User:Jonjoseph

Revision as of 23:57, 19 September 2013 by Jonjoseph (talk | contribs)

[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]