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There are many different meanings to the word base in mathematics and the answer will depend on the context. Some examples of base are:

  • Lowest side of a plane figure. (Except that in the case of vertical trapezia for numerical integration, the base is vertical and the height is horizontal!).
  • Lowest face of a polyhedron. However, in the case of prisms, the bases are vertical.
  • The number of different digits in the counting system (decimal, octal, binary bases etc).
  • The number which is raised to a given exponent to equal another given number (in logariths/exponentials).
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