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authorNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
committerNorbert Preining <norbert@preining.info>2019-09-02 13:46:59 +0900
commite0c6872cf40896c7be36b11dcc744620f10adf1d (patch)
tree60335e10d2f4354b0674ec22d7b53f0f8abee672 /graphics/asymptote/examples/shellsqrtx01.asy
Initial commit
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+import graph3;
+import solids;
+size(0,150);
+currentprojection=orthographic(1,0,10,up=Y);
+pen color=green;
+real alpha=-240;
+
+real f(real x) {return sqrt(x);}
+pair F(real x) {return (x,f(x));}
+triple F3(real x) {return (x,f(x),0);}
+
+path p=graph(F,0,1,n=30,operator ..)--(1,0)--cycle;
+path3 p3=path3(p);
+
+revolution a=revolution(p3,X,alpha,0);
+
+render render=render(compression=0,merge=true);
+draw(surface(a),color,render);
+draw(p3,blue);
+
+surface s=surface(p);
+draw(s,color,render);
+draw(rotate(alpha,X)*s,color,render);
+
+xaxis3(Label("$x$",1),xmax=1.25,dashed,Arrow3);
+yaxis3(Label("$y$",1),Arrow3);
+
+dot("$(1,1)$",(1,1,0));
+arrow("$y=\sqrt{x}$",F3(0.8),Y,0.75cm,red);
+
+real r=0.4;
+draw(F3(r)--(1,f(r),0),red);
+real x=(1+r)/2;
+
+draw("$r$",(x,0,0)--(x,f(r),0),X+0.2Z,red,Arrow3,PenMargin3);
+draw(arc(1.1X,0.4,90,90,3,-90),Arrow3);