Subject:
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Re: Tangent between two circles in 3D space?
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Newsgroups:
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lugnet.cad.dev
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Date:
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Tue, 21 Jan 2003 16:47:15 GMT
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Viewed:
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659 times
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In lugnet.cad.dev, Don Heyse writes:
> In lugnet.cad.dev, Steven Combs writes:
> > In lugnet.cad.dev, Kevin Clague writes:
> > > Anyone know how to find out the tangent between two cicles in 3D space?
> >
> > Wouldn't they have to be on the same plane in order to find the tangency? Or
> > did you mean the tangency of two spheres?
>
> I'm sure you're probably looking for a solution with x,y,z coords, but
> just in case, the 2D solution is on page 7 of Graphics Gems, and also
> here:
>
>
> http://www.experts-exchange.com/Programming/Game_Development/AI_Physics/Q_11452678.html
>
> I think you should be able to transform your circles into the x,y
> plane with one center at the origin, then solve it the Graphics Gems
> way, and finally transform the solution line segments back into 3D
> space.
Don, this is what I do for planar rubber bands and it works great if the two
pulleys are in the same plane. But I can imagine a four pulley
configuration where the first pulley is parallel to the YZ plane, the second
pulley is parallel to the XY plane (I suppose the first pulley would have to
intersect the plane of the second pulley tangentially), which leads to a
third pulley who's plane must intersect tangentially with the second
pulley.... blah bla blah.... I think I might have talked myself into
something at least conceptually.
There is a tangent between the two circles if each circle intersects the
other circle's plane tangentially...... The intersection of the two planes
form a line. Checking to see if the line intersects each circle only one
time would tell me if the line is tangential to both circles, and tell me
the points of intersection.
Well, I think I know what to do.
Thanks!
Kevin
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Message is in Reply To:
 | | Re: Tangent between two circles in 3D space?
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| (...) I'm sure you're probably looking for a solution with x,y,z coords, but just in case, the 2D solution is on page 7 of Graphics Gems, and also here: (URL) think you should be able to transform your circles into the x,y plane with one center at (...) (21 years ago, 21-Jan-03, to lugnet.cad.dev)
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