Life is a mystery to be lived.
Not a problem to be solved.
Søren Kierkegaard.
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LaTeX Listing: Diagrams.tex.
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Showing: /usr/local/Slides/1_Disciplines/4_Latex/05/01_Diagrams/Dia-09-22.tikz.tex:
TiKZ Listing: /usr/local/Slides/1_Disciplines/4_Latex/05/01_Diagrams/Dia-09-22.tikz.tex.
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\input{Dias.tikz}
\tikzstyle{myboxala} =
[
mybox,
text width=2.5cm
]
\tikzstyle{mybox1} =
[
mybox,
text width=6cm
]
\tikzstyle{mybox2} =
[
mybox,
text width=5cm
]
\begin{tikzpicture}
\tikzmath{\x=0.5;};
\tikzmath{\width=10;};
\tikzmath{\h=1.2;};
% %Vertical dotted lines
% \foreach \t in {-6.725,-6.45,-2,2,6.725}
% {
% \draw[dotted] (\t,-3) --++ (0,15);
% }
\node at ($(-\x,10*\h)$) [mybox1,left]
{Axioma de Congruência\\de Triângulos ($LAL$)};
\node at ($(\x,10*\h)$) [mybox1,right]
{Axioma de Separação do Plano};
\tikzmath{\dx=0.5;};
\tikzmath{\ddx=0.7;};
\node at ($(-2.2,9*\h)$) [mybox,left,text width=4cm]
{Teorema do\\Triângulo Isósceles};
\node at ($(0.2,9*\h)$) [mybox,text width=3.75cm]
{Axioma do Transferidor\\~};
\node at ($(2.5,9*\h)$) [mybox,right,text width=4.0cm ]
{Teorema da Semirreta do\\Interior de um Ângulo};
\node at ($(0.2,8*\h)$) [mybox,text width=3.75cm]
{Teorema do Ângulo Raso};
\node at ($(0,7*\h)$) [mybox ]
{Teorema dos Ângulos Alternos-internos};
\node at ($(0,6*\h)$) [mybox,text width=8.0cm]
{Teorema do Ângulo Externo};
\node at ($(-1.2,5*\h)$) [mybox2,left]
{Teorema do Triângulo Escaleno\\~};
\node at ($(-2.2,4*\h)$) [mybox2,left,text width=4cm]
{Teorema da Desigualdade\\ de um Triângulo};
\node at ($(0.25,5*\h)$) [mybox2,right]
{Teorema da Soma de dois Ângulos de um Triângulo};
\node at ($(0.25,4*\h)$) [mybox2,right]
{Teorema da Soma dos\\Ângulos de um Triângulo};
\node at ($(0.25,3*\h)$) [mybox2,right]
{Novo Teorema de Ângulo\\Externo};
\node at ($(0.15,2*\h)$) [mybox,text width=12.95cm ]
{Teorema de Desigualdade de dois Triângulos};
% \tikzmath{\x=5.65;};
\node at ($(-1.2,1*\h)$) [mybox2,left]
{Axioma do Transferidor};
\node at ($(-0.415,1*\h)$) [mybox,right]
{Transitividade de Congruência de Triângulos};
\node at ($(2.5,0*\h)$) [mybox,right,text width=4cm]
{Teorema dos Ângulos\\Alternos-internos};
\tikzmath{\x=-3.7;};
\tikzmath{\dx=3.75;};
\node at ($(\x,0)$) [myboxala,left]
{$ALA$};
\node at ($(\x+\dx,-1*0.75*\h)$) [myboxala,left]
{$LLL$};
\node at ($(\x+2*\dx,-2*0.75*\h)$) [myboxala,left]
{$LAA$};
\tikzmath{\x=-7;};
\tikzmath{\xx=-6.725;};
\tikzmath{\xxx=-6.45;};
\tikzmath{\xxxx=\xxx+\dx;};
\tikzmath{\xxxxx=\xxxx+\dx;};
\tikzmath{\xxxxxx=6;};
%Vertical lines, left to right
\draw ($(\x,-2*0.75*\h)$) -- ($(\x,10*\h)$);
\draw ($(\xx,2*\h)$) -- ($(\xx,9*\h)$);
\draw ($(\xx+2,5.4*\h)$) -- ($(\xx+2,8.6*\h)$);
\draw ($(-2,7.3*\h)$) -- ($(-2,9.6*\h)$);
\draw ($(-2,2.3*\h)$) -- ($(-2,4.6*\h)$);
\draw ($(-2,5.375*\h)$) -- ($(-2,5.675*\h)$);
\draw ($(0,8.4*\h)$) -- ($(0,8.65*\h)$);
\draw ($(0,7.3*\h)$) -- ($(0,7.6*\h)$);
\draw ($(0,6.3*\h)$) -- ($(0,6.65*\h)$);
\draw ($(2,5.4*\h)$) -- ($(2,5.65*\h)$);
\draw ($(2,4.4*\h)$) -- ($(2,4.6*\h)$);
\draw ($(2,3.4*\h)$) -- ($(2,3.6*\h)$);
\draw ($(2,-1.2*\h)$) -- ($(2,0.7*\h)$);
\draw ($(2+1,-1.2*\h)$) -- ($(2+1,-0.4*\h)$);
\draw ($(\xxxxxx,2.3*\h)$) -- ($(\xxxxxx,8.6*\h)$);
\draw ($(\xxxxxx-1,9.4*\h)$) -- ($(\xxxxxx-1,9.7*\h)$);
%Horisontal lines, top to bottom
\draw ($(\x,10*\h)$) -- ($(\xx,10*\h)$);
\draw ($(\x,-0*0.75*\h)$) -- ($(\xxx,-0*0.75*\h)$);
\draw ($(\x,-1*0.75*\h)$) -- ($(\xxxx,-1*0.75*\h)$);
\draw ($(\x,-2*0.75*\h)$) -- ($(\xxxxx,-2*0.75*\h)$);
\draw ($(\xx,2*\h)$) -- ($(\xxx,2*\h)$);
\draw ($(\xx,9*\h)$) -- ($(\xxx,9*\h)$);
%
%
%
% \tikzmath{\x=0.5;};
% \tikzmath{\dx=3;};
% \tikzmath{\dy=0.5;};
%
% \tikzmath{\y=0.1;};
%
%
% %leftmost vertical: Ax de congruencia to ALAs
% \tikzmath{\x=0.25;};
% \draw ($(\x,0*\h-3*\dy+\y)$) -- ($(\x,10*\h-1)$);
%
% %Ax de congruencia to angulos alternos
% \tikzmath{\x=3.7;};
% \draw ($(\x,8*\h-1.2)$) -- ($(\x,10*\h-1)$);
%
% %ALA, LLL e LAA
% \draw ($(0.25,0*\h-3*\dy+\y)$) -- ($(6.5,0*\h-3*\dy+\y)$);
% \draw ($(0.25,0*\h-2*\dy+\y)$) -- ($(3.5,0*\h-2*\dy+\y)$);
% \draw ($(0.25,0*\h-1*\dy+\y)$) -- ($(0.5,0*\h-1*\dy+\y)$);
%
% %2 leftmost vertical: isosceles to desigualdade
% \tikzmath{\x=0.65;};
% \draw ($(\x,2*\h)$) -- ($(\x,9*\h-1)$);
%
% %isosceles to escaleno
% \tikzmath{\x=1.25;};
% \draw ($(\x,5*\h)$) -- ($(\x,9*\h-1)$);
%
% %Ax de congruencia to isosceles
% \tikzmath{\x=1.75;};
% \draw ($(\x,10*\h-1)$) -- ($(\x,9*\h-0)$);
%
% %interior do angulo to angulo exterior
% \tikzmath{\x=9.0;};
% \draw ($(\x,6*\h)$) -- ($(\x,9*\h-1.4)$);
%
% %axioma de separacao to semirreta interior
% \draw ($(\x,9*\h-0)$) -- ($(\x,10*\h-0.8)$);
%
% %rightmost vertical: semirreta interior to desigualdade
% \tikzmath{\x=11;};
% \draw ($(\x,2*\h-0)$) -- ($(\x,8*\h-0.2)$);
%
% %Ax de transf to LLL vertical
% \tikzmath{\x=3.8;};
% \draw ($(\x,1*\h-0.75)$) -- ($(\x,0*\h-1*\dy)$);
%
% %Transitividade to LLL vertical
% \tikzmath{\x=5.25;};
% \draw ($(\x,1*\h-0.75)$) -- ($(\x,0*\h-1*\dy)$);
%
% %Transitividade to LAA vertical
% \tikzmath{\x=6.65;};
% \draw ($(\x,1*\h-0.75)$) -- ($(\x,0*\h-2*\dy)$);
%
% %Teorema alternos to LAA vertical
% \tikzmath{\x=8;};
% \draw ($(\x,0*\h-0.75)$) -- ($(\x,0*\h-2*\dy)$);
%
%
% %ax transferidor (top) to angulo raso
% \tikzmath{\x=5.75;};
% \tikzmath{\dy=0.75;};
% \draw ($(\x,8*\h)$) -- ($(\x,9*\h-\dy)$);
% %angulo raso to alternos
% \draw ($(\x,7*\h)$) -- ($(\x,8*\h-\dy)$);
% %alternos to externo
% \draw ($(\x,6*\h)$) -- ($(\x,7*\h-\dy)$);
%
% \tikzmath{\x=5.25;};
% %escaleno to angulo externo
% \draw ($(\x,5*\h)$) -- ($(\x,6*\h-\dy)$);
% %escaleno to desigualdade de dois triangulo
% \draw ($(\x,2*\h)$) -- ($(\x,5*\h-\dy)$);
%
%
% \tikzmath{\x=3.25;};
% %escaleno to desigualdade de um triangulo
% \draw ($(\x,4*\h)$) -- ($(\x,5*\h-\dy)$);
%
%
%
% \tikzmath{\x=8.25;};
% %angulo externo to soma de dois angulos
% \draw ($(\x,5*\h)$) -- ($(\x,6*\h-\dy)$);
% %soma de dois angulos to angulo externo
% \draw ($(\x,4*\h)$) -- ($(\x,5*\h-\dy-0.25)$);
% %angulo externo to novo teorema to
% \draw ($(\x,3*\h)$) -- ($(\x,4*\h-\dy-0.25)$);
\end{tikzpicture}
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