A line can be described as an ideal zero-width, infinitely long, perfectly straight line (the end of the curve in math includes "straight curves") containing an infinite number of points. In Euclidean geometry, exactly one line can be found, that passes through two points. The offer the shortest line between the points of connection. In two dimensions, two different lines may be either parallel, which means that they never meet, or can intersect at a single point. In three or more dimensions, the lines may also be a bias, which means they do not comply, but do not define a plane. Two planes intersect in more than one line. Three points or more who are on the same line are called collinear. This intuitive notion of a line can be formalized in various ways. If the geometry is axiomatically developed (as in Euclid's Elements and, later, and David Hilbert foundations of geometry), then the lines are not defined at all, but axiomatically characterized by their properties. Any Euclid did define a line of "length without width", it did not use that definition rather obscure in its further development. More abstractly, it is generally thought of the true line as a prototype of a line, and assumes that the points on a line stand in a one-to-one correspondence with the actual figures. However, it could also use the hyperreal numbers for this purpose, or even the long line of topology. In Euclidean geometry, a radius, or half-line, given two distinct points A (originally) and B on the shelves, is the whole point C to the line containing the points A and B like A that is not strictly between C and B. In geometry, a glimmer starts at one point, then forever in the same direction.
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