Definition explores how a curve segment interacts with itself during motion, highlighting geometric properties.
Definition 1. A line segment is a curve segment such that when the curve segment is placed in close contact between two copies of itself and the two copies are positioned on either side of it, the curve segment can translate along its own length while the curve segment remains in contact with both copies throughout the motion.
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D1a2a1b2a1a (2026) studied this question.
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