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| {{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line --> | | {{AoPSWiki:Sandbox/header}} <!-- Please do not delete this line --> |
− | In the computer world, a '''sandbox''' is a place to test and experiment -- essentially, it's a place to play.
| + | [[<><><><><><><><> |
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− | This is the AoPSWiki Sandbox. Feel free to experiment here.
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− | Warning: anything you place here is subject to deletion without notice.
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− | === Sandbox Area ===
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− | <asy>
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− | size(600pt);
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− | defaultpen(1);
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− | pair A=(0,0), B=(220,0), C=(18.7723,118.523);
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− | pair D=(72.6,0);
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− | pair Ia=incenter(A,D,C), Ib=incenter(B,D,C);
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− | pair Ta=(24.9758,52.5775),Tb=(86.6196,67.4129);
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− | pair E=IntersectionPoint((Ta--Tb),(C--D));
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− | path Oa=circle(Ia,inradius(A,D,C));
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− | path Ob=circle(Ib,inradius(B,D,C));
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− | pair Da=IP(Oa,A--B), Db=IP(Ob,A--B);
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− | draw(D--C--A--B--C);
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− | draw(Ta--Tb);
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− | draw(Oa);
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− | draw(Ob);
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− | dot(A,linewidth(4));
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− | dot(B,linewidth(4));
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− | dot(C,linewidth(4));
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− | dot(D,linewidth(4));
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− | dot(E,linewidth(4));
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− | dot(Ta,linewidth(4));
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− | dot(Tb,linewidth(4));
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− | label("A",A,SW);
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− | label("<math>B</math>",B,SE);
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− | label("<math>C</math>",C,W);
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− | label("<math>D</math>",D,S);
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− | label("<math>E</math>",E,NNE);
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− | </asy>
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− | | |
− | ----
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− | test
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− | <problem>
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− | <contest>AIME</contest>
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− | <version>I</version>
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− | <year>2007</year>
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− | <probnum>3</probnum>
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− | <question>
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− | Prove that <math>a^2+b^2=c^2</math> in a right triangle.
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− | </question>
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− | <solution>
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− | "Because I said so" -- Pythagoras
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− | </solution>
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− | </problem>
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− | If anybody knows how to embed XML tags in a Wiki page so that they ''don't '' display, but are still there, please post here.
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− | <script type='text/javascript' language='javascript'>
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− | alert("If this display, it seems like a huge security flaw.");
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− | </script>
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− | <math>\mathrm{Test\;of\;mathrm}</math>
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− | I am also testing dollars signs:
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− | <math>x+3=5</math><math>5+3=x</math>
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− | Testing dollar signs <math>x^2 + 3 = 4</math>
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− | Testing multiple dollar signs: <math>r^2+2 = 7</math>
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− | and then,
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− | <math>r^3-2 = 9</math> | |
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− | <math>\</math> <math>x^2 + 3 = 4</math>
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− | Dollar signs.
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− | <math>\dfrac{y}{r}=\sin \theta</math>
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− | <math>\frac{m}{n}</math>
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− | <cmath>cheesecake</cmath>
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− | LaTeX didn't show up in the previews because the last } was missing.
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− | <math>\frac{\sqrt{b^2-4aq}}{2\pi+3\pi+4\pi}</math>
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− | test
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− | testing asy
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− | <asy>
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− | pair A,B;
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− | A=(0,0);
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− | B=(1,1);
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− | draw(A--B);
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− | dot((0,0));
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− | dot((1,1));
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− | label("<math>A</math>",A,W);
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− | label("<math>B</math>",B,N);
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− | </asy>
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− | ----
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− | [[Image:Sin_and_cos.jpg]]
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− | A proof without words that <math>sin'=cos</math> and <math>cos'=-sin</math>. --[[User:Dustball|Dustball]] 19:39, 6 January 2008 (EST)
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− | ----
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