[Tex/LaTex] Drawing arcs in tikz-3dplot

tikz-3dplot

In my post here My document cannot draw angles, I replaced the drawing of angles by

\tdplotdrawarc[color=blue]{(-0.25,-0.2,0)}{-0.3}{0}%
                     {55}{anchor=south east,color=black}{$\theta$}

This gives me a figure as attached

![![/home/zmumba/Latex_Docs/Latex_Manuals/angles.jpg][1]][1]

Going through the tikz-3dplot manual it is difficult to figure out what the numbers mean, especially when one is trying to have something done quickly.
I would appreciate if someone can quide me on how to modify the code above to have angles theta from the x-axis to P, phi from y-axis to P and psi from z-axis to P.

Here is the full code:

    \documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows.meta, angles, quotes, decorations.pathreplacing,
datavisualization}
\begin{document}
\tdplotsetmaincoords{60}{110}
\begin{center}
        \begin{tikzpicture}[>=latex,tdplot_main_coords,font=
\footnotesize,scale=1.5]
\begin{scope}[remember picture,rotate=45]
\coordinate (O) at (0,0);
\coordinate (R) at (2.5,2.5,0);
\coordinate (V) at (2.5,2.5,3);
 \datavisualization [
school book axes,
all axes={ticks=few}];
       \path (V) -- (R) coordinate[pos=.05](tl2);
\end{scope}

         \draw[thick,->] (0,0,0)coordinate (O) -- (3,0,0) coordinate (X)
            node[anchor=north east]{$x$};
    \draw[thick,->] (0,0,0) -- (0,3,0) coordinate (Y) node[anchor=north
            west]{$y$};
    \draw[thick,->] (0,0,0) -- (0,0,3) coordinate (Z) node[anchor=south]{$z$};
    \draw[thick,->,color=red,opacity=0.5] (0,0,0) -- (2.5,2.5,3) coordinate (V)
            node[ right] {$P(\alpha,\beta,\gamma)$};

    \draw[dashed,magenta!50] (2.5,2.5,3) -- (2.5,2.5,0) -- (0,0,0);
    \draw[thick,blue!50] (2,0,0) -- (2.5,2.5,0);
    \draw[thick,blue!50] (2.5,2.5,0) -- (0,2,0);
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (2,0,0)node [left=1ex] {$Q(\alpha,0,0)$} node[midway,left]{$\color{black}\alpha$};
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (0,2,0)node [above] {$Q^{'}(0,\beta,0)$} node[midway,above]{$\color{black}\beta$};
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (0,0,2)node [left] {$Q(0,0,\gamma)$};
    \draw[dashed,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (2.5,2.5,0)node  (b1)[right] {$R(\alpha,\beta,0)$};
    \draw[dashed,red!80!black,-{Triangle[fill=white]}] (2.5,2.5,3) --
            (2.5,2.5,0)node [left,yshift=2.75cm]{$\color{black}\gamma$};
             \tdplotdrawarc[color=blue]{(-0.25,-0.2,0)}{-0.3}{0}%
                     {55}{anchor=south east,color=black}{$\theta$}
             \tdplotdrawarc[color=blue]{(0,0.2,0)}{0.2}{0}%
                     {55}{anchor=south west,color=black}{$\phi$}
         \tdplotdrawarc[color=blue]{(0,0,0.5)}{0.2}{0}%
                     {55}{anchor=south west,color=black}{$\psi$}
        \end{tikzpicture}
    \end{center}
\end{document}

Here's another try

This is what I have achieved with the following modifications

\tdplotdrawarc[thick,color=blue]{(.25,.15,.15)}{-0.60}{2}%
                     {175}{anchor=east,color=black}{$\color{blue}\theta$}
\tdplotdrawarc[thick,color=red]{(0.0,0.05,.1)}{-0.35}{1.5}%
                     {-95}{anchor=south west,color=black}{$\color{red}\phi$}
\tdplotdrawarc[thick,color=magenta]{(-0.1,-0.15,0.25)}{-0.45}{2.0}%
                     {-30}{anchor=south,color=magenta}{$\psi$}

This is the full code which gives error

\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows.meta, angles, quotes, decorations.pathreplacing,
 datavisualization}

\begin{document}
    \tdplotsetmaincoords{60}{110}
        \begin{tikzpicture}[>=latex,tdplot_main_coords,font=
\footnotesize,scale=1.5]
             \draw[thick,->] (0,0,0)coordinate (O) -- (3,0,0) coordinate (X)
            node[anchor=north east]{$x$};
    \draw[thick,->] (0,0,0) -- (0,3,0) coordinate (Y) node[anchor=north
            west]{$y$};
    \draw[thick,->] (0,0,0) -- (0,0,3) coordinate (Z) node[anchor=south]{$z$};
    \draw[thick,->,color=red,opacity=0.5] (0,0,0) -- (2.5,2.5,3) coordinate (V)
            node[ right] {$P(\alpha,\beta,\gamma)$};
        \draw[dashed,magenta!50] (2.5,2.5,3) -- (2.5,2.5,0) -- (0,0,0);
    \draw[thick,blue!50] (2,0,0) -- (2.5,2.5,0);
    \draw[thick,blue!50] (2.5,2.5,0) -- (0,2,0);
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (2,0,0)node [left=1ex] {$Q(\alpha,0,0)$} node[midway,left]{$\color{black}\alpha$};
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (0,2,0)node [above] {$Q^{'}(0,\beta,0)$} node[midway,above]{$\color{black}\beta$};
    \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (0,0,2)node [left] {$Q(0,0,\gamma)$};
    \draw[dashed,red!80!black,-{Triangle[fill=white]}] (0,0,0) --
            (2.5,2.5,0)node  (b1)[right] {$R(\alpha,\beta,0)$};
    \draw[dashed,red!80!black,-{Triangle[fill=white]}] (2.5,2.5,3) --
            (2.5,2.5,0)node [left,yshift=2.75cm]{$\color{black}\gamma$};
    \path pic[draw, angle radius=5mm,"$\theta$",angle
            eccentricity=1,anchor=north east,inner sep=5pt] {angle
             = V--O--X};
    \path pic[draw, angle radius=7mm,"$\phi$",angle
            eccentricity=1.3,] {angle
             = Y--O--V};
    \path pic[draw, angle radius=8mm,"$\psi$",angle
            eccentricity=1.5] {angle
             = V--O--Z};
        \end{tikzpicture}
\end{document}

This works but in my documnt it gives an error.
Part of my preambles is

\usepackage[dutch,english]{babel}

If I put english,dutch my document is in dutch.

\usepackage{tikz-3dplot}
\usetikzlibrary{shapes.geometric, decorations.pathreplacing, matrix, angles, quotes, arrows, arrows.meta, datavisualization}

I hope this provides a basis to identify the problem to help me.

Best Answer

Is this what you want?

If so, what's the problem using the angles library? It seems to work for me:

\documentclass[tikz,multi,border=10pt]{standalone}
\usepackage{tikz-3dplot}
\usetikzlibrary{arrows.meta,angles,quotes,calc}
\begin{document}
\tdplotsetmaincoords{60}{110}
\begin{tikzpicture}[>=latex,tdplot_main_coords,font=\footnotesize]%,scale=1.5]
  \coordinate (0) at (0,0,0);
  \coordinate (R) at (2.5,2.5,0);
  \coordinate (V) at (2.5,2.5,3);
  \path (V) -- (R) coordinate [pos=.05] (tl2);
  \draw[thick,->] (0,0,0) coordinate (O) -- (3,0,0) coordinate (X) node[anchor=north east]{$x$};
  \draw[thick,->] (0,0,0) -- (0,3,0) coordinate (Y) node[anchor=north west]{$y$};
  \draw[thick,->] (0,0,0) -- (0,0,3) coordinate (Z) node[anchor=south]{$z$};
  \draw[thick,->,color=red,opacity=0.5] (0,0,0) -- (2.5,2.5,3) coordinate (V) node[ right] {$P(\alpha,\beta,\gamma)$};
  \draw[dashed,magenta!50] (2.5,2.5,3) -- (2.5,2.5,0) -- (0,0,0);
  \draw[thick,blue!50] (2,0,0) -- (2.5,2.5,0);
  \draw[thick,blue!50] (2.5,2.5,0) -- (0,2,0);
  \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) -- (2,0,0)node [left=1ex] {$Q(\alpha,0,0)$} node[midway,left]{$\color{black}\alpha$};
  \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) -- (0,2,0)node [above] {$Q^{'}(0,\beta,0)$} node[midway,above]{$\color{black}\beta$};
  \draw[very thick,red!80!black,-{Triangle[fill=white]}] (0,0,0) -- (0,0,2)node [left] {$Q(0,0,\gamma)$};
  \draw[dashed,red!80!black,-{Triangle[fill=white]}] (0,0,0) -- (2.5,2.5,0)node  (b1)[right] {$R(\alpha,\beta,0)$};
  \draw[dashed,red!80!black,-{Triangle[fill=white]}] (2.5,2.5,3) -- (2.5,2.5,0)node [left,yshift=2.75cm]{$\color{black}\gamma$};
  \pic [blue, draw, thick, "$\theta$", angle radius=4mm] {angle = V--O--X };
  \pic [red, draw, thick, "$\phi$", angle eccentricity=1.3] {angle = Y--O--V };
  \pic [magenta, draw, thick, "$\psi$", angle radius=6mm, angle eccentricity=1.3] {angle = V--O--Z };
\end{tikzpicture}
\end{document}

The output

The code

\documentclass[12pt,tikz]{standalone}
\usepackage{tikz}
\usepackage{tikz-3dplot}

\begin{document}
\tdplotsetmaincoords{60}{110}
%
\pgfmathsetmacro{\rvec}{.8}
\pgfmathsetmacro{\thetavec}{30}
\pgfmathsetmacro{\phivec}{60}
%
\begin{tikzpicture}[scale=5,tdplot_main_coords]
    \coordinate (O) at (0,0,0);
    \begin{scope}[thick,->]
      \def\l{.8}
      \draw (O) -- (\l,0,0) node[pos=1.15]{$x_{1}$} ; 
      \draw (O) -- (0,\l,0) node[pos=1.1]{$x_{2}$} ; 
      \draw (O) -- (0,0,\l) node[pos=1.05]{$x_{3}$};
    \end{scope}
    \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
    \draw[-stealth,color=red] (O) -- (P) node[pos=1.1]{$\bf{e_{\sigma}}$};
    \tdplotdrawarc{(O)}{0.2}{0}{\phivec}{anchor=north}{$\phi$}
    \tdplotsetthetaplanecoords{\phivec}
    \tdplotdrawarc[tdplot_rotated_coords,blue]
        {(0,0,0)}{0.5}{\thetavec}{90}{anchor=south west}{$\theta$}

    \draw[dashed, color=red] (O) -- (Pxy) -- (P) ;
    \tdplotsetcoord{Pp}{.5}{90}{\phivec}
    \draw[blue!30] (Pxy) -- (Pp);
\end{tikzpicture}
\end{document}

[Tex/LaTex] 3-d Example Using tikz-3dplot

I included some libraries and commented out stuff that you may need if you want to improve the outcome.

\documentclass{article}     
\usepackage{tikz,tikz-3dplot}    
\usetikzlibrary{intersections,fadings,decorations.pathreplacing} %  interesection is not needed
%\usetikzlibrary{shadows.blur}

\begin{document}

\tdplotsetmaincoords{75}{110}
\begin{tikzpicture}[tdplot_main_coords,scale=3.14]

% restore these if you want to see where the axes point
\draw[thick,->] (0,0,0) coordinate(O) -- (1.5,0,0) node[anchor=north east] (x) {$x$};
\draw[thick,->] (0,0,0) -- (0,1.5,0) node[anchor=north west] (y) {$y$};
\draw[thick,->] (0,0,0) -- (0,0,2.5) node[anchor=south] (z) {$z$};
\begin{scope}[xshift=0mm,rotate=-10]
% \tikzset{% https://tex.stackexchange.com/a/328561/121799
%     render blur shadow/.prefix code={
%       \colorlet{black}{orange}
%     }
%   }
\tikzfading[name=fade right,
            left color=transparent!00,
            right color=transparent!60] ;
\filldraw[orange,path fading=fade right,fill opacity=0.5, 
% blur shadow={shadow blur
% steps=10,shadow xshift=0pt,shadow yshift=0pt,shadow scale=1.15,orange}
]  plot[variable=\x,samples=180,domain=-90:270]
({1.2*cos(\x)},{sin(\x)},{0});
% \filldraw[white,path fading=fade right,overlay] (-1.5,-1.3,1) --  (1.5,-1.3,1) -- 
% (1.5,1.3,1) -- (-1.5,1.3,1) -- cycle;
\end{scope}

\coordinate[label={[name=Plabel,xshift=1.5cm,yshift=1cm]above right:{$(x,y,f(x,y))$}}] (P) at (0.2,0.5,1.2);
\draw[-latex,shorten >=2.5pt] (Plabel) --(P);
\fill (P) circle (1pt);
\coordinate[label=below:{$(x,y,0)$}] (Q) at (0.2,0.5,0);
\fill (Q) circle (1pt);
\draw[thick,] (P) -- (Q);
\draw[thick,decoration={brace,raise=2.5pt},decorate] (P) -- (Q)
node[midway,right=2mm]{$f(x,y)$};


\draw[fill=blue,fill opacity=0.2,name path=back,->]
plot[variable=\x,samples=180,domain=50:270]
({1.2*cos(\x)},{sin(\x)},{1.2+0.4*cos(2*\x)}) to[out=30,in=160] cycle;
\draw[fill=blue,fill opacity=0.2,name path=front]
plot[variable=\x,samples=180,domain=-90:50]
({1.2*cos(\x)},{sin(\x)},{1.2+0.4*cos(2*\x)})
to[out=160,in=30] cycle; 


\end{tikzpicture}
\end{document}

Best Answer

Related Solutions

[Tex/LaTex] Question on drawing arcs

The output

The code

[Tex/LaTex] 3-d Example Using tikz-3dplot

Related Question