Difference between revisions of "AoPS Wiki:Sandbox"

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

Revision as of 16:50, 29 October 2024

Welcome to the sandbox, a location to test your newfound wiki-editing abilities.

Please note that all contributions here may be deleted periodically and without warning.

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