I would like to modify the code below so that

  1. Can I indicate the counterclockwise directions with arrow

-- from O to B -- from B to A -- from A to O

Also, 2. Can we indicate theta_1 and theta_2 starting from x-axis to OB and OA as in the picture attached.enter image description here

  1. How can I change the thickness of the curves?

Thanks a bunch for your help.

\makeatletter % https://tex.stackexchange.com/a/127045/121799
\tikzset{use path/.code=\tikz@addmode{\pgfsyssoftpath@setcurrentpath#1}}


\draw[latex-latex] (0,4) node[left]{$y$} -- (0,0) coordinate[label=below:$O$](O) -- (5,0) node[below]{$x$};
\draw[save path=\pathA,name path=A](0,0) -- (50:4) coordinate[label=above:$A$](A) 
to[out=0,in=130] ++(0.7,-0.5) coordinate (aux)
to[out=-50,in=90] ++(0.7,-0.5) coordinate[label=right:$B$] (B)
-- (B|-O)
\draw[dashed] (A) -- (A-|O) coordinate[label=left:$E$] (E)
(B) -- (B|-O) coordinate[label=below:$C$] (C);
\draw[name path=BF,dashed] (B) -- (B-|O) coordinate[label=left:$F$] (F);
\draw[name path=AD,dashed](A) -- (A|-O) coordinate[label=below:$D$] (D);
\fill[name intersections={of=A and BF,by=H}] (H) coordinate[label=above left:$H$]
\draw[name path=BO] (B) -- (O);
\fill[name intersections={of=BO and AD,by={J}}] (J) coordinate[label=below left:$J$]
\fill[name intersections={of=BF and AD,by={G}}] (G) coordinate[label=above right:$G$]
\draw[latex-] (aux) to[out=50,in=180] ++(0.5,0.5) node[right]{$r=f(\theta)$};
\draw[latex-] (B) to[out=0,in=130] ++(0.3,+0.5) node[right]{$\theta=\theta_1$};
\draw[latex-] (A) to[out=0,in=130] ++(0.3,+0.5) node[right]{$\theta=\theta_2$};

%\clip [use path=\pathA];
%\fill[yellow,opacity=0.2] ([yshift=5pt]A) rectangle (B|-F);



Using decorantions.markings, arrows.meta and calc libraries, then contour package to avoid text-line crossing, and get the desired result.


enter image description here



        %Environment config
        %Environment Styles
                    mark=at position #1 with {
                        \fill(0:3.5pt) -- (120:3.5pt) -- (240:3.5pt);

    (0,4) node[left]{$y$} 
        -- (0,0) coordinate[label=below:$O$](O)
        -- (5,0) node[below]{$x$};

    \path[save path=\pathA,name path=A] %  Change to path to redraw the lines with certain style.
        -- (50:4) coordinate[label=above:$A$](A) 
        to[out=0,in=130] ++(0.7,-0.5) coordinate (aux)
        to[out=-50,in=90] ++(0.7,-0.5) coordinate[label={[inner sep=7pt]right:$B$}] (B)
        -- (B|-O)
        -- (A-|O) coordinate[label=left:$E$](E)
        -- (B|-O) coordinate[label=below:$C$] (C);

    \draw[name path=BF,dashed]
        -- (B-|O) coordinate[label=left:$F$] (F);
    \draw[name path=AD,dashed](
        -- (A|-O) coordinate[label=below:$D$] (D);

    \fill[name intersections={of=A and BF,by=H}](H)coordinate[label=above left:$H$] circle (1.5pt);
    \path[name path=BO] (B) -- (O);%  Change to path to redraw the lines with certain style.
    \fill[name intersections={of=BO and AD,by={J}}] (J) coordinate[label=below left:$J$]circle(1.5pt);
    \fill[name intersections={of=BF and AD,by={G}}] (G) coordinate[label=above right:$G$]circle(1.5pt);
    \draw[<-] (aux) to[out=50,in=180] ++(0.5,0.5) node[right]{$r=f(\theta)$};
    \draw[<-] (B) to[out=0,out looseness=1.5,in=130] ++(0.3,+0.5) node[right]{$\theta=\theta_1$};
    \draw[<-] (A) to[out=0,out looseness=1.5,in=130] ++(0.3,+0.5) node[right]{$\theta=\theta_2$};

    %Aditional drawings
    \begin{scope}[on background layer]
        \draw[-Triangle,Col2,line width=1.2pt]
            arc (0:50:2) node [pos=0.85,anchor=south west,color=Col3]{\small $\theta=\theta_2$};
        \draw[-Triangle,Col1,line width=1.2pt] 
            let \p1 = (B), %To access cartesian coordinates x, and y.
                 \n1 = {atan2(\y1,\x1)} % Get the angle.
            in (0:1.5) 
                arc (0:\n1:1.5)node [pos=0.25,anchor=south west,color=Col3]{\contour{white}{\small $\theta=\theta_1$}}; % Draw the arrow.
        \draw[InLineArrow=0.43,blue,line width=1.2pt]
            -- (O);
        \draw[InLineArrow=0.8,blue,line width=1.2pt]
            -- (B);
            line width=1.2pt,
            %line width=0.75pt, % uncoment to get the result as in your example.
            to [out=90,in=-50] (aux)
            to[out=130,in=0] (A);


  • Ok thanks, I trusted since it did not cause any error in my compilation and also I did not remove it because I thought it affected the code of the intersections without checking it, how lazy I am... – J Leon V. Aug 19 '18 at 15:54
  • Thanks! I really like the outline trick! (But I might have used bent arrows, yet this might be considered overkill.) – user121799 Aug 19 '18 at 22:54

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