init

3dgrafiken/3dgrafik.tex

@@ -0,0 +1,12 @@
+\begin{figure}[h]
+\begin{center}
+\color{white}
+\fboxsep=0pt
+\PSforPDF{
+\input{VeranschaulichungVonVektorenImRaum02.pst}
+} %PDF
+   %Bild links
+\end{center}
+   % \caption{Veranschaulichung von Vektoren im Raum}
+\end{figure}
+ 

3dgrafiken/3dgrafiken.tcp

@@ -0,0 +1,12 @@
+[FormatInfo]
+Type=TeXnicCenterProjectInformation
+Version=4
+
+[ProjectInfo]
+MainFile=3dgrafiken.tex
+UseBibTeX=0
+UseMakeIndex=0
+ActiveProfile=LaTeX => PS
+ProjectLanguage=
+ProjectDialect=
+

3dgrafiken/3dgrafiken.tex

@@ -0,0 +1,30 @@
+\documentclass{article}
+\usepackage{graphicx}
+\usepackage{pst-3dplot}
+\usepackage{pst-grad}
+\usepackage{pst-solides3d}
+
+
+	\usepackage{pst-eps}
+	\usepackage{color}
+%\usepackage{pstricks-add}
+
+
+
+\pagestyle{empty}
+
+\begin{document}
+
+\TeXtoEPS
+
+% \fbox{
+%\input{rechteHandRegel.pst}%}
+
+\psset{Decran=10,lightsrc=20 10 10,viewpoint=20 20 30 rtp2xyz}
+\psSolid[object=plan,a=5,ngrid=5,fillcolor=blue!40]
+
+
+
+\endTeXtoEPS
+
+\end{document} 

3dgrafiken/3dgrafiken.tps

@@ -0,0 +1,153 @@
+[FormatInfo]
+Type=TeXnicCenterProjectSessionInformation
+Version=1
+
+[SessionInfo]
+ActiveTab=2
+FrameCount=5
+
+[Frame0]
+Columns=1
+Rows=1
+Flags=0
+ShowCmd=1
+MinPos.x=-1
+MinPos.y=-1
+MaxPos.x=-4
+MaxPos.y=-30
+NormalPos.left=154
+NormalPos.top=203
+NormalPos.right=1074
+NormalPos.bottom=638
+Class=CLatexEdit
+Document=..\2dgrafiken\KanonischeVektorenImRaum.pst
+
+[Frame0_Row0]
+cyCur=380
+cyMin=10
+
+[Frame0_Col0]
+cxCur=891
+cxMin=10
+
+[Frame0_View0,0]
+Cursor.row=0
+Cursor.column=0
+TopSubLine=0
+
+[Frame1]
+Columns=1
+Rows=1
+Flags=0
+ShowCmd=1
+MinPos.x=-1
+MinPos.y=-1
+MaxPos.x=-4
+MaxPos.y=-30
+NormalPos.left=88
+NormalPos.top=116
+NormalPos.right=1008
+NormalPos.bottom=522
+Class=CLatexEdit
+Document=rechteHandRegel.pst
+
+[Frame1_Row0]
+cyCur=351
+cyMin=10
+
+[Frame1_Col0]
+cxCur=891
+cxMin=10
+
+[Frame1_View0,0]
+Cursor.row=4
+Cursor.column=1
+TopSubLine=0
+
+[Frame2]
+Columns=1
+Rows=1
+Flags=0
+ShowCmd=1
+MinPos.x=-1
+MinPos.y=-1
+MaxPos.x=-4
+MaxPos.y=-30
+NormalPos.left=66
+NormalPos.top=87
+NormalPos.right=1004
+NormalPos.bottom=518
+Class=CLatexEdit
+Document=3dgrafiken.tex
+
+[Frame2_Row0]
+cyCur=376
+cyMin=10
+
+[Frame2_Col0]
+cxCur=909
+cxMin=10
+
+[Frame2_View0,0]
+Cursor.row=17
+Cursor.column=28
+TopSubLine=0
+
+[Frame3]
+Columns=1
+Rows=1
+Flags=0
+ShowCmd=1
+MinPos.x=-1
+MinPos.y=-1
+MaxPos.x=-4
+MaxPos.y=-30
+NormalPos.left=66
+NormalPos.top=87
+NormalPos.right=986
+NormalPos.bottom=522
+Class=CLatexEdit
+Document=..\..\Mathematik\Mathematik L<>sungen\Aufg_124.tex
+
+[Frame3_Row0]
+cyCur=380
+cyMin=10
+
+[Frame3_Col0]
+cxCur=891
+cxMin=10
+
+[Frame3_View0,0]
+Cursor.row=0
+Cursor.column=0
+TopSubLine=0
+
+[Frame4]
+Columns=1
+Rows=1
+Flags=2
+ShowCmd=3
+MinPos.x=-1
+MinPos.y=-1
+MaxPos.x=-4
+MaxPos.y=-30
+NormalPos.left=88
+NormalPos.top=116
+NormalPos.right=1008
+NormalPos.bottom=551
+Class=CLatexEdit
+Document=..\..\Mathematik\Aufgabe120.tex
+
+[Frame4_Row0]
+cyCur=617
+cyMin=10
+
+[Frame4_Col0]
+cxCur=1053
+cxMin=10
+
+[Frame4_View0,0]
+Cursor.row=0
+Cursor.column=0
+TopSubLine=69
+

3dgrafiken/VeranschaulichungVonVektorenImRaum01.pst

@@ -0,0 +1,39 @@
+\begin{pspicture}(-1,-2)(6,6)
+
+\psset{xMin=0, xMax=5, yMin=0, yMax=5, zMin=0, zMax=5, spotY=30, Alpha=150, yThreeDunit=1, IIIDticks, Dx=1, Dy=1, Dz=1}
+\def\xSchnittp{3,0,0}
+\def\ySchnittp{0,3,0}
+\def\zSchnittp{0,0,4}
+\def\xyzSchnittp{3,3,4}
+\pstThreeDCoor
+\pstThreeDDot[drawCoor=true, linecolor=blue, linewidth=0.1pt](3,3,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\zSchnittp)(3,0,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](3,0,4)(\xyzSchnittp)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\xSchnittp)(3,0,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\zSchnittp)(0,3,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\ySchnittp)(0,3,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](0,3,4)(\xyzSchnittp)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=red](3,0,0)(3, -0.4,0)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=red](0,3,0)(-0.4,3,0)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=red](0,0,4)(0,-0.4,4)
+\pstPlanePut[plane =xz](0 ,0.5 , 4.5) {\red 3. Koordinate }
+%\setkeys{psset}{arrows=->,arrowsize=0.2}
+%\pstThreeDSquare(0,0,0)(3,0,0)(0,4,0)
+%\uput[0](0.9,2.25){$\vec{u}$}
+\pstPlanePut[plane =xz](3.3,3,4.3){Punkt}
+\pstPlanePut[plane =xz](3.3,3,3.9){$\left(a_1, a_2, a_3\right)$}
+%\pstThreeDPut(2,0,5.85){\color{red}(3. Koordinate)}
+%\uput[-90](2,0,5.85){\color{red}(3. Koordinate)}
+%\pstThreeDLine[linecolor=green](0,0,0)(3,3,4)
+\pstPlanePut[plane =xz](3,-0.8,0){\color{red}$a_1$}
+\pstPlanePut[plane =yz](-0.6,3,0){\color{red}$a_2$}
+\pstPlanePut[plane =yz](0,-1,4){\color{red}$a_3$}
+%\pstThreeDPut(-0.4,3,0){3}
+%\pstThreeDPut(-0.4,0,4){4}
+%\pstThreeDPut(
+\end{pspicture}
+
+
+
+
+ 

3dgrafiken/VeranschaulichungVonVektorenImRaum02.pst

@@ -0,0 +1,60 @@
+\begin{pspicture}(-1,-2)(6,6)
+\psset{xMin=0, xMax=5, yMin=0, yMax=5, zMin=0, zMax=5, spotY=30, Alpha=150, yThreeDunit=1, IIIDticks, Dx=1, Dy=1, Dz=1}
+\pstThreeDCoor[]
+
+%\pstThreeDDot[drawCoor=true](3,3,4)
+\def\xSchnittp{3,0,0}
+\def\ySchnittp{0,3,0}
+\def\zSchnittp{0,0,4}
+\def\xyzSchnittp{3,3,4}
+\pstThreeDCoor
+
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\zSchnittp)(3,0,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](3,0,4)(\xyzSchnittp)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\xSchnittp)(3,0,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\zSchnittp)(0,3,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\ySchnittp)(0,3,4)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](0,3,4)(\xyzSchnittp)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](\xSchnittp)(3,3,0)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](3,3,0)(\ySchnittp)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=blue](3,3,0)(\xyzSchnittp)
+
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=red](3,0,0)(3, -0.4,0)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed, linecolor=red](0,3,0)(-0.4,3,0)
+\pstThreeDLine[linewidth=0.1pt, linestyle=dashed,linecolor=red](0,0,4)(0,-0.4,4)
+
+
+\pstPlanePut[plane =xz](3.1,3.1,4.1){\green Vektor}
+\pstPlanePut[plane =xz](3.3,2.6,4.1){\green ("Pfeil") $\vec{a}$}
+
+
+%\setkeys{psset}{arrows=->,arrowsize=0.2}
+\pstThreeDLine[linecolor=green](0,0,0)(3,3,4)
+%\pstThreeDPut(3,-0.4,0){3}
+%\pstThreeDPut(-0.4,3,0){3}
+%\pstThreeDPut(-0.4,0,4){4}
+%\pstThreeDPut(
+
+%\pscustom[linewidth=1.2pt,arrowscale=1.5]{
+%   \code{/x 1 def 
+%         /y 4 x 1 add ln mul def} 
+%      \multido{\i=1+1}{4}{
+%          \moveto(!x y) 
+%          \psline{->}(!x x)(!x y) \closepath 
+%          \psline{->}(!x y)(!y y) \closepath 
+%          \code{/x y def 
+%                /y 4 x 1 add ln mul def} 
+%      } 
+ 
+%}
+
+
+\pstPlanePut[plane =xz](3,-0.8,0){\color{red}$a_1$}
+\pstPlanePut[plane =yz](-0.6,3,0){\color{red}$a_2$}
+\pstPlanePut[plane =yz](0,-1,4){\color{red}$a_3$}
+\end{pspicture}
+
+
+
+
+ 

3dgrafiken/erzeuge.bat

@@ -0,0 +1,9 @@
+del %1.eps
+latex 3dgrafiken.tex
+latex 3dgrafiken.tex
+dvips -EPSF 3dgrafiken.dvi
+REM dvips -E 3dgrafiken.dvi
+REM dvips.exe -E 3dgrafiken.dvi
+ren 3dgrafiken.ps %1.eps
+del %1.pdf
+epstopdf %1.eps

3dgrafiken/rechteHandRegel.pst

@@ -0,0 +1,23 @@
+\begin{pspicture}(-0.5,-0.5)(10.5,8)
+
+\rput[c](3.5,3.5){\includegraphics[scale=0.8]{reHa.eps}}
+
+%\psgrid(0,0)(10,7.5)
+
+\psline[arrowlength=3, arrowinset=0.1, linecolor=red, linewidth=1mm]{->}(3.7,5.65)(3.7,7)
+\rput[c](3.7,7.3){\Large\textbf{$\color{red}\vec{a}$}}
+\psline[arrowlength=3, arrowinset=0.1, linecolor=blue, linewidth=1mm]{->}(2.2,2.2)(1.4,0.5)%(1.2,0.5)
+\rput[c](1.3,0.25){\Large\textbf{$\color{blue}\vec{b}$}}
+\psline[arrowlength=3, arrowinset=0.1, linecolor=green, linewidth=1mm]{->}(5.15,4.1)(6.15,5.2)
+\rput[c](6.15,5.4){\Large\textbf{$\color{green}\vec{a}\times\vec{b}$}}
+%\rput[c](6.37,0.2){\color{red}{i. Koordinate}}
+\rput[l](5,3){Sind $\vec{a}$ und $\vec{b}$ linear unabh\"angig,}
+\rput[l](5,2.6){so ist $\vec{a}\times\vec{b}$ so orientiert, dass $\vec{a}$, }
+\rput[l](5,2.2){$\vec{b}$ und $\vec{a}\times\vec{b}$ der "Rechte Hand}
+\rput[l](5,1.8){Regel" gen\"ugen.}
+\end{pspicture}
+
+
+
+
+