Apr 23, 2015 13:03
9 yrs ago
3 viewers *
English term
cross vs. intersect
English
Other
Mathematics & Statistics
geometry
Dear colleagues, we have a sentence "The lines never cross or intersect.". What is the difference between "cross" and "intersect", as all Lithuanian dictionaries provide same equivalents for both, while they obviously refer to different phenomena in this particular sentence. Any ideas would be appreciated!
Responses
4 +4 | See explanation | Henk Sanderson |
4 +3 | see answer below. | DLyons |
4 +1 | 'intersect' is a special case of 'cross' | Jennifer Levey |
4 | X and Y | Tony M |
Responses
+4
7 mins
Selected
See explanation
It is a concept of analytic geometry.
Lines that are not parallel but lie in the same plane intersect; when they are not parallel and do not lie in the same plane, they cross
Lines that are not parallel but lie in the same plane intersect; when they are not parallel and do not lie in the same plane, they cross
4 KudoZ points awarded for this answer.
Comment: "Selected automatically based on peer agreement."
+1
1 hr
'intersect' is a special case of 'cross'
If two lines 'cross', there is a point where their X and Y coordinates are equal.
Intersection occurs in the special case where the Z coordinates of the lines are also equal, at point X,Y.
Note that this is true of any two lines, regardless of their form (straight, curved, irregular, ...).
Intersection occurs in the special case where the Z coordinates of the lines are also equal, at point X,Y.
Note that this is true of any two lines, regardless of their form (straight, curved, irregular, ...).
Peer comment(s):
agree |
Henk Sanderson
: More generally: if two lines are not parallel and their minimum distance is zero, the lines intersect; otherwise they cross//as I said before, this is not a mathematics course...
14 mins
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Tks - but again, 'parallelism' is irrelevant here.
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22 mins
X and Y
In a letter X, the lines intersect, but they also cross
In a letter Y, the lines intersect in the middle, but do not cross (i.e. 'carry on out the other side'!)
This is a more everyday explanation which might help in some contexts.
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Note added at 2 heures (2015-04-23 15:10:10 GMT)
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Intersection - math word definition - Math Open Reference
www.mathopenref.com/intersection.html
Definition of the intersection of two lines. ... two lines meet or cross. Try this Drag any orange dot at the points A,B,P or Q. The line segments intersect at point K.
In a letter Y, the lines intersect in the middle, but do not cross (i.e. 'carry on out the other side'!)
This is a more everyday explanation which might help in some contexts.
--------------------------------------------------
Note added at 2 heures (2015-04-23 15:10:10 GMT)
--------------------------------------------------
Intersection - math word definition - Math Open Reference
www.mathopenref.com/intersection.html
Definition of the intersection of two lines. ... two lines meet or cross. Try this Drag any orange dot at the points A,B,P or Q. The line segments intersect at point K.
Peer comment(s):
neutral |
B D Finch
: I think that your Y lines meet, rather than intersect.
1 hr
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Thanks, B! Intersect means just that: meet OR cross; in the US, an intersection doesn't only mean a crossroads!
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neutral |
Jennifer Levey
: If we stick to Asker's context - which is not US highway jargon - I think you're confusing 'intersect' with 'intercept'.// At the top of the question it says: 'Mathematics & Statistics / geometry'.
1 hr
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We do not know for sure that Asker's context has anything to do with mathematics or geometry; I am not confusing anything this is a perfectly everyday meaning of the word.
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neutral |
Henk Sanderson
: In the context of mathematics, the answer is nonsense//Just look in the header of the question for the context...
1 hr
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Maybe — but then, you're over-interpreting by assuming this might be a mathematical context in the first place!
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+3
4 hrs
see answer below.
The English was written either by someone without any real understanding of Mathematics or, more likely, to give a more "layman's" term to help explain the more technical term "intersect".
"cross" is just a redundant synonym for the mathematical term "intersect" - there's no difference between the two terms (except they have slightly different domains of usage).
"cross" is just a redundant synonym for the mathematical term "intersect" - there's no difference between the two terms (except they have slightly different domains of usage).
Peer comment(s):
agree |
Tony M
: Yes, that seems a more plausible explanation in fact — with the sense of 'or in other words' etc.
23 mins
|
Thanks Tony. I suspect it comes from somewhere like e.g. http://www.platinumgmat.com/gmat_study_guide/lines
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agree |
claude-andrew
14 hrs
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Thanks Claude-andrew.
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agree |
Piyush Ojha
3 days 56 mins
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Thanks Piyush.
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