\documentclass[a4paper,12pt]{article}% hvoss \usepackage{pstricks-add,fullpage} \usepackage{pst-3dplot,pst-solides3d} \usepackage{pst-plot,pst-intersect,mathtools} %\pagestyle{empty} \begin{document} \begin{pspicture}(-0.5,-3.5)(2.5,3.5) %\psaxes[]{->}(0,0)(-0.5,-3.5)(3,3.5) \psline[linewidth=1mm]{->}(-1,0)(3,0) \psline[linewidth=1mm]{->}(-.1,-3.5)(-.1,3.5) \psparametricplot[algebraic, linewidth=1.8mm,plotpoints=200,yMaxValue=3]{-2}{2}{t^2|t*(t^2-1)} \rput[lb](2.5,1.3){$y^2=(x-1)^2 x$} \psline[linewidth=1mm](-0.3,1)(.1,1) \rput(-.7,1){$1$} \psline[linewidth=1mm](-0.3,2)(.1,2) \rput(-.7,2){$2$} \psline[linewidth=1mm](-0.3,3)(.1,3) \rput(-.7,3){$3$} \psline[linewidth=1mm](-0.3,-1)(.1,-1) \rput(-.9,-1){$-1$} \psline[linewidth=1mm](-0.3,-2)(.1,-2) \rput(-.9,-2){$-2$} \psline[linewidth=1mm](-0.3,-3)(.1,-3) \rput(-.9,-3){$-3$} \rput(1,-.7){$1$} \psline[linewidth=1mm](2,-.2)(2,.2) \rput(2,-.7){$2$} \end{pspicture} \vspace*{2cm} \psset{Alpha=75,unit=4} \begin{pspicture}(-0.6,-1)(2,2) \psset{arrowscale=1.5,arrowinset=0,dotstyle=*,dotscale=1.5,drawCoor} \pstThreeDCoor[linecolor=black,xMin=-0.5,xMax=2,yMin=-0.5,yMax=2,zMin=-0.5,zMax=2,linewidth=1mm,% nameX=$x$,spotX=270,nameY=$y$,nameZ=$z$] \pstThreeDLine[linewidth=1.8mm](1.5,0,0)(0,1.5,0) \pstThreeDLine[linewidth=1.8mm](0,1.5,0)(0,0,1.5) \pstThreeDLine[linewidth=1.8mm](0,0,1.5)(1.5,0,0) %\pstThreeDDot[linecolor=blue]( 1.5 ,0 , 0) %\pstThreeDDot[linecolor=blue]( 0 ,1.5 , 0) %\pstThreeDDot[linecolor=blue]( 0 ,0 , 1.5) \pstThreeDPut(1.5,0.1,-0.1){$\sqrt{E_s}$} \pstThreeDPut(0.2,1.65,0.3){$\sqrt{E_s}$} \pstThreeDPut(0.1,.2,1.7){$\sqrt{E_s}$} \end{pspicture} \newpage %\vspace*{4cm} \psset{unit=0.3,viewpoint=20 20 20 rtp2xyz} \hspace*{1cm}\begin{pspicture}(-4,-3)(4,8) \psSolid[object=grille,base=-2 2 -2 2,linewidth=1mm] \axesIIID[axisnames={x,y,z},linewidth=1mm](0,0,0)(3.5,3,3) \defFunction[algebraic]{mydensity}(t) {cos(t)} {sin(t)} {10*(t/8)*(1-(t/6.5))^4} \psSolid[object=courbe,r=.01,range=-1.3 10.5,linewidth=0.1,resolution=360,linewidth=1.8mm, function=mydensity,linecolor=black,incolor=yellow,,hue=0 1] \rput(-2,-8){$(\cos(t),\sin(t),10\cdot (t/8)\cdot(1-(t/6.5))^4)$} \end{pspicture} \newpage \psset{linewidth=1mm} \begin{pspicture}(-2,-2)(8,8) \psaxes[labels=none,ticks=none]{->}(0,0)(-2,-2)(8,8)[$M$,-90][$Y$,0] \psset{linewidth=1.8mm,algebraic} \pssavepath{A}{\psplot{-0.5}{8}{4*(1-1.2^(-3*x+1))}} \psline(-2,4.2)(8,4.2) \uput[90](5,4.4){$Y=\frac{A}{\alpha+d}$} \pssavepath{B}{\psplot{-0.5}{8}{2^(-x/2+3)-2}} \pssavepath[linestyle=none]{C}{\psplot{-0.5}{8}{0}} \psintersect[name=D, showpoints]{A}{B}\uput{5mm}[-5](D1){$M_3^*,Y^*$} \psintersect[name=E, showpoints]{A}{C}\uput{4mm}[-70](E1){$M_c$} \psdot(4,0)\uput{4mm}[45](4,0){$M_c^*$} \end{pspicture} \end{document}