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Ole Peter Smith
Instituto de Matemática e Estatística
Universidade Federal de Goiás
http://www.olesmith.com.br

Taxist
A seriedade dos acontecimentos da minha época.
Me enche de esperança.
Karl Marx
< Ellipsis | Hyperbolas | Moulton >

Hyperbolas

Foci $A(x_a,y_a)$ and $B(x_b,y_b)$:
  • Center: $\frac{1}{2}( A+B)$.
  • $ \mathcal{E}_c = \{ P \in \mathcal{P}|~~ d(A,P)-d(B,P) = 2c \}, ~ c \in \mathbb{R} $
  • Triangular Inequality: \[ d(A,P) \leq d(A,B)+d(B,P) \] \[ d(B,P) \leq d(A,B)+d(B,P) \] Thus: \[ -d(A,B) \leq c \leq d(A,B) \]
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2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000167_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000168_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000169_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000170_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000171_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000172_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000173_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000174_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000175_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000176_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000177_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000178_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000179_0.svg
2_Palestras/2019/1_TiKZ/05_Axiomatic/10_Models/02_Taxist/06_Hyperbola/Figs/Fig-000180_0.svg
Generated: 31 Dec 1969, 20:59:59
181 of 181 images
Base Path: /usr/local/
Glob Path: @Figs/Fig-*_0.svg
TiKZ Listing: /usr/local/tikz/Taxist/Ellipse/Draw/Curves.tikz.tex. PDF   PNG   SVG   ZIP*   
%Draw the actual Taxist Ellipse


\definecolor{curve1}{rgb}{1,0.5,0}
\definecolor{curve2}{rgb}{0,0,1}

%Calculate color factor
\newcommand{\ColorRel}[2]{
  \tikzmath{\crel=int(round(#2/#1*100));};
}



\tikzmath{\N=10;};
\tikzmath{\C=\L;};
\tikzmath{\CC=2*\L;};
\tikzmath{\dC=(\CC-\C)/\N;};
\foreach \n in {0,1,...,\N}
{
     %Change color
     \ColorRel{\N}{\n}
     \tikzstyle{Taxist_Ellipse}=[color=curve1!\crel!curve2]
     
     \tikzmath{\c=\C+\n*\dC;};
   \input{/usr/local/tikz/Taxist/Ellipse/Draw/Curve.tikz}
}
< Ellipsis | Hyperbolas | Moulton >
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