How do I plot an ellipse with addplot with using an equation
up vote
1
down vote
favorite
i am trying to plot an ellipse in my coordinate system. TikZ provides an implemented easy method for plotting ellipses, but I don't like it — I want to draw my ellipses with actual analytic equations.
When I tried addplot[line width=0.7pt, red, samples=2000]{(x^2)/9 + (y^2)/3 == 1};
, I got this error message:
! Package pgfplots Error: Sorry, you can't use 'y' in this context. PGFPlots expected to sample a line, not a mesh. Please use the [mesh] option combined with [samples y>0] and [domain y!=0:0] to indicate a twodimensional input domain.
I took the advice and added [mesh]
, [scale y>0]
and [y!=0:0]
to my addplot
preamble. Well, it didn't go well, as it produced this error:
! Package pgfplots Error: Sorry, the supplied plot command is unknown or unsupported by pgfplots! Ignoring it..
Well, looks like pgfplots
doesn't like and y
's in equations. Fine, I'll just express the y
and proceed from there. From this process, I got addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
, which did render, but only the lower part of the ellipse. This is to be expected, as the program is only taking either negative or positive part of the square root argument when drawing the first addplot
. The solution is to simply add a -
to the equation (or in this case, remove it, sice the original equation already had a -
) in the next addplot
to force the program to finally (kind of) render the complete ellipse, which brings me to my MWE:
documentclass{standalone}
usepackage{pgfplots}
usepackage{tikz}
usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
addplot[line width=0.7pt, red, samples=2000]{sqrt(9 - x^2)/sqrt(3)};
end{axis}
end{tikzpicture}
end{document}
Which produces:
I am displeased with my result because:
- of the need for graphing two graphs for a single ellipse,
- of the fact that the graph doesn't render near antipodal points (of origin),
- of the fact that I have to set a very large
samples
value to get even an arguably decent result (if I don't, the gap between antipodal points will be even bigger).
Please, help me plot an ellipse with addplot
by means of a single equation. Thank you in advance.
tikz-pgf pgfplots graphs
add a comment |
up vote
1
down vote
favorite
i am trying to plot an ellipse in my coordinate system. TikZ provides an implemented easy method for plotting ellipses, but I don't like it — I want to draw my ellipses with actual analytic equations.
When I tried addplot[line width=0.7pt, red, samples=2000]{(x^2)/9 + (y^2)/3 == 1};
, I got this error message:
! Package pgfplots Error: Sorry, you can't use 'y' in this context. PGFPlots expected to sample a line, not a mesh. Please use the [mesh] option combined with [samples y>0] and [domain y!=0:0] to indicate a twodimensional input domain.
I took the advice and added [mesh]
, [scale y>0]
and [y!=0:0]
to my addplot
preamble. Well, it didn't go well, as it produced this error:
! Package pgfplots Error: Sorry, the supplied plot command is unknown or unsupported by pgfplots! Ignoring it..
Well, looks like pgfplots
doesn't like and y
's in equations. Fine, I'll just express the y
and proceed from there. From this process, I got addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
, which did render, but only the lower part of the ellipse. This is to be expected, as the program is only taking either negative or positive part of the square root argument when drawing the first addplot
. The solution is to simply add a -
to the equation (or in this case, remove it, sice the original equation already had a -
) in the next addplot
to force the program to finally (kind of) render the complete ellipse, which brings me to my MWE:
documentclass{standalone}
usepackage{pgfplots}
usepackage{tikz}
usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
addplot[line width=0.7pt, red, samples=2000]{sqrt(9 - x^2)/sqrt(3)};
end{axis}
end{tikzpicture}
end{document}
Which produces:
I am displeased with my result because:
- of the need for graphing two graphs for a single ellipse,
- of the fact that the graph doesn't render near antipodal points (of origin),
- of the fact that I have to set a very large
samples
value to get even an arguably decent result (if I don't, the gap between antipodal points will be even bigger).
Please, help me plot an ellipse with addplot
by means of a single equation. Thank you in advance.
tikz-pgf pgfplots graphs
Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
i am trying to plot an ellipse in my coordinate system. TikZ provides an implemented easy method for plotting ellipses, but I don't like it — I want to draw my ellipses with actual analytic equations.
When I tried addplot[line width=0.7pt, red, samples=2000]{(x^2)/9 + (y^2)/3 == 1};
, I got this error message:
! Package pgfplots Error: Sorry, you can't use 'y' in this context. PGFPlots expected to sample a line, not a mesh. Please use the [mesh] option combined with [samples y>0] and [domain y!=0:0] to indicate a twodimensional input domain.
I took the advice and added [mesh]
, [scale y>0]
and [y!=0:0]
to my addplot
preamble. Well, it didn't go well, as it produced this error:
! Package pgfplots Error: Sorry, the supplied plot command is unknown or unsupported by pgfplots! Ignoring it..
Well, looks like pgfplots
doesn't like and y
's in equations. Fine, I'll just express the y
and proceed from there. From this process, I got addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
, which did render, but only the lower part of the ellipse. This is to be expected, as the program is only taking either negative or positive part of the square root argument when drawing the first addplot
. The solution is to simply add a -
to the equation (or in this case, remove it, sice the original equation already had a -
) in the next addplot
to force the program to finally (kind of) render the complete ellipse, which brings me to my MWE:
documentclass{standalone}
usepackage{pgfplots}
usepackage{tikz}
usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
addplot[line width=0.7pt, red, samples=2000]{sqrt(9 - x^2)/sqrt(3)};
end{axis}
end{tikzpicture}
end{document}
Which produces:
I am displeased with my result because:
- of the need for graphing two graphs for a single ellipse,
- of the fact that the graph doesn't render near antipodal points (of origin),
- of the fact that I have to set a very large
samples
value to get even an arguably decent result (if I don't, the gap between antipodal points will be even bigger).
Please, help me plot an ellipse with addplot
by means of a single equation. Thank you in advance.
tikz-pgf pgfplots graphs
i am trying to plot an ellipse in my coordinate system. TikZ provides an implemented easy method for plotting ellipses, but I don't like it — I want to draw my ellipses with actual analytic equations.
When I tried addplot[line width=0.7pt, red, samples=2000]{(x^2)/9 + (y^2)/3 == 1};
, I got this error message:
! Package pgfplots Error: Sorry, you can't use 'y' in this context. PGFPlots expected to sample a line, not a mesh. Please use the [mesh] option combined with [samples y>0] and [domain y!=0:0] to indicate a twodimensional input domain.
I took the advice and added [mesh]
, [scale y>0]
and [y!=0:0]
to my addplot
preamble. Well, it didn't go well, as it produced this error:
! Package pgfplots Error: Sorry, the supplied plot command is unknown or unsupported by pgfplots! Ignoring it..
Well, looks like pgfplots
doesn't like and y
's in equations. Fine, I'll just express the y
and proceed from there. From this process, I got addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
, which did render, but only the lower part of the ellipse. This is to be expected, as the program is only taking either negative or positive part of the square root argument when drawing the first addplot
. The solution is to simply add a -
to the equation (or in this case, remove it, sice the original equation already had a -
) in the next addplot
to force the program to finally (kind of) render the complete ellipse, which brings me to my MWE:
documentclass{standalone}
usepackage{pgfplots}
usepackage{tikz}
usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[line width=0.7pt, red, samples=2000]{-sqrt(9 - x^2)/sqrt(3)};
addplot[line width=0.7pt, red, samples=2000]{sqrt(9 - x^2)/sqrt(3)};
end{axis}
end{tikzpicture}
end{document}
Which produces:
I am displeased with my result because:
- of the need for graphing two graphs for a single ellipse,
- of the fact that the graph doesn't render near antipodal points (of origin),
- of the fact that I have to set a very large
samples
value to get even an arguably decent result (if I don't, the gap between antipodal points will be even bigger).
Please, help me plot an ellipse with addplot
by means of a single equation. Thank you in advance.
tikz-pgf pgfplots graphs
tikz-pgf pgfplots graphs
asked 2 days ago
Gregor Perčič
976211
976211
Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago
add a comment |
Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago
Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago
Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago
add a comment |
2 Answers
2
active
oldest
votes
up vote
2
down vote
accepted
Can use polar coordinates to plot an ellipse. For equation, read polar form of ellipse.
This is just a minimum working example. Parameter values has to be adjusted to match exact requirement.
documentclass[border=3mm]{standalone}
usepackage{pgfplots}
%usepackage{tikz}
%usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[domain=0:360,data cs=polar, samples=200,
line width=0.7pt, red] (x,{1/(sqrt(0.3-0.2*cos(x)*cos(x)))});
end{axis}
end{tikzpicture}
end{document}
add a comment |
up vote
4
down vote
These plotting programs are typically for plotting functions, which an ellipse isn't. Besides breaking the relation into two functions, as you've done, it's also possible (and in fact works better to avoid needing so many sample points) to define the ellipse as parametric equations; see the section on converting ellipses. You have to know that deg(x) is needed for syntax to get radians and the domain has to cover a range of 2pi; I've got it going from -pi to pi but 0 to 2pi also works. To make sure less points are needed I extended to -3.4 to 3.4
documentclass{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot [domain=-pi:pi,samples=200,red,line width=0.7pt]({3*sin(deg(x))}, {sqrt(3)*cos(deg(x))});
end{axis}
end{tikzpicture}
end{document}
This is the result running in Gummi.
- a single addplot was used
- the graph renders well everywhere
- the sample size is much smaller
EDIT: code modified in response to marmot's comments below.
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps usedomain=-pi:pi
and it is not necessary to loadtikz
afterpgfplots
.
– marmot
yesterday
Good point abouttikz
afterpgfplots
; I also don't need thecalc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.
– DJP
yesterday
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
2
down vote
accepted
Can use polar coordinates to plot an ellipse. For equation, read polar form of ellipse.
This is just a minimum working example. Parameter values has to be adjusted to match exact requirement.
documentclass[border=3mm]{standalone}
usepackage{pgfplots}
%usepackage{tikz}
%usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[domain=0:360,data cs=polar, samples=200,
line width=0.7pt, red] (x,{1/(sqrt(0.3-0.2*cos(x)*cos(x)))});
end{axis}
end{tikzpicture}
end{document}
add a comment |
up vote
2
down vote
accepted
Can use polar coordinates to plot an ellipse. For equation, read polar form of ellipse.
This is just a minimum working example. Parameter values has to be adjusted to match exact requirement.
documentclass[border=3mm]{standalone}
usepackage{pgfplots}
%usepackage{tikz}
%usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[domain=0:360,data cs=polar, samples=200,
line width=0.7pt, red] (x,{1/(sqrt(0.3-0.2*cos(x)*cos(x)))});
end{axis}
end{tikzpicture}
end{document}
add a comment |
up vote
2
down vote
accepted
up vote
2
down vote
accepted
Can use polar coordinates to plot an ellipse. For equation, read polar form of ellipse.
This is just a minimum working example. Parameter values has to be adjusted to match exact requirement.
documentclass[border=3mm]{standalone}
usepackage{pgfplots}
%usepackage{tikz}
%usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[domain=0:360,data cs=polar, samples=200,
line width=0.7pt, red] (x,{1/(sqrt(0.3-0.2*cos(x)*cos(x)))});
end{axis}
end{tikzpicture}
end{document}
Can use polar coordinates to plot an ellipse. For equation, read polar form of ellipse.
This is just a minimum working example. Parameter values has to be adjusted to match exact requirement.
documentclass[border=3mm]{standalone}
usepackage{pgfplots}
%usepackage{tikz}
%usetikzlibrary{calc}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot[domain=0:360,data cs=polar, samples=200,
line width=0.7pt, red] (x,{1/(sqrt(0.3-0.2*cos(x)*cos(x)))});
end{axis}
end{tikzpicture}
end{document}
edited yesterday
answered 2 days ago
nidhin
2,714926
2,714926
add a comment |
add a comment |
up vote
4
down vote
These plotting programs are typically for plotting functions, which an ellipse isn't. Besides breaking the relation into two functions, as you've done, it's also possible (and in fact works better to avoid needing so many sample points) to define the ellipse as parametric equations; see the section on converting ellipses. You have to know that deg(x) is needed for syntax to get radians and the domain has to cover a range of 2pi; I've got it going from -pi to pi but 0 to 2pi also works. To make sure less points are needed I extended to -3.4 to 3.4
documentclass{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot [domain=-pi:pi,samples=200,red,line width=0.7pt]({3*sin(deg(x))}, {sqrt(3)*cos(deg(x))});
end{axis}
end{tikzpicture}
end{document}
This is the result running in Gummi.
- a single addplot was used
- the graph renders well everywhere
- the sample size is much smaller
EDIT: code modified in response to marmot's comments below.
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps usedomain=-pi:pi
and it is not necessary to loadtikz
afterpgfplots
.
– marmot
yesterday
Good point abouttikz
afterpgfplots
; I also don't need thecalc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.
– DJP
yesterday
add a comment |
up vote
4
down vote
These plotting programs are typically for plotting functions, which an ellipse isn't. Besides breaking the relation into two functions, as you've done, it's also possible (and in fact works better to avoid needing so many sample points) to define the ellipse as parametric equations; see the section on converting ellipses. You have to know that deg(x) is needed for syntax to get radians and the domain has to cover a range of 2pi; I've got it going from -pi to pi but 0 to 2pi also works. To make sure less points are needed I extended to -3.4 to 3.4
documentclass{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot [domain=-pi:pi,samples=200,red,line width=0.7pt]({3*sin(deg(x))}, {sqrt(3)*cos(deg(x))});
end{axis}
end{tikzpicture}
end{document}
This is the result running in Gummi.
- a single addplot was used
- the graph renders well everywhere
- the sample size is much smaller
EDIT: code modified in response to marmot's comments below.
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps usedomain=-pi:pi
and it is not necessary to loadtikz
afterpgfplots
.
– marmot
yesterday
Good point abouttikz
afterpgfplots
; I also don't need thecalc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.
– DJP
yesterday
add a comment |
up vote
4
down vote
up vote
4
down vote
These plotting programs are typically for plotting functions, which an ellipse isn't. Besides breaking the relation into two functions, as you've done, it's also possible (and in fact works better to avoid needing so many sample points) to define the ellipse as parametric equations; see the section on converting ellipses. You have to know that deg(x) is needed for syntax to get radians and the domain has to cover a range of 2pi; I've got it going from -pi to pi but 0 to 2pi also works. To make sure less points are needed I extended to -3.4 to 3.4
documentclass{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot [domain=-pi:pi,samples=200,red,line width=0.7pt]({3*sin(deg(x))}, {sqrt(3)*cos(deg(x))});
end{axis}
end{tikzpicture}
end{document}
This is the result running in Gummi.
- a single addplot was used
- the graph renders well everywhere
- the sample size is much smaller
EDIT: code modified in response to marmot's comments below.
These plotting programs are typically for plotting functions, which an ellipse isn't. Besides breaking the relation into two functions, as you've done, it's also possible (and in fact works better to avoid needing so many sample points) to define the ellipse as parametric equations; see the section on converting ellipses. You have to know that deg(x) is needed for syntax to get radians and the domain has to cover a range of 2pi; I've got it going from -pi to pi but 0 to 2pi also works. To make sure less points are needed I extended to -3.4 to 3.4
documentclass{standalone}
usepackage{pgfplots}
begin{document}
begin{tikzpicture}
begin{axis}[
xmin=-5, xmax=5,
grid=both,
axis lines=middle,
minor tick num=9,
axis line style={latex-latex},
ticklabel style={font=tiny},
axis equal
]
addplot [domain=-pi:pi,samples=200,red,line width=0.7pt]({3*sin(deg(x))}, {sqrt(3)*cos(deg(x))});
end{axis}
end{tikzpicture}
end{document}
This is the result running in Gummi.
- a single addplot was used
- the graph renders well everywhere
- the sample size is much smaller
EDIT: code modified in response to marmot's comments below.
edited yesterday
answered 2 days ago
DJP
7,02421629
7,02421629
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps usedomain=-pi:pi
and it is not necessary to loadtikz
afterpgfplots
.
– marmot
yesterday
Good point abouttikz
afterpgfplots
; I also don't need thecalc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.
– DJP
yesterday
add a comment |
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps usedomain=-pi:pi
and it is not necessary to loadtikz
afterpgfplots
.
– marmot
yesterday
Good point abouttikz
afterpgfplots
; I also don't need thecalc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.
– DJP
yesterday
Thank you very much!
– Gregor Perčič
2 days ago
Thank you very much!
– Gregor Perčič
2 days ago
Perhaps use
domain=-pi:pi
and it is not necessary to load tikz
after pgfplots
.– marmot
yesterday
Perhaps use
domain=-pi:pi
and it is not necessary to load tikz
after pgfplots
.– marmot
yesterday
Good point about
tikz
after pgfplots
; I also don't need the calc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.– DJP
yesterday
Good point about
tikz
after pgfplots
; I also don't need the calc
library. I've changed domain to -pi:pi but not sure what happened yesterday when using a numerical approximation for pi didn't work well. Maybe I mistyped the decimal.– DJP
yesterday
add a comment |
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Another option is tex.stackexchange.com/questions/18359/…
– Torbjørn T.
2 days ago