A line can be described as an ideal zero-width, infinite long, curve perfectly straight line (the curve of the term in the mathematics includes "curves straight lines") that they will count an infinite number of the points. In geometry euclidean, accurately one line can be found that it passes through all colon. The line supplies the shortest connection between the points. In two dimensions, two different lines can be parallel bars, meaning they never meet with, or can themselves only cross themselves in one and points. In the three or more dimensions, lines can also be obliqued, meaning they do not meet with, but also they do not define a plan. Two distinct plans inside cross in the majority a line. The three or more points that if find in the same line are called to collinear. This concept intuitive of a line can formalized in some ways. If geometry will be developed axiomatically (as in elements of Euclid and later in foundations of David Hilbert of geometry), the lines is not defined then in everything, but they are characterized axiomatically for its properties. When Euclid defined a line as the "length without width", did not use this definition to rather more obscure in its delayed development. More abstractly, if thinks generally of the real line as the archetype of a line, and assumes that the points in a line are in a correspondence one-to-one with the real numbers. However, one could also use the numbers hyperreal for this purpose, or same the long line of the topology. In geometry euclidean, a ray, or half-line, given colon distinct (the origin) and the B in the ray, is the game of points C in the line that will count the points and B such that is not strict between C and B. In geometry, a ray starts in a point, goes then on forever in a direction.
Tuesday, February 12, 2008
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