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Re: Pierre Fermat ever stack rectangles? If so, then he likely had a proof of FLT #1470 Correcting Math
Posted:
Jan 27, 2014 5:00 AM


Since FLT is such an easy proof with condensed rectangles where a number is decomposed into its cofactors as the sides of the rectangle, and the proof mechanism is that in a given particular exponent, we cannot have a C in A+B=C, for if even it misses by a factor of 2X and if odd misses by a factor of 3X because we are confined to a single particular exponent.
Apparently Fermat had worked on stacking rectangles. Anyone familar with the "Figurate Numbers" and when Fermat wrote his famous quote in the margin of a book? Because if Fermat had worked on stacking rectangles, it is likely he would have had a proof of his FLT.
Now I did some searching whether Fermat ever stacked rectangles and came upon these items:
[PDF] Figurate numbers and sums of numerical powers  Mathematical ... www.maa.org/.../figuratessumsproject.p... Mathematical Association... by D Pengelley  Related articles Frenchman Pierre de Fermat (1601?1665), wrote to his correspondent Gilles Personne de .... Carry out an analysis with sums of rectangles to approximate the area /. 1. 0 ... We see that its vertical layers consist of n triangular numbers stacked.
[PDF] Figurate numbers and sums of numerical powers  Department of ... www.cs.nmsu.edu/.../sumsofpowersep3... New Mexico State Univer... by D Pengelley  Related articles Frenchman Pierre de Fermat (1601n1665), wrote to his correspondent Gilles Persone de .... Carry out an analysis with sums of rectangles to approximate the area /. $. # ... We see that its vertical layers consist of n triangular numbers stacked.

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