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Subject: 
Re: Tangent between two circles in 3D space?
Newsgroups: 
lugnet.cad.dev
Date: 
Wed, 22 Jan 2003 21:36:01 GMT
Viewed: 
810 times
  
In lugnet.cad.dev, Anders Isaksson writes:
"Kevin Clague" <kevin_clague@yahoo.com> skrev i meddelandet
news:H92o0p.CGB@lugnet.com...

In 3D space you can have circles that are tangent along one line.  Imagine • a
vertical bar that has a circle attached tangentially, but can turn around
the bar, and slide up and down the bar.  Attach another circle to the bar
with the same capabilities.  You can hold one circle fixed, and place the
other circle an infinite number of places and orientations and still be
tangent to the line.

Line = Intersect(C1.Plane, C2.Plane)
if (Dist(C1.Center, Line) = C1.Radius) and (Dist(C2.Center, Line) =
C2.Radius) ...

(Or have I misunderstood?)

This looks great!  This is what I was trying say the other day during my
ah,hah! moment, but not so tersely.  Now I just need to know how to calculate
the intersection of the line and each circle and I'll be all set I think.  I'll
do some scrougin on that.

Thanks,
Kevin
--
Anders Isaksson, Sweden
BlockCAD:  http://user.tninet.se/~hbh828t/proglego.htm
Gallery:   http://user.tninet.se/~hbh828t/gallery/index.htm



Message has 2 Replies:
  Re: Tangent between two circles in 3D space?
 
Kevin, I have been watching this thread with great interest and it is really fun to watch the community pitch in and assist you. Would you do me a favor. When you finally have the solution, could you summarize in a post? I plan on using this as a (...) (21 years ago, 23-Jan-03, to lugnet.cad.dev)
  Re: Tangent between two circles in 3D space?
 
"Kevin Clague" <kevin_clague@yahoo.com> skrev i meddelandet news:H94xC1.11z@lugnet.com... (...) calculate (...) If the condition above (Dist(...) etc.) holds, then it's just a matter of projecting the circle centers onto the line, ie. solve for a (...) (21 years ago, 23-Jan-03, to lugnet.cad.dev)

Message is in Reply To:
  Re: Tangent between two circles in 3D space?
 
"Kevin Clague" <kevin_clague@yahoo.com> skrev i meddelandet news:H92o0p.CGB@lugnet.com... (...) a (...) Line = Intersect(C1.Plane, C2.Plane) if (Dist(C1.Center, Line) = C1.Radius) and (Dist(C2.Center, Line) = C2.Radius) ... (Or have I (...) (21 years ago, 21-Jan-03, to lugnet.cad.dev)

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