Difference between revisions of "User talk:Etodemerzel"
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| − | <asy> import three; | + | <asy>import three; |
| − | + | size(8cm,0); | |
| − | + | real radius=1, theta=37, phi=60; | |
| − | + | ||
| − | + | currentprojection=perspective(4,1,2); | |
| − | + | ||
| − | + | // Planes | |
| − | + | pen bg=gray(0.9)+opacity(0.5); | |
| − | + | draw(surface((1.2,0,0)--(1.2,0,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); | |
| − | + | draw(surface((0,1.2,0)--(0,1.2,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); | |
| + | draw(surface((1.2,0,0)--(1.2,1.2,0)--(0,1.2,0)--(0,0,0)--cycle),bg,bg); | ||
| + | |||
| + | real r=1.5; | ||
| + | draw(Label("$x$",1), O--r*X, Arrow3(HookHead3)); | ||
| + | draw(Label("$y$",1), O--r*Y, Arrow3(HookHead3)); | ||
| + | draw(Label("$z$",1), O--r*Z, Arrow3(HookHead3)); | ||
| + | label("$\rm O$", (0,0,0), W); | ||
| + | |||
| + | triple pQ=radius*dir(theta,phi); // Point Q | ||
| + | // triple pQ=radius*expi(radians(theta),radians(phi)); // Point Q | ||
| + | draw(O--radius*dir(90,phi)^^O--pQ, dashed); | ||
| + | dot("$R*\mathrm{dir}\left(\theta,\phi\right)$",pQ); | ||
| + | |||
| + | // Arcs | ||
| + | draw("$\theta$", reverse(arc(O,0.5*pQ,0.5*Z)), N+0.3E, Arrow3(HookHead2)); | ||
| + | draw("$\phi$", arc(O,0.5*X,0.5*(pQ.x,pQ.y,0)), N+0.3E, Arrow3(HookHead2)); | ||
| + | |||
| + | path3 p3=O--arc(O,radius,0,phi,90,phi)--cycle; | ||
| + | draw(surface(p3), blue+opacity(0.5)); | ||
| + | |||
| + | </asy> | ||
Revision as of 11:43, 19 January 2011
![[asy]import three; size(8cm,0); real radius=1, theta=37, phi=60; currentprojection=perspective(4,1,2); // Planes pen bg=gray(0.9)+opacity(0.5); draw(surface((1.2,0,0)--(1.2,0,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); draw(surface((0,1.2,0)--(0,1.2,1.2)--(0,0,1.2)--(0,0,0)--cycle),bg,bg); draw(surface((1.2,0,0)--(1.2,1.2,0)--(0,1.2,0)--(0,0,0)--cycle),bg,bg); real r=1.5; draw(Label("$x$",1), O--r*X, Arrow3(HookHead3)); draw(Label("$y$",1), O--r*Y, Arrow3(HookHead3)); draw(Label("$z$",1), O--r*Z, Arrow3(HookHead3)); label("$\rm O$", (0,0,0), W); triple pQ=radius*dir(theta,phi); // Point Q // triple pQ=radius*expi(radians(theta),radians(phi)); // Point Q draw(O--radius*dir(90,phi)^^O--pQ, dashed); dot("$R*\mathrm{dir}\left(\theta,\phi\right)$",pQ); // Arcs draw("$\theta$", reverse(arc(O,0.5*pQ,0.5*Z)), N+0.3E, Arrow3(HookHead2)); draw("$\phi$", arc(O,0.5*X,0.5*(pQ.x,pQ.y,0)), N+0.3E, Arrow3(HookHead2)); path3 p3=O--arc(O,radius,0,phi,90,phi)--cycle; draw(surface(p3), blue+opacity(0.5)); [/asy]](http://latex.artofproblemsolving.com/f/c/b/fcb975a427996b95f5d93f959f5d76cc3153a3b7.png)
