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Difference between revisions of "Square"

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An equal-sided [[Rectangle|rectangle]].
 
An equal-sided [[Rectangle|rectangle]].
  
The square of a number <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086910/s0869101.png" /> is the product <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086910/s0869102.png" />; so called because this product expresses the area of a square with side length <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086910/s0869103.png" />.
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The square of a number $a$ is the product $a\cdot a=a^2$; so called because this product expresses the area of a square with side length $a$.
  
  
  
 
====Comments====
 
====Comments====
The expression  "square"  for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086910/s0869104.png" /> is (just as  "cubecube"  for <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/s/s086/s086910/s0869105.png" />) a remnant of the geometric view on numbers of the old Greeks.
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The expression  "square"  for $a\cdot a$ is (just as  "cube"  for $a\cdot a\cdot a$) a remnant of the geometric view on numbers of the old Greeks.

Latest revision as of 15:36, 9 April 2014

An equal-sided rectangle.

The square of a number $a$ is the product $a\cdot a=a^2$; so called because this product expresses the area of a square with side length $a$.


Comments

The expression "square" for $a\cdot a$ is (just as "cube" for $a\cdot a\cdot a$) a remnant of the geometric view on numbers of the old Greeks.

How to Cite This Entry:
Square. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Square&oldid=11637
This article was adapted from an original article by BSE-3 (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article