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Terry
Posts:
7
Registered:
1/25/05


Re: Spheres Intersection
Posted:
Jun 21, 2005 9:40 AM


Well for third circle H(x,y):= (xa_3)^2 + (yb_3)^2  (r_3)^2 , all of them intersect at a common point then H(x,y)=0 and F(x,y)  G(x,y)=0 and F(x,y)  H(x,y) =0 ..etc
Extending this to spheres would be adding another dimension z then H(x,y,z) would be (xa_3)^2 + (yb_3)^2 + (zc_3)^2 (r_3)^2 .
But i don't understand even in the case of circles or spheres, whether they intersect if yes then how will i find the point of intersection.
One way would be solving for F(x,y)= G(x,y) then we get a equation of a line something like ux + vy + c=0 where u,v,c can be got. Now i can get the intersection of line and circle . I substitute the value of y into x and then solve for quadratic . The condition would be b^2 4ac for the quadratic.
Is there any way to do this for n spheres. It is getting tedious. Please throw some light or techniques.



