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	Latex source file: /tmp/Slides/Art.tex
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001: \documentclass[tikz,dvipsnames]{standalone}
002: %%% Original latex doc: /usr/local/Slides/2_Palestras/2023/01_PyTikZ/03_TikZ/02_GeoAx/07_Examples/04_Circle/Art.tikz.tex
003: 
004: 
005: %%!
006: %%! Preamble located by /usr/lib/cgi-bin/tikz2png
007: \input{/usr/local/Slides/2_Palestras/2023/01_PyTikZ/03_TikZ/PreAmble.tikz.tex}
008: %%!
009: 
010: 
011: \newcommand{\Path}{/usr/local/Slides/2_Palestras/2023/01_PyTikZ/03_TikZ/02_GeoAx/07_Examples/04_Circle}
012: \newcommand{\TiKZPath}{/usr/local/tikz}
013: 
014: %%!
015: 
016: 
017: \begin{document}
018: \begin{tikzpicture}%[trig format=rad]
019: %Angles of P and Q
020: \pgfmathparse{220} \let\alphap\pgfmathresult;
021: \pgfmathparse{290}  \let\alphaq\pgfmathresult;
022: 
023: 
024: \pgfmathparse{0.2} \let\tn\pgfmathresult;
025: \pgfmathparse{0.85}  \let\tm\pgfmathresult;
026: 
027: %Center of circle
028: \coordinate (O) at (0,0);
029: 
030: %Radius of circle
031: \pgfmathparse{2.5} \let\r\pgfmathresult;
032: 
033: %Main circle
034: \draw [name path=c](O) circle(\r);
035: 
036: %First
037: \input{Chord.tikz}
038: 
039: \coordinate (P1) at (P);
040: \coordinate (Q1) at (Q);
041: \coordinate (R1) at (R);
042: 
043: \draw [name path=pq1]
044:    (P)
045:    --
046:    ($(P)!0.9!(Q)$) node [above] { $r$ }
047:    --
048:    (Q)
049:    ;
050:    
051: \draw ($(P)!0!(R)$) -- ($(P)!1.2!(R)$);
052: \draw ($(Q)!0!(R)$) -- ($(Q)!1.2!(R)$);
053: 
054: 
055: %Second
056: %Angles of P and Q
057: \pgfmathparse{50} \let\alphap\pgfmathresult;
058: \pgfmathparse{150}  \let\alphaq\pgfmathresult;
059: 
060: \input{10/B/05/05.2.Cord.tikz}
061: 
062: \draw [name path=pq2]
063:    (P)
064:    --
065:    ($(P)!0.1!(Q)$) node [below] { $s$ }
066:    --
067:    (Q)
068:    ;
069: 
070: 
071: 
072: \coordinate (P2) at (P);
073: \coordinate (Q2) at (Q);
074: \coordinate (R2) at (R);
075: 
076: 
077: \draw [name path=r12](R1) -- (R2);
078: 
079: 
080: \path [name intersections={of=pq1 and r12,by=C1}];
081: \path [name intersections={of=pq2 and r12,by=C2}];
082: 
083: \foreach \P in {R1,R2,C1,C2}
084: {
085:    \filldraw (\P) circle(1pt);
086: }
087: 
088: 
089: \coordinate (M) at ($(P)!\tm!(Q)$);
090: \coordinate (N) at ($(P)!\tn!(Q)$);
091: 
092: \draw [name path=rm,color=white] (R1) -- ($(R1)!1.5!(M)$);
093: \draw [name path=rn,color=white] (R1) -- ($(R1)!1.5!(N)$);
094: 
095: \draw ($(P)!0!(R)$) -- ($(P)!1.2!(R)$);
096: \draw ($(Q)!0!(R)$) -- ($(Q)!1.2!(R)$);
097: 
098: \path [name intersections={of=pq1 and rm,by=M1}];
099: \path [name intersections={of=pq1 and rn,by=N1}];
100: 
101: 
102: 
103: \path [name intersections={of=c and rm,by=M2}];
104: \path [name intersections={of=c and rn,by=N2}];
105: 
106: 
107: \draw (R1) -- (M2);
108: \draw (R1) -- (N2);
109: 
110: \coordinate (RR) at ($(P1)!1.5!(R1)$);
111: \tkzLabelAngle[pos=0.4](RR,R1,Q1) {$F$};
112: 
113: 
114: 
115: %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
116: \coordinate (RR) at ($(Q2)!1.5!(R2)$);
117: \tkzLabelAngle[pos=0.35](P2,R2,RR) {$F'$};
118: 
119: %Position texts for C2, M and N using label angle.
120: \tkzLabelAngle[pos=0.35](R2,C2,P2) {$C$};
121: \filldraw (C2) circle(1pt);
122: 
123: 
124: \tkzLabelAngle[pos=-0.25](N2,N,C2) {$N'$};
125: \filldraw (N) circle(1pt);
126: 
127: \tkzLabelAngle[pos=0.4](M2,M,C2) {$M'$};
128: \filldraw (M) circle(1pt);
129: 
130: 
131: %Position texts for C1, M1 and N1 using label angle.
132: \tkzLabelAngle[pos=0.25](Q1,C1,C2) {$D$};
133: \filldraw (C1) circle(1pt);
134: 
135: 
136: \tkzLabelAngle[pos=0.45](P1,M1,M) {$M$};
137: \filldraw (M1) circle(1pt);
138: 
139: \tkzLabelAngle[pos=0.45](Q1,N1,N) {$N$};
140: \filldraw (N1) circle(1pt);
141: 
142: \filldraw[color=white] (P1) circle(2pt);
143: \draw (P1) circle(2pt) node [left] {$P$};
144: 
145: \filldraw[color=white] (Q1) circle(2pt);
146: \draw (Q1) circle(2pt) node [below] {$Q$};
147: 
148: 
149: \filldraw[color=white] (P2) circle(2pt);
150: \draw (P2) circle(2pt) node [right,] {$P'$};
151: 
152: \filldraw[color=white] (Q2) circle(2pt);
153: \draw (Q2) circle(2pt) node [left] {$Q'$};
154: 
155: 
156: \end{tikzpicture}
157: \end{document}
158: 
#############################
