
A line can be described like ideal zero-width, infinitely long, curves perfectly right (the curve of limit in mathematics includes "the right curves") containing an infinite number of points. In the Euclidean geometry, exactly one can find a line which crosses two unspecified points. The line provides the shortest connection between the points. In two dimensions, two different lines can be parallel, meaning they never meet, or can intersect with one and only one point. In three dimensions or more, lines can also be oblique, meaning they do not meet, but also do not define a plane. Two distinct planes intersect inside at most a line. Three points or more which are on the same line call located on the same line. This intuitive concept of a line can be formalized in various manners. If the geometry is developed axiomatically (as in the elements of EUCLID and later in bases of David Hilbert of the geometry), then of the lines are not defined whole, but are characterized axiomatically by their properties. While EUCLID defined a line as "a length without width", it did not employ this rather obscure definition in its posterior development. More abstractly, one usually thinks of the true line like prototype of a line, and supposes that the points on a line are held in a linear correspondence with truths numbers. However, one also could employ the hyperreal numbers for this purpose, or even the long line of topology. In the Euclidean geometry, a ray, or the half-line, given two distinct points A (the origin) and B on the ray, is the whole of points C on the line containing points A and B such as A is not strictly between C and B In the geometry, a ray starts at a point, goes then above for always in a direction.
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