
05788230
j
2010e.00464
Bailey, A.
A geometric interpretation of equal sums of cubes.
Math. Gaz. 92, No. 523, 813 (2008).
2008
Cambridge University Press, Cambridge; Mathematical Association (MA), Leicester
EN
G40
Pythagoras
generalization in three dimensions
This article arose in looking for a 3dimensional 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.
Ramesh Kapadia (London)