds,quotes,angles
begindocument
foreach Angle in 5,15,...,355
tdplotsetmaincoords70+cos(Angle)00
begintikzpicture[tdplot_main_coords]
pgfmathsetmacroR2 % radius
pgfmathsetmacromyang40+15*sin(2*Angle) % latitude angle of the red circle
coordinate (O) at (0,0,0);
shade[ball color = blue, opacity = 0.2,tdplot_screen_coords]
(O) circle [radius = R*1cm];
beginscope[canvas is xy plane at z=R*sin(myang),transform shape]
% angVis from https://tex.stackexchange.com/a/49589/121799
pgfmathsetmacroangVisatan(sin(myang)*cos(tdplotmaintheta)/sin(tdplotmaintheta))
beginscope[on background layer]
draw[red,dashed] (angVis:R*cos(myang)) arc (angVis:180-angVis:R*cos(myang));
endscope
draw[red] (180-angVis:R*cos(myang)) arc (180-angVis:360+angVis:R*cos(myang));
path (0:R*cos(myang)) coordinate (R)
(180:R*cos(myang)) coordinate (L);
endscope
beginscope[on background layer]
draw[dashed] (L) -- (O) node[midway,below] $L$ -- (R);
fill (O) circle[radius=1pt] node[below] $O$;
pic[draw,-latex,angle radius=.5cm,angle eccentricity=1.3,"$alpha$"]
angle=R--O--L;
endscope
endtikzpicture
enddocument
answered 12 hours ago
marmotmarmot
116k5147277
116k5147277
add a comment |
add a comment |
medihde is a new contributor. Be nice, and check out our Code of Conduct.
medihde is a new contributor. Be nice, and check out our Code of Conduct.
medihde is a new contributor. Be nice, and check out our Code of Conduct.
medihde is a new contributor. Be nice, and check out our Code of Conduct.
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