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Groups > comp.lang.forth > #13207

Re: intersection of circles

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Krishna Myneni wrote:
> One of the advantages of a computer algebra system is that
> we can easily extend the equations to three dimensions (e.g. the
> intersection of three spheres). My visualization is not quite good
> enough to handle such a problem geometrically.

Triceps 2 actually computes intersection of a circle with a sphere.  
Fortunately, I have the hardware here, so visualizing it is to some 
extent just looking at it :-).

So three spheres, that's two spheres intersecting into a circle (same 
triangle as before, but its degree of freedom is a plane, i.e. it can 
rotate around the (a,b)-(c,d) axis), and then a circle intersecting a 
sphere, giving again two possible solutions.  To intersect circle and 
sphere, you need to cut the sphere with the circle's plane, so it's a 
circle&circle problem again (see above).

Don't ask me for intersecting four 4D hyperspheres.

-- 
Bernd Paysan
"If you want it done right, you have to do it yourself"
http://bernd-paysan.de/

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intersection of circles Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-06-22 17:31 -0700
  Re: intersection of circles mhx@iae.nl (Marcel Hendrix) - 2012-06-23 12:26 +0200
    Re: intersection of circles Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-06-23 04:24 -0700
  Re: intersection of circles Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-06-23 04:28 -0700
  Re: intersection of circles Bernd Paysan <bernd.paysan@gmx.de> - 2012-06-23 22:12 +0200
    Re: intersection of circles Krishna Myneni <krishna.myneni@ccreweb.org> - 2012-06-23 16:06 -0700
      Re: intersection of circles Bernd Paysan <bernd.paysan@gmx.de> - 2012-06-24 02:11 +0200

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