• Beitrags-Autor:
  • Beitrag zuletzt geändert am:09.05.2020
  • Beitrags-Kategorie:Mathematik
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Koordinatensystem - 2d kartesisch
% Author:      Tobias Krähling
% Needs:       pstricks,pstricks-add
% DesignScale: unit=10mm
% Size:			   6.2 x 4.3	
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\sbPSTDefault\sffamily\psset{unit=10mm}
\begin{pspicture}(-2.1,-2.1)(4.1,2.2)
	\psaxes[ticks=none,labels=none]{->}(0,0)(-2,-2)(2.1,2.1)
	\rput( 1, 1){I}
	\rput(-1, 1){II}
	\rput(-1,-1){III}
	\rput( 1,-1){IV}
	\uput[-90](2.0,0.0){x}
	\uput[180](0.0,2.0){y}
	\rput[l](0.2, 2.0){\frqq Ordinate\flqq}
	\rput[r](4.0, 0.0){\frqq Abzisse\flqq}
	\rput[r](4.0,-1.7){\frqq 4 Quadranten\flqq}
\end{pspicture}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Koordinatensystem - 2d kartesisch
% Author:      Tobias Krähling
% Needs:       pstricks,pstricks-add
% DesignScale: unit=10mm
% Size:			   4.0 x 2.9	
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\sbPSTDefault\sffamily\psset{unit=10mm}
\begin{pspicture}(-0.7,-0.6)(3.3,2.3)
	\psaxes[ticks=none,labels=none]{->}(0,0)(-0.5,-0.5)(2.2,2.2)
	\uput[-90](2.1,0.0){$x$}
	\uput[180](0.0,2.1){$y$}
	\psline[linestyle=dashed,linecolor=sblinemed,linewidth=1pt]( 1.5,-0.1)(1.5,1.5)
	\psline[linestyle=dashed,linecolor=sblinemed,linewidth=1pt](-0.1, 1.5)(1.5,1.5)
	\psdots[linecolor=sblinemed](1.5,1.5)
	\uput[180](0.0,1.5){$y_1$}
	\uput[-90](1.5,0.0){$x_1$}
	\uput[45](1.5,1.5){$P_1(x_1,y_1)$}
\end{pspicture}
}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Title:			 Koordinatensystem - Polarkoordinaten
% Author:      Tobias Krähling
% Needs:       pstricks,pst-node,pstricks-add
% DesignScale: unit=10mm
% Size:			   6.9 x 4.3	
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
{\sbPSTDefault\sffamily\psset{unit=10mm}
  \begin{pspicture}(-2.8,-1.1)(4.1,3.2)
    \SpecialCoor
    \pnode( 1.8, 1.73){P}
    \pnode( 0.0, 0.00){OO}
    \pnode(-0.8, 0.00){y1}
    \pnode(-0.8, 1.73){y2}
    \pnode( 0.0,-0.90){x1}
    \pnode( 1.8,-0.90){x2}
    \pnode( 2.6, 1.05){ov}
    \pnode( 1.0, 1.00){r}
    \psaxes[ticks=none
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           ]{->}(0,0)(-2.7,-1)(3.1,3.1)
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    \psline[linestyle=dashed,linecolor=sblinemed,linewidth=1pt
           ](  0,1.73)(P)
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           ](1.8,0  )(P)
    \psdots[linecolor=sblinemed](P)
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           ](OO)(P)
    \psarc[linewidth=1pt,linecolor=sblinehighlight]{->}(0,0){0.9}{0}{44}
    \uput{0.4}[22](OO){$\varphi_1$}
    \uput[45](P){$P_1(r_1,\varphi_1)$}
    \uput{0.05}[135](r){\textcolor{sblinehighlight}{$r_1$}}
    \uput[-90](2.9,0){$x$}
    \uput[180](0,2.9){$y$}
    \ncline[linecolor=sblinemed]{|*-|*}{x1}{x2}\ncput*{$x_1$}
    \ncline[linecolor=sblinemed]{|*-|*}{y1}{y2}\ncput*{$y_1$}
    \rput[l](ov){Ortsvektor}
    \pcline[nodesep=3pt,linewidth=0.5pt,arrows=->](ov)(r)
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