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Home > Science > Mathematics   »   do parallel lines ever meet?

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Old Apr 4, 2009, 10:46 AM
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do parallel lines ever meet?

OKay, consider this:

If 2 parallel lines fall into a black hole, will the meet (or intersect)? Since black hole squeeze space and time together, I think that the parallel line will eventually meet.

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Old Apr 4, 2009, 11:14 AM   #2  
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You don't need something as exotic as black holes - 2 parallel lines on the equator of the earth will meet at the poles. It's a result of the earth's positively curved geometry.

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Stratmando disagrees: A car driving around the equator leaves 2 parallel lines and DON'T meet at the poles. Balancer
ZoeMarie disagrees: but then they're not parallel
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Old Apr 4, 2009, 11:22 AM   #3  
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wow! thanks
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Old Apr 4, 2009, 02:15 PM   #4  
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Quote:
Originally Posted by survivorboi View Post
If 2 parallel lines fall into a black hole, will the meet (or intersect)? Since black hole squeeze space and time together, I think that the parallel line will eventually meet.
Parallel lines only exist in Euclidean space. There is no concept of black holes in Euclidean space. The squeezing of space and time has not been defined in that space.

By definition, parallel lines never meet. Your hypothetical question is not possible to answer.
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Old Apr 6, 2009, 12:13 PM   #5  
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Quote:
Originally Posted by Capuchin View Post
You don't need something as exotic as black holes - 2 parallel lines on the equator of the earth will meet at the poles. It's a result of the earth's positively curved geometry.
In the case of lines intesecting at the poles, then they wernt really parallel in the first place.

The very definition of "parallel" means that they dont intersect

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ZoeMarie agrees: exactly!
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Old Apr 6, 2009, 01:01 PM   #6  
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Quote:
Originally Posted by ngasnier View Post
In the case of lines intesecting at the poles, then they wernt really parallel in the first place.

The very definition of "parallel" means that they dont intersect
You're right, but i was trying to explain it simply and perhaps muddled my terms - i meant 2 lines on the equator that initially appeared to be parallel - ie 2 lines at right angles to the equator.

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bones252100 disagrees: Still Wrong! They are curved lines; nor parallel
Unknown008 agrees: Balancer. They APPEAR to be parallel. That was the concept bones252100.
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Old Jun 2, 2009, 11:45 AM   #7  
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Quote:
Originally Posted by stratmando
A car driving around the equator leaves 2 parallel lines and DON'T meet at the poles. Balancer
And? The lines have to be parallel at the equator, but neither of the lines touch the equator. This is not the case i specified..
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Old Jun 2, 2009, 11:57 AM   #8  
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if two lines are TRULY parallel, they will never meet or intersect each other... however, they may loop back around to meet themselves
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Old Jun 2, 2009, 01:52 PM   #9  
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As we know, parallel lines do not intersect in Euclidean space. But, in positively curved

spacetime, they do. In negatively curved spacetime, they get farther apart.
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Old Jun 2, 2009, 01:57 PM   #10  
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parallel lines must be located in the same plane. the earth is round...
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