X Coordinate

X axis

That is the x axis.

X position of main window

The X position of the main window.

X position of assistant window

The X position of the assistant window.

That's my x axis.

That is my x axis.

Curve

So it's just the area under this curve.

And maybe in the x direction they're constant, regardless of your level of x, the magnitude stays.

This is our x axis.

Evolute

And I'll do it with two different parameterizations for the same curve.

Next, remove the two X axis shipping blocks holding the ram in place in the X axis direction

So that's going to be the x coordinate.

And if I were to draw the x axis, the x axis would kind of pop out of the middle right there.

Just me just draw it here.

This is the curve for Joplin.

That's my curve.

Let me draw my curve.

And we draw the curve here.

Just around that bend.

So that is our y axis, and this is our x axis.

So x varies from the lower y curve to the upper y curve, right?

And let's say I want to figure out the area under the curve between the curve and, really, the x axis.

Evolute of this curve

You could see the curve happening.

It's a steeper upward sloping curve.

It'll spread to the entire curve.

This fairly simple example, all of the vectors point in the x direction.

Economies of scale gave rise to this sigmoidal behavior.

That is the x axis, and that is the y axis.

But the idea here is that the area under this curve should be twice the area under this curve.

Evolute of a curve

polygonal curve

The curve could look something like this.

Now look at this curve.

You want to shift this curve up.

They're being accalerated towards the center of the curve.

They're being accelerated to the center of the curve.

And let me draw my curve again.

Look for a murderer in a spinning?

Now we will check roll along the X axis