 | | Re: Tangent between two circles in 3D space?
|
|
(...) Ah Ha! Apparently there were TWO other pulleys you weren't telling us about. (URL) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: lsynthcp community development project setup on sourceforge
|
|
Agreed! -- Steven B. Combs, Publisher Bricks in my Pocket (BimP) (URL) Submission Information: (URL) member #414 "Kevin Clague" <kevin_clague@yahoo.com> wrote in message news:H92o80.D83@lugnet.com... (...) question! (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles in 3D space?
|
|
Don, I'm assuming four pulleys in this case. Two are parallel to each other where the rubber band bends to be non-planar, and two others that pull the band around the two parallel pulleys. Kevin (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles in 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 (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles in 3D space?
|
|
(...) It sounds like you want the intersection point of the 2nd circle with the plane of the first circle. I guess that should be exactly one point unless they're in the same plane. However, I don't see how the rubber band gets back to the first (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles in 3D space?
|
|
(...) 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 (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: lsynthcp community development project setup on sourceforge
|
|
Steven, I debated with myself about adding L3PAO, because it certainly has had a positive effect for people who don't like command lines (and even for some of those that do). LPub has all the capabilities of L3PAO plus a *lot* more, so I felt like (...) (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles in 3D space?
|
|
(...) 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)
|
| |
| | Re: Tangent between two circles in 3D space?
|
|
(...) What have you tried so far? And which tangent? Think about it, there's an infinite number of solutions. Even on a plane there are multiple solutions. Recommendation: start with the book _Computational Geometry in C_ by Joseph O'Rourke. -Erik (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
| |
| | Re: Tangent between two circles 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? Steven (22 years ago, 21-Jan-03, to lugnet.cad.dev)
|
