I have found a very great number of exceedingly beautiful theorems.

To divide a cube into two other cubes, a fourth power, or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.

And perhaps, posterity will thank me for having shown that the ancients did not know everything.

I have discovered a truly marvelous proof of this, which however the margin is not large enough to contain.

I have found a very great number of exceedingly beautiful theorems.

I am more exempt and more distant than any man in the world

It is impossible for any number which is a power greater than the second to be written as a sum of two like powers. I have a truly marvelous demonstration of this proposition which this margin is too narrow to contain.