#### Equations than lend themselves to limericks

**Euler’s Equation:**

Here are a few limericks about this one.

I used to think math was no fun,

‘Cause I couldn’t see how it was done.

Now Euler’s my hero,

For I now see why 0

Equalse^{ pi i}+ 1.

eraised to thepitimesi,

And plus 1 leaves you nought but a sigh.

This fact amazed Euler

That genius toiler,

And still gives us pause, bye the bye.

**The Pythagorean Theorem:**

A triangle’s sides

a,b,c,

With a vertex of 90 degrees,

If that vertext be

‘Tween sidesaandb,

The roota-squared plusb-squared isc. [AA]

There are a number of lesser known equations that lend themselves to limerick form:

**Equation 1:**

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. [JS]

**Equation 2:**

Integral

v-squareddv

From 1 to the cube root of 3

Times the cosine

Of threepiover 9

Equals log of the cube root ofe.

**Equation 3:**

One over point one-oh-two-three,

When raised to the second degree,

Divided by seven

Then minus eleven

Is approximately equal toe. [AFC]

**Equation 4:**

Th’integral from

e-squared toe

Of 1 overvdotdv,

When raised to the prime

Between five and nine,

Iseto thei piby 3. [MMB1]

**Equation 5:**

The integral from naught to

pi

Of sine-squared of 2phi d-phi,

When doubled and then

Not altered again,

Is log (minus 1) overi. [MMB1]

**Equation 6:**

To find Euler’s Gamma of three,

Integrate to infinity

From zero,dx

x-squared on exp(x),

Or three bang divided by three. [MMB2]

**Equation 7:**

‘Cause

phi-squared lessphi, minus 1,

Is exactly equal to none,

The golden meanphi,

Which so pleases the eye,

Is half of root 5 add on one. [MMB2]

**Equation 8:**

The square root of minus 2

pi

On th’square root of inverse sinephi;

All that need be done

Is letphiequal one:

It’s twice exp ofi pioni. [AA]

In addition, there are a few figures that lend themselves to limericks:

**Figure 1:**

If a circle through

B, like so,

Has arcADwith centerO,

The angle atB,

WhereverBbe,

Is half of the angle atO. [MMB1]

**Figure 2:**

A body with mass

mkg

Feels a force of magnitudeT.

When its weight t’wards the ground

Is added it’s found

To speed up atTonm, lessg. [AA]

#### References

[AA] by Andrew Adams.

[AFC] by A. F. Cooper.

[JS] by John Saxon, textbook writer.

[MMB1] by M. M. Bishop.

[MMB2] adapted from M. M. Bishop.