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
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
Peer comment(s):

agree Anton Konashenok
1 hr
Thanks, Anton
agree B D Finch : That's how two planes can cross each other's path without a catastrophe, so long as they are at different altitudes.
1 hr
Thanks, B D
neutral Jennifer Levey : Your reference to lines being 'not parallel' is something of a red herring here.
1 hr
This is not a mathematics course...
disagree DLyons : Somewhere, they have a minimum distance between them, but that isn't called a "crossing". Source for this requested, none provided.
4 hrs
Outside the mathematics realm, you can call it what you want. Inside that realm, there is only one term, and that is cross(ing)
agree Tushar Deep
19 hrs
Thanks, Tushar
agree jccantrell : yep, the crux is to think in three dimensions.
1 day 1 hr
Thanks, jc
agree Phong Le
5 days
Thanks, Phong Le
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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, ...).
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
Tks - but again, 'parallelism' is irrelevant here.
Something went wrong...
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.
Peer comment(s):

neutral B D Finch : I think that your Y lines meet, rather than intersect.
1 hr
Thanks, B! Intersect means just that: meet OR cross; in the US, an intersection doesn't only mean a crossroads!
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
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.
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
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).
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
agree claude-andrew
14 hrs
Thanks Claude-andrew.
agree Piyush Ojha
3 days 56 mins
Thanks Piyush.
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