An Additional character in the adventure...
If you build a square upon my nose,
Also build a square where my nose flows,
And build a square upon my back,
You'll find the only thing that you lack...
In comparing the square on my nose
To the one where my nostril flows plus
The one built upon my back-is
The sign, a dash upon a stack (=)
That is to recite, that he who knows
How to make a square upon my nose
Will find it equal to the plum
Of rear and bottom squares, the sum!
That is, I mean to say that triangles right
Have a hypotenuse, base and height
That are akin; related this way:
Square root of B2 plus H2 equals A!
And furthermore, every number represents
A real length of line, which
When called hypotenuse is like this nose - mine!
And, having a natural number for a nose
Is really quite a wonderful pose!
But, considering the square root of a nose
Depends on which nose you chose,
Because if you've got a nose that's perfect
A pair of integers will result.
But if your nose is t'other kind,
Rota's dilemma will be your salt;
Speaking numbers to and fro
Never repeating and never ending
To infinity, high or low -
Never repeating and never ending