Do Parallel Lines Intersect?
Date: 3/1/96 at 13:54:45 From: Ruthven-Ayrshire Student Subject: Parallel Lines I am a junior high mathematics teacher, and one of my classes is studying parallel lines. I have heard once that parallel lines do in fact intersect. I have brought the subject up in class and the students wanted to find any information about it. If you can help us in any way, please respond.
Date: 3/1/96 at 14:15:38 From: Doctor Ethan Subject: Re: Parallel Lines Hello, Well, I am afraid that parallel lines do not intersect. In fact, that is the definition of parallel lines in a plane. I can think of two things that might be confusing this issue. The first has to do with perspective drawing. In perspective drawing (imagine standing on straight railroad tracks that are going off into the distance), parallel lines appear to intersect. The other thing that you may be thinking about is that in some non-Euclidean geometry, parallel lines are not the same distance apart the whole time. However, I would not mention this to your students until you have time to read a little about hyperbolic geometry. -Doctor Ethan, The Math Forum
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