Graphikbibliothek – Sammlung
Koordinatensysteme in drei Dimensionen
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Title: Koordinatensysteme - 3d-Kartesisch % Author: Tobias Krähling % Needs: pstricks, pst-3dplot % DesignScale: unit=15mm % Size: 3.9 x 3.85 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\sbPSTDefault\sffamily \psset{unit=15mm} \begin{pspicture}(-0.8,-1.35)(3.1,2.5) \psset{Alpha=80} \pstThreeDDot[drawCoor=true,linecolor=sblinemed,linewidth=1pt](2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ,linewidth=1pt ](0,0,2)(2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ,linewidth=1pt ](0,0,0)(2,2,0) \pstThreeDLine[linecolor=sblinehighlight ,linestyle=solid ,arrows=-> ,linewidth=1pt ](0,0,0)(1.95,1.95,1.95) \pstThreeDCoor[xMin=0,xMax=2.5 ,yMin=0,yMax=2.5 ,zMin=0,zMax=2.5 ,linecolor=black,linewidth=1pt] \pstThreeDPut( 0.0,-0.2,2.0){$z_1$} \pstThreeDPut(-0.2, 2.0,0.2){$y_1$} \pstThreeDPut( 2.2,-0.2,0.2){$x_1$} \pstThreeDPut( 1.1, 0.7,0.0){$r_p$} \pstThreeDPut( 1.0, 1.0,1.3){$r$} \pstThreeDPut( 2.2, 2.2,2.3){\rput[l]{U}{$P_1(x_1,y_1,z_1)$}} \end{pspicture} }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Title: Koordinatensysteme - 3d-Kartesisch % Author: Tobias Krähling % Needs: pstricks, pst-3dplot % DesignScale: unit=15mm % Size: 3.6 x 3.85 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\sbPSTDefault\sffamily \psset{unit=15mm} \begin{pspicture}(-0.8,-1.35)(2.8,2.5) \psset{Alpha=80} \pstThreeDDot[drawCoor=true,linecolor=sblinemed,linewidth=1pt](2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ,linewidth=1pt ](0,0,2)(2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ,linewidth=1pt ](0,0,0)(2,2,0) \pstThreeDLine[linecolor=sblinehighlight ,linestyle=solid ,arrows=-> ,linewidth=1pt ](0,0,0)(1.95,1.95,1.95) \pstThreeDCoor[xMin=0,xMax=2.5 ,yMin=0,yMax=2.5 ,zMin=0,zMax=2.5 ,linecolor=black,linewidth=1pt] \pstThreeDPut( 0.0,-0.2,2.0){$z$} \pstThreeDPut(-0.2, 2.0,0.2){$y$} \pstThreeDPut( 2.2,-0.2,0.2){$x$} \pstThreeDPut( 1.0, 1.0,1.3){$\Vec{r}$} \pstThreeDPut( 2.2, 2.2,2.3){\rput[l]{U}{$P(x,y,z)$}} \end{pspicture} }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Title: Koordinatensystem - Zylinderkoordinaten % Author: Tobias Krähling % Needs: pstricks, pst-3dplot % DesignScale: unit=15mm % Size: 3.6 x 4.0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\sbPSTDefault\sffamily \psset{unit=15mm} \begin{pspicture}(-0.8,-1.5)(2.8,2.5) \psset{Alpha=80} \pstThreeDDot[drawCoor=true,linecolor=sblinemed,linewidth=1pt ](2,2,2) \pstThreeDLine[linecolor=sblinemed,linestyle=dashed,linewidth=1pt ](0,0,2)(2,2,2) \pstThreeDLine[linecolor=sblinemed,linestyle=dashed,linewidth=1pt ](0,0,0)(2,2,0) \pstThreeDLine[linecolor=sblinehighlight,linestyle=solid,linewidth=1pt ,arrows=-> ](0,0,0)(1.95,1.95,1.95) \pstThreeDEllipse[beginAngle=0,endAngle=45,arrows=-> ,linewidth=1pt,linecolor=sblinemed ](0,0,0)(0.8,0,0)(0,0.8,0) \pstThreeDCoor[xMin=0,xMax=2.5,yMin=0,yMax=2.5,zMin=0,zMax=2.5 ,linecolor=black,linewidth=1pt] \pstThreeDPut( 0.0,-0.2,2.0){$z_1$} \pstThreeDPut(-0.2, 2.0,0.2){$y_1$} \pstThreeDPut( 2.2,-0.2,0.2){$x_1$} \pstThreeDPut( 1.1, 0.7,0.0){$\varrho$} \pstThreeDPut( 1.0, 1.0,1.3){$r$} \pstThreeDPut( 2.2, 2.2,2.3){\rput[l]{U}{$P_1(\varrho,\varphi,z)$}} \pstThreeDPut( 2.2, 2.2,0.0){$P'_1$} \pstThreeDPut( 0.5, 0.2,0.0){$\varphi$} \end{pspicture} }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Title: Koordinatensystem - Zylinderkoordinaten % Author: Tobias Krähling % Needs: pstricks, pst-3dplot % DesignScale: unit=15mm % Size: 4.5 x 4 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\sbPSTDefault\sffamily \psset{unit=15mm} \begin{pspicture}(-1,-1.5)(3.5,2.5) \psset{Alpha=80} \pstThreeDSquare[fillcolor=sbfilllight!30,fillstyle=solid ,linestyle=none ](0,-2.8,0)(0,5.62,0)(0,0,2.3) \pstThreeDEllipse[fillcolor=sbfilllight!30,fillstyle=solid ,linestyle=none ](0,0,0)(2.8,0,0)(0,2.8,0) \pstThreeDLine[linecolor=sbfillmed](0,2.835,0.1)(0,2.835,2.3) \pstThreeDEllipse[linecolor=sbfillmed ,beginAngle=-90,endAngle=90 ](0,0,0)(2.8,0,0)(0,2.8,0) \pstThreeDEllipse[fillcolor=sbfilllight!30,fillstyle=solid ,linecolor=sbfillmed ](0,0,2)(2.8,0,0)(0,2.8,0) \pstThreeDEllipse[linecolor=sbfillmed,linestyle=dashed ,beginAngle=90,endAngle=270 ](0,0,0)(2.8,0,0)(0,2.8,0) \pstThreeDEllipse[linestyle=dotted,linecolor=sbfillmed ](0,0,0.5)(2.8,0,0)(0,2.8,0) \pstThreeDEllipse[linestyle=dotted,linecolor=sbfillmed ](0,0,1)(2.8,0,0)(0,2.8,0) \pstThreeDEllipse[linestyle=dotted,linecolor=sbfillmed ](0,0,1.5)(2.8,0,0)(0,2.8,0) %\pstThreeDEllipse[fillcolor=lightblue,fillstyle=solid](0,0,0)(2,0,2)(0,2,2) \pstThreeDDot[drawCoor=true ,linecolor=sblinemed,linewidth=1pt ](2,2,2) \pstThreeDLine[linecolor=sblinemed,linestyle=dashed,linewidth=1pt ](0,0,2)(2,2,2) \pstThreeDLine[linecolor=sblinemed,linestyle=dashed,linewidth=1pt ](0,0,0)(2,2,0) \pstThreeDLine[linecolor=sblinehighlight,linestyle=solid,linewidth=1pt ,arrows=-> ](0,0,0)(1.95,1.95,1.95) \pstThreeDEllipse[beginAngle=0,endAngle=45 ,arrows=-> ,linewidth=1pt,linecolor=sblinemed ](0,0,0)(0.8,0,0)(0,0.8,0) \pstThreeDCoor[xMin=0,xMax=2.5,yMin=0,yMax=2.5,zMin=0,zMax=2.5 ,linecolor=black,linewidth=1pt] \pstThreeDPut( 0.0,-0.2,2.0){$z$} \pstThreeDPut(-0.2, 2.0,0.2){$y$} \pstThreeDPut( 2.2,-0.2,0.2){$x$} \pstThreeDPut( 1.1, 0.7,0.0){$\varrho$} \pstThreeDPut( 1.0, 1.0,1.3){$r$} \pstThreeDPut( 2.2, 2.2,2.3){\rput[l]{U}{$P(\varrho,\varphi,z)$}} \pstThreeDPut( 0.5, 0.2,0.0){$\varphi$} \end{pspicture} }
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Title: Koordinatensysteme - Kugelkoordinaten % Author: Tobias Krähling % Needs: pstricks, pst-grad, pst-3d, pst-3dplot % DesignScale: unit=15mm % Size: 3.9 x 4.0 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% {\sbPSTDefault\sffamily \psset{unit=15mm} \begin{pspicture}(-1.0,-1.5)(2.9,2.5) \psset{Alpha=80} \pstThreeDSphere[linecolor=sbfilllight ,linestyle=none ,SegmentColor={sbfilllight!30!white} ](0,0,0){2} \pstThreeDDot[drawCoor=true ,linecolor=sblinemed ,linewidth=1pt ](2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ](0,0,2)(2,2,2) \pstThreeDLine[linecolor=sblinemed ,linestyle=dashed ](0,0,0)(2,2,0) \pstThreeDLine[linecolor=sblinehighlight ,linestyle=solid ,arrows=-> ,linewidth=1pt ](0,0,0)(1.95,1.95,1.95) \pstThreeDEllipse[beginAngle=0,endAngle=44 ,arrows=-> ,linewidth=1pt ,linecolor=sblinemed ](0,0,0)(0.8,0,0)(0,0.8,0) \pstThreeDEllipse[beginAngle=0,endAngle=70 ,arrows=-> ,linewidth=1pt ,linecolor=sblinemed ](0,0,0)(0,0,0.5)(0.8,0.8,0.4) \pstThreeDCoor[xMin=0,xMax=2.5 ,yMin=0,yMax=2.5 ,zMin=0,zMax=2.5 ,linecolor=black ,linewidth=1pt] \pstThreeDPut(1.0,1.0,1.3){$r$} \pstThreeDPut(2.2,2.2,2.3){\rput[l]{U}{$P_1(r,\vartheta,\varphi)$}} \pstThreeDPut(0.5,0.2,0.0){$\varphi$} \pstThreeDPut(0.5,0.25,0.55){$\vartheta$} \end{pspicture} }