like an ellipse.

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So that's my ellipse.

That's an ellipse.

You have now plotted this ellipse.

And this ellipse is going to look something like

Select Ellipsoid Model

They're both this ellipse.

The ellipse is going to be taller and skinnier.

That's the center of my ellipse.

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And it's easy to draw that ellipse.

We went kind of a quarter of the way around the ellipse.

Went halfway around the ellipse.

They're the circle, the ellipse, the parabola, and the hyperbola.

Let me do an ellipse in another color.

So an ellipse could be like that.

Let's say the ellipse looks like that.

Let me draw the ellipse first.

So our new ellipse is going to look something like that.

And they're symmetric around the center of the ellipse.

So let me take another arbitrary point on this ellipse.

Which is the entire major diameter of this ellipse.

The ellipse is symmetric around the y axis.

You lose the information about where our particle is as it's rotating around the ellipse or how fast it's rotating around the ellipse.

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I went by the field of the slothful, and by the vineyard of the man void of understanding

So this tells me that we're going to be dealing with an ellipse.

And remember I said it's going to be an ellipse.

And you say, oh, this isn't the standard formula for an ellipse.

And now we're ready to draw this ellipse.

We go back to the beginning part of our ellipse.

You know what an ellipse looks like.

And then you have the minus b dot minus b.

In the ellipse situation, d1 plus d2 was a constant.

This is going to be a constant the entire way around the ellipse.

And the circle is really just a special case of an ellipse.

You know what an ellipse looks like.

So our new ellipse looks something like this.

So if I were to draw that ellipse it would look something

And we've studied an ellipse in pretty good detail so far.

So the super interesting, fascinating property of an ellipse.

There's no way that you could this is the exact center point the ellipse.

And it's often used as the definition of an ellipse is, if you take any point on this ellipse, and measure its distance to each of these two points.

And a hyperbola, it's very close to an ellipse, you could probably guess that, because if this is the equation of an ellipse, this is the equation of a hyperbola. x squared over a squared minus y squared over b squared is equal to 1.