Difference between revisions of "AoPS Wiki:Sandbox"

(asy)
(Sandbox Area)
Line 9: Line 9:
  
 
<asy>
 
<asy>
size(600pt);
+
size(200pt);
 
defaultpen(1);
 
defaultpen(1);
pair A=(0,0), B=(220,0), C=(18.7723,118.523);
+
pair A=(0,0), B=(220,0);
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("A",A,SW);
 
label("<math>B</math>",B,SE);
 
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>
 
</asy>
  

Revision as of 12:39, 13 January 2008

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.

In the computer world, a sandbox is a place to test and experiment -- essentially, it's a place to play.

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(200pt); defaultpen(1); pair A=(0,0), B=(220,0);  label("A",A,SW); label("<math>B</math>",B,SE); [/asy]



test <problem> <contest>AIME</contest> <version>I</version> <year>2007</year> <probnum>3</probnum> <question> Prove that $a^2+b^2=c^2$ 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>

$\mathrm{Test\;of\;mathrm}$ I am also testing dollars signs: $x+3=5$$5+3=x$ Testing dollar signs $x^2 + 3 = 4$

Testing multiple dollar signs: $r^2+2 = 7$ and then, $r^3-2 = 9$

$$ $x^2 + 3 = 4$

Dollar signs. $\dfrac{y}{r}=\sin \theta$ $\frac{m}{n}$ \[cheesecake\] LaTeX didn't show up in the previews because the last } was missing.

$\frac{\sqrt{b^2-4aq}}{2\pi+3\pi+4\pi}$

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]



Sin and cos.jpg

A proof without words that $sin'=cos$ and $cos'=-sin$. --Dustball 19:39, 6 January 2008 (EST)