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...e same radius as the sphere's—an intersection of the sphere with a ''line'' through its center—is a [[great brace]]. ...in a plane (sphere) and a point (great brace) in the plane but not on that line, there exists not [[one]] but [[zero]] parallel lines through it (since any

...ated this way is the [[Cantor set]], generated by starting with a finite [[line segment]], then removing the middle third, then removing the middle third o ...roduced by taking a particular [[curve]] (usually one composed of straight line segments) and replacing parts of it with smaller, similar curves, then iter

...]] [[coordinate]]s necessary to specify a particular [[point]] on it. A [[line]] has [[linespace|one dimension]], because there is only one possible direc ...ture]]) embedded within a space of higher dimension. A 1-plax is simply a line; a 2-plax is a [[plane (geometry)|plane]], and a 3-plax is a [[realm]]. A

...[turn of the millennium|turn-of-the-millennium]] Earth, by far the longest straight border is (most of) the border between the [[United States of America|Unite ...states), and a number of states are completely surrounded by such straight-line borders—the most extreme cases being [[Colorado]] and [[Wyoming]], wh