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Can two skew lines in parallel planes ever intersect?
- Thread starter the_alcatraz
- Start date
chris302001
Banned
That's just something stupid parents tell their kids when they dont have a clue...
It all depends on the geometry. If you're talking about a differentiable manifold or something, then the geometry is intrinsic and locally defined by a metric. Curvature and topology are some of the most weird and difficult areas in mathematics.
If you're assuming a well-behaved system with infinitely long planes in euclidean 2-space, then I believe it's true. (I think it might always be true if you reduce the system enough.)
The biggest thing in pure mathematics is defining the system. I would think it would be relatively straightforward to formulate a layman's "proof" in E2 using a few postulates from high school geometry. You could probably extend the proof to higher dimensions, too, since they're all orthogonal.
Samoth, I'm dealing with solid geometry and Desargues' theorem. Trying to uderstand how rules of geometry change in projective space.
Care to elaborate?
JR76
New member
TITCR! Skewness of lines is incidental. It's all about "da planes" as they might have said on "Fantasy Island" and the fact that they are parallel.
Creepusmaximus
New member
It all depends on the geometry. If you're talking about a differentiable manifold or something, then the geometry is intrinsic and locally defined by a metric. Curvature and topology are some of the most weird and difficult areas in mathematics.
If you're assuming a well-behaved system with infinitely long planes in euclidean 2-space, then I believe it's true. (I think it might always be true if you reduce the system enough.)
The biggest thing in pure mathematics is defining the system. I would think it would be relatively straightforward to formulate a layman's "proof" in E2 using a few postulates from high school geometry. You could probably extend the proof to higher dimensions, too, since they're all orthogonal.
Unless you were breaking the speed of light at the time there by warping the planes.
chris302001
Banned
ololol @ you and your light speed breaker...... olololol!
And your third dimension too.....its so cute.
Really, I got nothin........
U
UA_Iron
Guest
They intersect at infinity.
Creepusmaximus
New member
Hey Chris had a linkin log today, want to hear about that??
So in other words, they don't?
also is it at positive infinity or negative infinity?
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