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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Wed, 22 Jan 2003 09:47:13 GMT
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Viewed:
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819 times
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Hi Kevin,
I think common tangent to circles is too restrictive, since rubber belts
tolerate quite a lot of misalignment.
(http://www.lego.com/constructopedia/entry.asp?letter=P&id=1)
So the problem should be reformulated as:
Two circles in 3D space define two cylinders orthogonnally extruded from
them. Among tangents common to these cylinders, find the ones for which
tangency points are located on the circles.
Ouch ! I need some Aspinin now ;o)
Philo
www.philohome.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.
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Message has 1 Reply:
 | | Re: Tangent between two circles in 3D space?
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| (...) Yes. This *is* the ultimate (and probably universal) solution, although we probably need to be able to find one of four cylinders between any two circles in 3D space. You are thinking in terms of pulleys always on the outside of the band. With (...) (22 years ago, 22-Jan-03, to lugnet.cad.dev)
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Message is in Reply To:
| | Re: Tangent between two circles in 3D space?
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| (...) With two circles in the same plane you can have four possible tangent lines. LSynthcp uses this to calculate straight line segments of rubber bands around pulleys. In 3D space you can have circles that are tangent along one line. Imagine a (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
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