Assume that there are two distinct parallel lines on a Euclidean plane. Is there a name for the zone between these two lines?
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$\begingroup$ Thanks for suggesting Math.StackExchange as an alternative venue for this question. I agree that this is a relatively basic question about terminology. In this case it so happens that it did arise during research activities. $\endgroup$ – Ioannis Filippidis Jun 4 '17 at 3:19
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Strip.
This is how it is used in complex analysis, where strips are common (as domains for various transcendental functions). I have seen the same term in other contexts...

1$\begingroup$ Thanks! For posterity, Springer's Encyclopedia of Mathematics entry for "strip". $\endgroup$ – Ioannis Filippidis Jun 4 '17 at 3:09