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Re: intersection of two circles

  • To: mathgroup at smc.vnet.net
  • Subject: [mg105864] Re: intersection of two circles
  • From: monochrome <bayard.webb at gmail.com>
  • Date: Tue, 22 Dec 2009 04:05:29 -0500 (EST)
  • References: <hgno39$55l$1@smc.vnet.net>

On Dec 21, 4:01 am, Felix <f.be... at gmx.de> wrote:
> Hey,
> I m already hours busy with trying to find a way to indicate the coordina=
tes of the point(s) where two circles intersect.
> Does Mathematica have a function that gives me the points of intersection=
 if my input are the coordinates (in 2D) and the radii.
> Thanks,
>
> Felix
Something like this?

Input:
c1=(x-1/2)^2+y^2==1;
c2=x^2+(y-1/2)^2==1;
Reduce[{c1,c2},{x,y}]

Output:
(x==1/4 (1-Sqrt[7])||x==1/4 (1+Sqrt[7]))&&y==x


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