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In geometry, we have concepts such as length (of a 1-dimensional line), area (of a 2-dimensional square) and volume (of a 3-dimensional cube).

What is the general term for these concepts, such that we could say something like: the (general term) of a 2-dimensional object is area; or, the (general term) of a 3-dimensional object is volume?

Somatic
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2 Answers2

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Here's a list of terms that would work

  • Content
  • Area
  • n-Area
  • n-Dimensional Area
  • Generalized Area
  • Volume
  • n-Volume
  • n-Dimensional Volume
  • Generalized Volume
  • Measure
  • Lebesgue Measure
  • I made this a CW so if you want to add more just edit them in. –  Jan 11 '16 at 16:35
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    So can I say something like "the 3-dimensional Lebesque measure of a sphere is its volume, and its 2-dimensional Lebesque measure is its surface area?" – Somatic Jan 11 '16 at 16:38
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    I would say the "Lebesgue measure of the region bounded by a sphere is its volume and the Lesbesgue measure of a sphere is its surface area". Though if it's clear from context (which in this case it is) I wouldn't even write the word Lebesgue. –  Jan 11 '16 at 16:39
  • Some ancient stock. on Mensuration , (to define and measure basic units of length, area and volume.) Text-book on Practical, Solid Or Descriptive Geometry, David Allan Low, Vol 2 – Narasimham Jan 11 '16 at 16:45
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'Mensuration' is the term for measurement of length, area, and volume etc.

Xander Henderson
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johnnypl444
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