Here is a bogus mathematical approach.
y1 = 1 and y2 = 2.
As x --> ∞, the limit of y1 is 1 and hte limit of y2 is 2.
y1/x --> 0 and y2/x --> 0
So as x --> ∞
y1 - y2 --> 0
hence y1 eventually intersects y2.
So you see, that's why parallel lines meet at infinity.
2007-12-18 01:03:04
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answer #1
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answered by Dr D 7
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Parallel lines never meet at Infinity Also.
The will keep running even beyond infinity.
But Perfect parallel line and parallelism are just a Theoretical concept.
2007-12-17 23:30:36
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answer #2
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answered by kay kay 4
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Youre suitable to be perplexed... not which you're. as a results of fact youre not perplexed... you get carry of the factor precisely substitute into it Euclid? Who defined parallel lines as 2 lines that met at infinity. It is clever to me... yet doesnt... on the comparable time. in the event that they meet, they arent parallel. yet while they meet at infinity then they meet basically after a limiteless distance.... and countless distance never happens... and so assembly never happens. Its basically a form of difficult math definitions... you recognize those Im speaking approximately... the place they make it extra confusing that it must be... through employing an in reality synonymous definition that may not clever to the layman. If parallel lines meet, ever, then they arent parallel... or infinity is a procedures closer that predicted. in reality, its a definition that assumes all lines in Euclidean area will ultimately meet, reckoning on relative slope. It only specifies the area (at infinity) to be someplace unreachable.
2016-12-11 08:24:58
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answer #3
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answered by Anonymous
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Any two lines how so ever appearing to be parallel will have some angle between them(tending towards 0) and they will meet at some large distance which tends to infinity .
but acctually parallel lines (having 0 angle between them) will never meet.
2007-12-18 20:21:35
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answer #4
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answered by Joshua 2
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They do not. You're probably refering to the fact that they *appear* to in a perspective drawing (like looking down a railroad track). The apparent (angular) separation of any two points with constant separation drops to zero as they recede to infinity from the observer.
2007-12-18 01:56:36
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answer #5
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answered by Dr. R 7
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If you are talking about non-Euclidean Geometry, then yes, they do meet. It all depends on the particular geometric system you are considering as to whether this point of intersection consists of multiple points, or multiple classes of lines. This is easiest to do in hyperbolic space, which requires discussion and a level of math way beyond what can be effectively communicated here.
However, in "normal" Euclidian Geometry, they never meet.
2007-12-18 00:05:52
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answer #6
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answered by Charles M 6
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Parallel lines never meet that's what makes it parallel it wouldn't be parallel if it ardently met!
2007-12-17 23:32:25
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answer #7
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answered by Anonymous
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Parallel lines physically does not meet otherwise it is no longer parallel...it is our ability with our naked eyes that we can not see farther than we could...
2007-12-17 23:41:25
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answer #8
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answered by Ronaldo d 1
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when u draw parellel lines till infinity you will get tired and your lines are little diverted...in to medial side - it meets..if lateral side- it won't.he he he
2007-12-17 23:39:23
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answer #9
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answered by Anonymous
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