Difference between revisions of "User:Jonjoseph"

Revision as of 21:33, 24 October 2013

$[asy] pair O = (0,0); pair P = (2,0); draw(unitcircle); dot(O); dot(P); label('$P$', P, E); label('$C$', O, W); [/asy]$

Given a circle with center $C$ and a point $P$ that lies outside the circle, bisect circle $C$ with a second circle centered at $P$ .

$[asy] pair O = (0,0); pair P = (2,0); pair A = (0,1); pair B = (0, -1); draw(unitcircle); draw(A--B, red); draw(P--O, red); draw(circle(P, 2.24)); dot(O); dot(P); dot(A); dot(B); label('$P$', P, E); label('$C$', O, W); [/asy]$

Problem from class:

$[asy] import olympiad; import cse5; import geometry; size(150); defaultpen(fontsize(10pt)); defaultpen(0.8); dotfactor=4; pair X = origin; pair Y = (3,0); pair W = X+dir(120); pair Z = Y+dir(120); pair T = (0,2); pair S = T+dir(120); pair U = (3,2); pair V = U+dir(120); label("$X$",X,SW); label("$W$",W,SW); label("$T$",T,NE); label("$S$",S,NW); label("$Z$",Z,SW); label("$Y$",Y,SE); label("$U$",U,E); label("$V$",V,NE); draw(W--X--Y); draw(Y--Z--W,dashed); draw(S--T--U--V--cycle); draw(X--T); draw(W--S); draw(Y--U); draw(Z--V,dashed); draw(W--U,dashed); [/asy]$

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Difference between revisions of "User:Jonjoseph"

Revision as of 21:33, 24 October 2013

@@ Line 26: / Line 26: @@
 label('$P$', P, E);
 label('$C$', O, W);
+</asy>
+Problem from class:
+<asy>
+import olympiad; import cse5; import geometry; size(150);
+defaultpen(fontsize(10pt));
+defaultpen(0.8);
+dotfactor=4;
+pair X = origin;
+pair Y = (3,0);
+pair W = X+dir(120);
+pair Z = Y+dir(120);
+pair T = (0,2);
+pair S = T+dir(120);
+pair U = (3,2);
+pair V = U+dir(120);
+label("$X$",X,SW);
+label("$W$",W,SW);
+label("$T$",T,NE);
+label("$S$",S,NW);
+label("$Z$",Z,SW);
+label("$Y$",Y,SE);
+label("$U$",U,E);
+label("$V$",V,NE);
+draw(W--X--Y);
+draw(Y--Z--W,dashed);
+draw(S--T--U--V--cycle);
+draw(X--T);
+draw(W--S);
+draw(Y--U);
+draw(Z--V,dashed);
+draw(W--U,dashed);
 </asy>