Re: intersection of two circles
- To: mathgroup at smc.vnet.net
- Subject: [mg105870] Re: [mg105850] intersection of two circles
- From: Andrzej Kozlowski <akoz at mimuw.edu.pl>
- Date: Tue, 22 Dec 2009 04:06:41 -0500 (EST)
- References: <200912211201.HAA05285@smc.vnet.net>
On 21 Dec 2009, at 21:01, Felix wrote:
> Hey,
> I m already hours busy with trying to find a way to indicate the
coordinates 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
>
In principle, of course.
eq1 = (x - 2)^2 + (y - 3)^2 == 4;eq2 = (x - 1)^2 + (y - 4)^2 ===
9;
{x, y} /. Solve[{eq1, eq2}]
{{(1/4)*(11 - Sqrt[23]), (1/4)*(9 - Sqrt[23])},
{(1/4)*(11 + Sqrt[23]), (1/4)*(9 + Sqrt[23])}}
??
Andrzej Kozlowski
- References:
- intersection of two circles
- From: Felix <f.becke@gmx.de>
- intersection of two circles