Drawing a curve tangent to a line
I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.
In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?
MWE
documentclass[border=2pt,tikz]{standalone}
begin{document}
begin{tikzpicture}
foreach i in {1,2,3,4}{
draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
fill(i)circle[radius=2pt]node[below left]{pt i};
draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
}
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
tikz-pgf
asked 3 hours ago
Herr K.Herr K.
14k43483
add a comment |
I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.
In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?
MWE
documentclass[border=2pt,tikz]{standalone}
begin{document}
begin{tikzpicture}
foreach i in {1,2,3,4}{
draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
fill(i)circle[radius=2pt]node[below left]{pt i};
draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
}
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
tikz-pgf
asked 3 hours ago
Herr K.Herr K.
14k43483
add a comment |
I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.
In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?
MWE
documentclass[border=2pt,tikz]{standalone}
begin{document}
begin{tikzpicture}
foreach i in {1,2,3,4}{
draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
fill(i)circle[radius=2pt]node[below left]{pt i};
draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
}
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
tikz-pgf
asked 3 hours ago
Herr K.Herr K.
14k43483
I'd like to draw a set of curves, each tangent to a different point on a given line. The requirement is that the curves are convex and downward sloping.
In the following MWE, I use the to[out=<x>,in=<y>] operation to manually adjust the slope of the curves so that they appear to be tangent at the desired point. This requires a lot of trial-and-errors and the result is not ideal. Is there a better way to draw such curves?
MWE
documentclass[border=2pt,tikz]{standalone}
begin{document}
begin{tikzpicture}
foreach i in {1,2,3,4}{
draw[thick](0,4.5)--(7,0)coordinate[pos=i/5](i);
fill(i)circle[radius=2pt]node[below left]{pt i};
draw[red](i)to[out=140,in=-80]++(-1,1.5) (i)to[out=-25,in=170]++(1.25,-.4);
}
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
tikz-pgf
tikz-pgf
asked 3 hours ago
Herr K.Herr K.
14k43483
asked 3 hours ago
Herr K.Herr K.
14k43483
asked 3 hours ago
Herr K.Herr K.
14k43483
asked 3 hours ago
Herr K.Herr K.
14k43483
asked 3 hours ago
Herr K.Herr K.
14k43483
14k43483
add a comment |
add a comment |
1 Answer
1
active
oldest
votes
You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).
documentclass[border=2pt,tikz]{standalone}
usetikzlibrary{decorations.markings}
begin{document}
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
decoration={markings,mark=at position #1 with
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
touching/.style={red}]
draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
answered 3 hours ago
marmotmarmot
100k4116223
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
add a comment |
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1 Answer
1
active
oldest
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1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).
documentclass[border=2pt,tikz]{standalone}
usetikzlibrary{decorations.markings}
begin{document}
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
decoration={markings,mark=at position #1 with
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
touching/.style={red}]
draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
answered 3 hours ago
marmotmarmot
100k4116223
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
add a comment |
You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).
documentclass[border=2pt,tikz]{standalone}
usetikzlibrary{decorations.markings}
begin{document}
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
decoration={markings,mark=at position #1 with
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
touching/.style={red}]
draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
answered 3 hours ago
marmotmarmot
100k4116223
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
add a comment |
You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).
documentclass[border=2pt,tikz]{standalone}
usetikzlibrary{decorations.markings}
begin{document}
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
decoration={markings,mark=at position #1 with
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
touching/.style={red}]
draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
answered 3 hours ago
marmotmarmot
100k4116223
You could use decorations.marking, which transforms you automatically in tangent space. Then you just need to draw a curve which has slope 0 at (0,0).
documentclass[border=2pt,tikz]{standalone}
usetikzlibrary{decorations.markings}
begin{document}
begin{tikzpicture}[touching curve at/.style={postaction=decorate,
decoration={markings,mark=at position #1 with
{draw[touching] (-1,0.5) to[out=-45,in=180] (0,0) to[out=0,in=-135] (1,0.5);}}},
touching/.style={red}]
draw[thick,touching curve at/.list={1/5,2/5,3/5,4/5}](0,4.5)--(7,0);
draw[<->](0,5)node[left]{$y$}--(0,0)--(8,0)node[below]{$x$};
end{tikzpicture}
end{document}
answered 3 hours ago
marmotmarmot
100k4116223
answered 3 hours ago
marmotmarmot
100k4116223
answered 3 hours ago
marmotmarmot
100k4116223
answered 3 hours ago
marmotmarmot
100k4116223
100k4116223
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
add a comment |
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
2
2
Awesome! Thank you very much!
– Herr K.
3 hours ago
Awesome! Thank you very much!
– Herr K.
3 hours ago
add a comment |
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