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authorNorbert Preining <norbert@preining.info>2023-12-04 03:01:04 +0000
committerNorbert Preining <norbert@preining.info>2023-12-04 03:01:04 +0000
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treee5abdee7535ece54123168f0fa9a21fa0a627464 /macros/latex/contrib/tkz/tkz-elements/doc/latex/TKZdoc-elements-classes-rectangle.tex
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+\newpage
+\section{Classe \Iclass{rectangle}} % (fold)
+
+\subsection{Rectangle attributes} % (fold)
+\label{sub:rectangle_attributes}
+
+
+Points are created in the direct direction. A test is performed to check whether the points form a rectangle, otherwise compilation is blocked.
+
+\begin{mybox}
+Creation | R.ABCD = rectangle : new (z.A,z.B,z.C,z.D)|
+\end{mybox}
+
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{rectangle attributes.}
+\begin{tabular}{lll}
+\toprule
+\textbf{Attributes} & \textbf{Application} & \\
+\Iattr{rectangle}{pa} & |z.A = R.ABCD.pa| & \\
+\Iattr{rectangle}{pb} & |z.B = R.ABCD.pb| & \\
+\Iattr{rectangle}{pc} & |z.C = R.ABCD.pc| & \\
+\Iattr{rectangle}{pd} & |z.D = R.ABCD.pd| & \\
+\Iattr{rectangle}{type} & |R.ABCD.type= 'rectangle'| &\\
+\Iattr{rectangle}{center} & |z.I = R.ABCD.center| & center of the rectangle\\
+\Iattr{rectangle}{length} & |R.ABCD.length| & the length \\
+\Iattr{rectangle}{width} & |R.ABCD.width| & the width \\
+\Iattr{rectangle}{diagonal} & |R.ABCD.diagonal| & diagonal length\\
+\Iattr{rectangle}{ab} & |R.ABCD.ab| & line passing through two vertices \\
+\Iattr{rectangle}{ac} & |R.ABCD.ca| & idem. \\
+\Iattr{rectangle}{ad} & |R.ABCD.ad| & idem. \\
+\Iattr{rectangle}{bc} & |R.ABCD.bc| & idem. \\
+\Iattr{rectangle}{bd} & |R.ABCD.bd| & idem. \\
+\Iattr{rectangle}{cd} & |R.ABCD.cd| & idem. \\
+\bottomrule
+\end{tabular}
+\egroup
+
+\subsubsection{Example} % (fold)
+\label{ssub:example}
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 0 )
+z.C = point : new ( 4 , 4)
+z.D = point : new ( 0 , 4)
+R.new = rectangle : new (z.A,z.B,z.C,z.D)
+z.I = R.new.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C,D)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[red](I)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\hspace{\fill}\begin{minipage}{.5\textwidth}
+ \begin{tkzelements}
+ scale =1.5
+ z.A = point : new ( 0 , 0 )
+ z.B = point : new ( 4 , 0 )
+ z.C = point : new ( 4 , 2)
+ z.D = point : new ( 0 , 2)
+ R.new = rectangle : new (z.A,z.B,z.C,z.D)
+ z.I = R.new.center
+ \end{tkzelements}
+
+ \begin{tikzpicture}
+ \tkzGetNodes
+ \tkzDrawPolygon(A,B,C,D)
+ \tkzDrawSegment[dashed](A,C)
+ \tkzDrawPoints(A,B,C,D)
+ \tkzLabelPoints(A,B)
+ \tkzLabelPoints[above](C,D)
+ \tkzDrawPoints[red](I)
+ \tkzLabelPoint[right = 10pt](I){$I$\\ |R.new.center|}
+ \tkzLabelSegment[sloped,above](C,D){|R.new.length| = \pmpn{\tkzUseLua{R.new.length}}}
+ \tkzLabelSegment[sloped,above](A,C){|R.new.diagonal| = \pmpn{\tkzUseLua{R.new.diagonal}}}
+ % \tkzUseLua{R.new.length} and \tkzUseLua{R.new.diagonal} to get the values.
+\end{tikzpicture}
+\end{minipage}
+% subsubsection example (end)
+% subsection rectangle_attributes (end)
+
+\newpage
+\subsection{Rectangle methods} % (fold)
+\label{sub:rectangle_methods}
+
+\bgroup
+\catcode`_=12
+\small
+\captionof{table}{Rectangle methods.}
+\begin{tabular}{lll}
+\toprule
+\textbf{Methods} & \textbf{Comments} & \\
+\midrule
+\Imeth{rectangle}{angle (zi,za,angle)} &|R.ang = rectangle : angle (z.I,z.A)| ; |z.A | &vertex ; ang angle between 2 vertices\\
+\midrule
+\Imeth{rectangle}{gold (za,zb)} & |R.gold = rectangle : gold (z.A,z.B)| &length/width = $\phi$\\
+\midrule
+\Imeth{rectangle}{diagonal (za,zc)} &|R.diag = rectangle : diagonal (z.I,z.A)| &$I$ square center $A$ first vertex\\
+\midrule
+\Imeth{rectangle}{side (za,zb,d)} &|S.IA = rectangle : side (z.I,z.A)|& $I$ square center $A$ first vertex\\
+\midrule
+\Imeth{rectangle}{get\_lengths ()} &|S.IA = rectangle : get_lengths ()|& $I$ square center $A$ first vertex\\
+\bottomrule %
+\end{tabular}
+\egroup
+
+\subsubsection{Angle method} % (fold)
+\label{ssub:angle_method}
+
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+scale = .5
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 0 )
+z.C = point : new ( 4 , 3 )
+P.ABCD = rectangle : angle ( z.C , z.A , math.pi/6)
+z.B = P.ABCD.pb
+z.C = P.ABCD.pc
+z.D = P.ABCD.pd
+z.I = P.ABCD.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C)
+\tkzLabelPoints(A,B,C,D)
+\tkzDrawPoints[new](I)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+scale = .5
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 0 )
+z.C = point : new ( 4 , 3 )
+P.ABCD = rectangle : angle ( z.C , z.A , math.pi/6)
+z.B = P.ABCD.pb
+z.C = P.ABCD.pc
+z.D = P.ABCD.pd
+z.I = P.ABCD.center
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[new](I)
+\tkzLabelSegment[sloped,above](A,B){|rectangle: angle (z.C,z.A,math.pi/6)|}
+\end{tikzpicture}
+\end{minipage}
+% subsubsection angle_method (end)
+
+\subsubsection{Side method} % (fold)
+\label{ssub:side_method}
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 3 )
+R.side = rectangle : side (z.A,z.B,3)
+z.C = R.side.pc
+z.D = R.side.pd
+z.I = R.side.center
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C,D)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[red](I)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.B = point : new ( 4 , 3 )
+R.side = rectangle : side (z.A,z.B,3)
+z.C = R.side.pc
+z.D = R.side.pd
+z.I = R.side.center
+\end{tkzelements}
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C,D)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[red](I)
+\tkzLabelSegment[sloped,above](A,B){|rectangle : side (z.A,z.B,3)|}
+\end{tikzpicture}
+\end{minipage}
+% subsubsection side_method (end)
+
+\subsubsection{Diagonal method} % (fold)
+\label{ssub:diagonal_method}
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+z.E = point : new ( 0 , 0 )
+z.G = point : new ( 4 , 3 )
+R.diag = rectangle : diagonal (z.E,z.G)
+z.F = R.diag.pb
+z.H = R.diag.pd
+z.I = R.diag.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(E,F,G,H)
+\tkzDrawPoints(E,F,G,H)
+\tkzLabelPoints((E,F)
+\tkzLabelPoints[above](G,H)
+\tkzDrawPoints[red](I)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+z.A = point : new ( 0 , 0 )
+z.C = point : new ( 4 , 3 )
+R.diag = rectangle : diagonal (z.A,z.C)
+z.B = R.diag.pb
+z.D = R.diag.pd
+z.I = R.diag.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C,D)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[red](I)
+\tkzLabelSegment[sloped,above](A,B){|rectangle : diagonal (z.A,z.C)|}
+\end{tikzpicture}
+\end{minipage}
+% subsubsection diagonal_method (end)
+
+\subsubsection{Gold method} % (fold)
+\label{ssub:gold_method}
+\begin{minipage}{.5\textwidth}
+\begin{verbatim}
+\begin{tkzelements}
+z.X = point : new ( 0 , 0 )
+z.Y = point : new ( 4 , 2 )
+R.gold = rectangle : gold (z.A,z.B)
+z.C = R.gold.pc
+z.D = R.gold.pd
+z.I = R.gold.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(A,B,C,D)
+\tkzDrawPoints(A,B,C,D)
+\tkzLabelPoints(A,B)
+\tkzLabelPoints[above](C,D)
+\tkzDrawPoints[red](I)
+\end{tikzpicture}
+\end{verbatim}
+\end{minipage}
+\begin{minipage}{.5\textwidth}
+\begin{tkzelements}
+z.X = point : new ( 0 , 0 )
+z.Y = point : new ( 4 , 2 )
+R.gold = rectangle : gold (z.X,z.Y)
+z.Z = R.gold.pc
+z.W = R.gold.pd
+z.I = R.gold.center
+\end{tkzelements}
+
+\begin{tikzpicture}
+\tkzGetNodes
+\tkzDrawPolygon(X,Y,Z,W)
+\tkzDrawPoints(X,Y,Z,W)
+\tkzLabelPoints(X,Y)
+\tkzLabelPoints[above](Z,W)
+\tkzDrawPoints[red](I)
+\tkzLabelSegment[sloped,above](X,Y){|rectangle : gold (z.X,z.Y)|}
+\end{tikzpicture}
+\end{minipage}
+% subsubsection gold_method (end)
+% subsection rectangle_methods (end) \ No newline at end of file