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  "body": "\n## Summary\n\nThe line segment between two points is the set of all points on the straight path from one to the other, endpoints included.\nIn a real vector space it is the set of [[convex combinations|21SXYJYC59]] of the two points.\nA set is [[convex|02AS45T3H9]] exactly when it contains the segment between any two of its points, so segments are the building blocks of convexity.\n\n## Explanations\n\n### L1 human\n\nTake two points and stretch a string tightly between them.\nThe string traces the line segment.\nIn coordinates, the segment from $x$ to $y$ is swept out by $(1 - t) x + t y$ as $t$ runs from $0$ to $1$.\nFor example, the segment from $(0, 0)$ to $(2, 2)$ in the plane is the set of points $(s, s)$ with $0 \\le s \\le 2$.\n",
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