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Mathematical limericks

[This limerick was previously posted incorrectly.
 The integral limit has been changed.]

Here's a limerick I picked up off the net a few years back -
looks better
on paper.

          3_
         \/3
        /
       |  2            3 X pi          3_
       | z dz  X  cos(--------) = ln (\/e )
       |                 9
      /
       1

Which, of course, translates to:

Integral z-squared dz
from 1 to the cube root of 3
times the cosine
of three pi over 9
equals log of the cube root of 'e'.

This poem was written by John Saxon (an author of math
textbooks).

((12 + 144 + 20 + (3 * 4^(1/2))) / 7) + (5 * 11) = 9^2 + 0


Or for those who have trouble with the poem:

A Dozen, a Gross and a Score,
plus three times the square root of four,
divided by seven,
plus five times eleven,
equals nine squared and not a bit more.

-----

        Than 3 point 1 4 1 5 9.

("The Lure of the Limerick" by W.S. Baring-Gould, p.5. Attributed
to
Harvey L. Carter).

-----

If inside a circle a line
Hits the center and goes spine to spine
And the line's length is "d"
the circumference will be
d times 3.14159

-----

If (1+x) (real close to 1)
Is raised to the power of 1
Over x, you will find
Here's the value defined:
2.718281...



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