id: 05788230
dt: j
an: 2010e.00464
au: Bailey, A.
ti: A geometric interpretation of equal sums of cubes.
so: Math. Gaz. 92, No. 523, 8-13 (2008).
py: 2008
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: G40
ut: Pythagoras; generalization in three dimensions
ci:
li:
ab: This article arose in looking for a 3-dimensional equivalent of the theorem
of Pythagoras. One approach is to consider the diagonal of a
rectangular box. Another approach, which is explored in this article is
to focus on an equation where the sum of two integer cubes is equal to
the sum of two other integer cubes. Geometrical diagrams involving
isosceles triangles are developed to represent such equations.
rv: Ramesh Kapadia (London)