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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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	Latex source file: /tmp/Slides/Fig.tex
	No of lines/chars: 100, 2560 chars
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001: \documentclass[tikz,dvipsnames]{standalone}
002: %%% Original latex doc: /usr/local/Slides/2_Palestras/2020/01_Latex_Friends/05/05_Plot/Fig.tikz.tex
003: 
004: 
005: %%!
006: %%! Preamble located by /usr/lib/cgi-bin/tikz2png
007: \input{/usr/local/Slides/PreAmble.tikz.tex}
008: %%!
009: 
010: 
011: \newcommand{\Path}{/usr/local/Slides/2_Palestras/2020/01_Latex_Friends/05/05_Plot}
012: \newcommand{\TiKZPath}{/usr/local/tikz}
013: 
014: %%!
015: 
016: 
017: 
018: \usepackage{tikz}
019: \usepackage{pgfplots}
020: 
021: \usetikzlibrary
022: {
023:    intersections,
024:    pgfplots.fillbetween
025: }
026: 
027: 
028: \begin{document}
029: \begin{tikzpicture}
030:    %Clipping area
031:    \pgfmathparse{7.5} \let\xr\pgfmathresult
032:    \pgfmathparse{4.5} \let\yt\pgfmathresult
033:    \pgfmathparse{-0.1} \let\xl\pgfmathresult
034:    \pgfmathparse{-0.1} \let\yb\pgfmathresult
035:    %Clip!
036:    \clip (\xl,\yb) rectangle (1.1*\xr,1.1*\yt);
037:    
038: 
039:    \pgfmathparse{1} \let\a\pgfmathresult
040:    \pgfmathparse{3.5} \let\b\pgfmathresult
041:    \pgfmathparse{1} \let\Alpha\pgfmathresult
042:    \pgfmathparse{4} \let\Beta\pgfmathresult
043: 
044:    \pgfmathparse{0.2} \let\YB\pgfmathresult
045:    \pgfmathparse{8} \let\YT\pgfmathresult
046:    
047:    \tikzstyle{curves}=[variable=\y,samples=50,domain=\YB:\YT]
048: 
049:    %xy=a
050:    \draw [color=blue,name path=a,curves] 
051:       plot ({\a/\y}, {\y});
052:    %xy=b
053:    \draw [color=violet,name path=b,curves]
054:       plot ({\b/\y}, {\y});
055: 
056:    %xy^3=\alpha
057:    \draw [color=orange,name path=alpha,curves]
058:       plot ({\Alpha/(\y*\y*\y)}, {\y});
059:       
060:    %xy^3=\beta
061:    \draw [color=magenta,name path=beta, curves] 
062:       plot ({\Beta/(\y*\y*\y)},  {\y});
063:       
064:    %Curve titles
065:    \tikzstyle{texts}=[right,font={\small}]
066: 
067:    \pgfmathparse{2.5} \let\x\pgfmathresult
068:    \pgfmathparse{2.5} \let\y\pgfmathresult
069:    \pgfmathparse{0.5} \let\dy\pgfmathresult
070:    \node[texts,color=orange]  at (\x,\y+0*\dy) {$\cdot~xy^3=\beta$};
071:    \node[texts,color=magenta] at (\x,\y+1*\dy) {$\cdot~xy^3=\alpha$};
072:    \node[texts,color=blue]    at (\x,\y+2*\dy) {$\cdot~yx=a$};
073:    \node[texts,color=violet]  at (\x,\y+3*\dy) {$\cdot~yx=b$};
074:    
075: 
076:    \tikzfillbetween[of=a and b]{blue, opacity=0.1};
077:    \tikzfillbetween[of=alpha and beta]{blue, opacity=0.1};
078: 
079:    %Intersections
080:    \foreach \t in {\a,\b} {
081:      \pgfmathparse{sqrt(\Alpha/\t)} \let\y\pgfmathresult;
082:      \pgfmathparse{sqrt(\t*\t*\t/\Alpha)}\let\x\pgfmathresult;
083:      \filldraw (\x,\y) circle(1pt);
084:    }
085:    
086:    %Intersections
087:    \foreach \t in {\a,\b} {
088:      \pgfmathparse{sqrt(\Beta/\t)} \let\y\pgfmathresult;
089:      \pgfmathparse{sqrt(\t*\t*\t/\Beta)}\let\x\pgfmathresult;
090:      \filldraw (\x,\y) circle(1pt);
091:    }
092:    
093:    %Coordinate system
094:    \draw [-latex] (\xl,0) -- (\xr,0) node [right] {$x$};
095:    \draw [-latex] (0,\yb) -- (0,\yt) node [above] {$y$};
096:    
097: \end{tikzpicture}
098: \end{document}
099: 
100: 
#############################