C​-​Sections

by icanhasmath

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    Our first album comes in an attractive jacket with an eight page full color lyrics booklet. There's also a live version of The Electricity Song and a bizarre music video that seemed like a good idea at the time.

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released October 22, 2009

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Track Name: Conic Sections
Conic Section, Rhythm Section,
Intersection of a Plane and Cones:
The cornerstone of Analytic Geometry!

If you were the Archimedes,
You would burn the enemy ships,
With a parabolic mirror,
pointed out to sea!

Or maybe Johannes Kepler,
Take the data, and it tells ya,
Orbiting around the sun
in perfect ellipses.

Or your name is Alfred Lee
And you invented LORAN-C
To track location and the speed.
At sea apply Hyperbole!

Or you’re from an ancient clan,
let’s say Mesopotamian.
The Circle spins upon a stand,
A potter’s wheel with clay in hand.

Conic Section, Rhythm Section,
Intersection of a Plane and Cones:
The cornerstone of Analytic Geometry!

Menaechmus, from Alopeconnesus,
Had a Delian dilemma,
Tryin’ to double up
The volume of a cube!

Which is how he stumbled
on the conic sections. Intersections
of two parabolic sections,
Answers they exude.

Given names: Parabola,
Ellipse, and the Hyperbola,
from Apollonius of Perga,
Didn’t name the circle for-ya.

Circles are a special case:
Ellipses but with added grace.
A horizontal plane embrace,
That’s parallel to the cone base.
Track Name: Elliptically
It’s the end of the line.
I can’t say that we didn’t have a good time.
But failure’s coming. I predict.
Our lives aboard a sinking ship.
Deny it or live in despair.
Why build a road that goes nowhere?

I am set, In my ways.
And there ain’t no future without any change,
But we both fail in compromise,
And so it’s time to say goodbye,
As pain inflames and swells inside,
I look into your starry eyes.

And I remember, I am on a lonely spheroid.
In an elliptical orbit.
Round a slowly burning focus,
with its own elliptical locus.
Though some day it will destroy us,
we’ve got many days before us.

And I say, “It is not the time.”
As we keep on moving oh so quickly through space-time.
Ambivalent as either point is justified.
Around with no compulsion to decide.

I remembered, I was on a lonely spheroid.
In an elliptical orbit.
Round a slowly burning focus,
with its own elliptical locus.
Though some day it will destroy us,
we’ve got many days before us.

Then I realized they never will look to the end,
No completion, they cycle again and again.
That’s the way that our lives were intended to be,
I will focus on you if you’ll focus on me.
Hold my hand girl and stand on the major axis.

And we’ll live...
And we’ll live...

I remembered, I was on a lonely spheroid.
In an elliptical orbit.
Round a slowly burning focus,
with its own elliptical locus.
Though some day it will destroy us,
we’ve got many days before us.

And I realized they never will look to the end,
No completion, they cycle again and again.
That’s the way that our lives were intended to be,
I will focus on you if you’ll focus on me.
Hold my hand love and stand on the major axis.

And we’ll live...elliptically.
Track Name: Hyperboli
X minus h, Squared.
over rx squared,
Plus y minus k squared.
over ry square-er-d.

It all equals one!
Ellipses are one.
Bet they never told ya,
It works for Hyperbola,

The 2 radii,
rx and ry,
normally are Real,
but imagine if you will:

That Rx Squared OR Ry Squared just happen to be Negative,
The only way for this to be, a bumble bee, complexity.

The radius that has an i, don’t get to have no verticii.
But draw both radii to show, the box that holds the asymptotes,
now summoning your mortal strength, you’ll find that pesky focal length.
It’s longer than both radii, when we’re talkin’ Hyperboli!
Track Name: Directrix
Directrix wants you,
An Equidistant to,
A Focus, that you find,
in a lens.

Directrix wants you,
An Equidistant to,
A Focus, that you find,
In A Radar Dish.

You move just to escape,
the space is in the shape
the shape is in your wake
and it flows...
backwards like a wolf
r animal, parabolic.

Directrix wants you,
An Equidistant to,
A Focus, that you find,
On a Suspension bridge.

You move just to escape,
the space is in the shape
the shape is in your wake
and it flows...
backwards like a wolf
r animal, parabolic..

Directrix wants you,
An Equidistant to,
A Focus, that you find,
As you fall back to Earth.
Track Name: So it Goes
So it goes,
and we go with it,
What else,
are we to do?

So it’s time,
Time to admit it,
We both know,
We both know the truth.

So you made,
a couple errors,
with Aristotle,
and Ptolomey.

If they knew now,
All that I found,
Well I think,
They would agree.

So when is the right time to say that you’re wrong?
The longer you wait is the more damage done.

For truth is the truth and eventually,
The truth will remain, for the truth can be seen.

So we’ll look,
up to the heavens,
See what stories,
They have to tell.

You can threaten,
one man to silence.
But the Heavens!
Don’t Scare so well!

So the story,
of our culture.
Advances.
With each new truth.

So it goes,
And we go with it.
What else,
Are we to do.
Track Name: Quitting Time
It’s quitting time, at six o’clock.
A perfect axis, from the bottom to the top.
Major or Minor there is no distinction,
‘cause the focii have merged into one pointy dot.
At the center of the circular clock.

No focal length.
That’s how I feel.
No focal Strength.
Is that a Pigeon.

No focal length.
That’s how I feel.
No focal Strength.

I’m just waiting for the hands to form that sweet diameter.
Dear god it’s only Twenty-Three past Four!

I’m feeling Circular!
No focal length.

I’m feeling Circular!
No focal strength.
Track Name: Roundabout
a brave semi major axis,
b the semi minor scared.
For ellipses also circles,
area has been declared:
a times b times pi, for circles
is of course just pi r squared.

The same does not hold for circumference
or perhaps perimeter.
pi d or 2 pi r for circles,
but ellipses don’t transfer.

For Ellipses:
twice the sum of
a squared plus b squared, now go,
take the square root of it all
and multiply by pi but know,

that this is just approximation.
For perfection: Integration.
Read the newest publication
by the good Sir Ivory.

Delivering the information:
Ellipses rectification.
Gauss-Kummer’s Series Summation,
Transforming and reforming
and Transforming
the vast hyper-geometry.
Track Name: Inscribed Pythagorus
Equation of the circle is a minor adaptation,
The hypotenuse the radius,
the legs will give you y and x,
and stationary is a point,
the center of the circle,
just two shift transformations,
from the origin to anywhere you’re there.

Inscribed Pythagoras, he’s looking at you, and you must,
Acknowledge him. Appease him. If you’re lucky you will please him,
If you don’t he’ll bring you to a world of hyperbolic grieving,
from which you will never ever go. Though you are always leaving.

The focal lengths, the axes, semi-major, semi-minor,
are related to the theorem and there’s no fair theorem finer,
For Ellipses semi-major is the longest of the trio.
The focal length is greatest when pertaining to Hyperbolas...you see....

Inscribed Pythagoras, he’s looking at you, and you must,
Acknowledge him. Appease him. If you’re lucky you will please him,
If you don’t he’ll bring you to a world of hyperbolic grieving,
From which you will never ever go, though you are always leaving.
Track Name: The Electricity Song
A parabolic mirror in the desert.
reflects the waves of solar radiation,
to a tube filled with oil at its focus,
which then runs to a solar power station.

The oil in the tube then heats the water,
which turns a turbine when it turns to steam,
which spins a coil of wire near some magnets.
They’re generating electricity.

It’s AC current!
They’re generating.
It’s alternating,
from the rotating.

Through the dessert!
Along the poles,
and coming in,
to power our homes.

An adapter is then plugged into an outlet.
Electricity flows through a transformer.
Then it passes through a full-wave rectifier,
which is really just four diodes in a square.

The voltage from the wall is still too wavy.
So before it can be used in a machine,
a capacitor assists it with the smoothing,
and now it flows with more consistency.

It’s DC current!
I’ll say directly!
Easy to work with,
more elementary.

An adapter,
is all you need,
to turn the AC
into DC.
Track Name: Unit Circle Trigonometry
Zero, π over 6 and more,
The next one to know is π over 4,
Then π over 3 and π over 2,
Are all of the radians I’ll tell to you!

r is 1, circumference is π times 2

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

The x’s are 1, square root of 3-
Over 2 horizontal they must be.
Square root of 2 over 2 and next are,
One half and zero the stately x.

Secretly they’re cosine but that’s coming next.

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

Zero, one half, and square-root of 2-
Over 2, that’s "y" I’m telling you,
Square-root of 3 over 2 and 1.
Sine is the height at any radian,

The square-root of 4 over 2 is 1!

O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.
O, thirty, forty-five, sixty, ninety!
That’s why I love unit circle Trigonometry.

Now there are three other quadrants to
The unit circle that is in your view,
I’m not going to sing them,
You can work them through,
And while you are doing that I’ll say to you:

r COSINE is X!…And r SINE is Y!
So we all love unit circle Trigonome - tri!

r COSINE is X!…And r SINE is Y!
So we all love unit circle Trigonome - tri!