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Prove that Euclidean area is in square units

  1. Nov 10, 2009 #1
    Where is it proven that the unit of area in Euclidean geometry must be a square with side=1? Or is it an axiom? Why not triangles or circles to represent area?
     
  2. jcsd
  3. Nov 10, 2009 #2
    That's the way it is defined. We use a square because it's most convenient.
     
  4. Nov 10, 2009 #3

    HallsofIvy

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    Just seconding hamster143- the unit of area is defined as the area of a square one unit length on a side. Then we prove the formulas for areas of other figures in terms of that.
     
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