If you can find some way to use the Pythagorean theorem as a formula for actually determining the input and output values of a lever, then come up with it.
bruto, no mambo jambo mystical dimension of any kind is involve here, but simply the ratio between the
unchanged (represented by
c2) and the
changed complement
a2 and
b2 areas , that all.
By using this ratio one easily demonstrates the complement
changeable relations between
force and
distance, as found the The Law Of Lever.
It becomes crazy only is one omits the
unchanged aspect of The Law Of Lever.
EDIT:
The fulcrum of a lever is not a length. It is not, technically, even a specific thing. It is only a location. No quality of that location except for its location has any bearing on the proportional qualities of the lever.
As long as you are not using your abstraction abilities, you can't comprehend anything beyond some physical location.
By using your abstraction abilities, you have no problem the use The Pythagorean Theorem in order to demonstrate, for example, how a given pole is balanced on a given fulcrum.
It goes like this:
Since you have abstraction difficulties to get it, I suggest you to put the
constant c2 area (represents the
fulcrum) on a flat ground, and rotate above it the right triangles with their complement
changing a2 and
b2 areas (represent
distance and
force).
Now, let's say that
a2 area represents
distance and
b2 area represents
force, where
a2 is on the upper left side of the rotating right triangle, and
b2 is on the upper right side of the rotating right triangle.
If you rotate a right triangle from left to right, you get more
distance with less
force, but this is only the half picture of a balanced pole.
In order to save the balance, you simultaneously rotate a right triangle from right to left, such that you get less
distance with more
force.
If the rotations are done properly w.r.t to each other, you get a balanced pole, but you can't achieve this balance unless both the unchanged
c2 area (represents the
fulcrum) and the rotating
a2 and
b2 areas (represent
distance and
force) are included.