prove 2 views are enough to show parallelism b/t 2 lines

[Guest]

How do you prove that 2 views of 2 lines in space are sufficient to determine that they are parallel?

 

[stapel]

By "space", do you mean "in three dimensions"? What do you mean by "views"? What is the definition? Are you not given equations for the lines?

Thank you.

Eliz.

 

[Guest]

Yes by space I mean 3D, "views" are any 2D view. There is no equation for the lines. This is a very abstract problem if you havent noticed. It's not for any geometry class or anything, it's actually for a drawing/design class.

 

[pka]

Yes by space I mean 3D, "views" are any 2D view.

It took me a moment to understand the phrase “3D, "views" are any 2D view.’
But I think it means at if a plane, which is a 2D view”, insects both lines. Now we have two points one on each line one on each line. Then using two parallel planes getting two sets of points, if the distance between the points in the same set is the same then the given lines are parallel.