This is on a Mercator projection.

These cylindrical things, these are proteins.

They say, a cylindrical barrel measures 22 inches in diameter.

It's made of clay, and it's been fashioned into a cylinder shape, covered with close writing and then baked dry in the sun.

So we've touched on every conic section.

Why on earth are they called conic sections?

And that's frankly where the word conic comes from.

But this is really starting to get into what makes conic sections neat.

The fort is square and on every corner there is a cylindrical tower.

And let's just get it in a form that we might start recognizing from our conic sections.

So first of all, what are they and why are they called conic sections?

So that's just a general sense of what the conic sections are and why frankly they're called conic sections.

And that's also timberline and those bristlecones really are shrubs.

And frankly, I've never heard it outside of the context of parabolas or conic sections in general.

But this, once you learn about conic sections, is pretty clear.

When I first learned conic sections, I was like, oh,

The design of the Skylon C2 features a large cylindrical payload bay, long and in diameter.

And given a formula, how do you actually plot the graphs of these conic sections?

Now that you know what the conic sections are and why they're called conic sections, let's see if we can understand the actual equations of the conic sections a little bit better, and use that knowledge to be able to at least recognize them when we see the equation, and then if we see the equation, know how to plot them.

Let's see if we can learn a thing or two about conic sections.

So the one thing that I'm sure you're asking is why are they called conic sections?

There three kinds of cone cells that roughly correspond to the colors red, green, and blue.

But now we're getting into a little bit of the the mathematical interesting parts of conic sections.

So if we look at the cylindrical barrel from the side, because I think that's all we care about.

And in the next two videos, I'll go into a little bit more depth of the theory behind conic sections and how they came about and all of that.

In the retina, there are two different types of light detecting cells rods and cones.

It's made of clay, and it's been fashioned into a cylinder shape, covered with close writing and then baked dry in the sun.

Rectangular hyperbola A rectangular hyperbola, equilateral hyperbola, or right hyperbola is a hyperbola for which the asymptotes are perpendicular.

But hopefully if you've watched the conic section videos, you can already recognize that this is starting to look

You've learned that if you've taken algebra two and you probably have if you care about conic sections.

Everything we've done up to this point has been much more about the mechanics of graphing and plotting and figuring out the centers of conic sections.

The tower takes the form of nine cylindrical buildings stacked atop each other, totalling 121 floors, all enclosed by the inner layer of the glass façade.

And I did because this'll help us, this is kind of the same pattern that you see with all of the other conic sections.

So just as a review, I want to do this just so you see the similarity in the formulas or the standard form of the different conic sections.

Anyway, if a cylindrical barrel measures 22 inches in diameter, how many inches will it roll in 8 revolutions along a smooth surface?

And out of all the conic sections, this is probably the one that confuses people the most, because it's not quite as easy to draw as the circle and the ellipse.

So, anyway, this is the really neat thing about conic sections, is they have these interesting properties in relation to these foci or in relation to these focus points.

You must picture Mr. Thomas Marvel as a person of copious, flexible visage, a nose of cylindrical protrusion, a liquorish, ample, fluctuating mouth, and a beard of bristling eccentricity.

But hopefully over the course of this video you'll get pretty comfortable with that, and you'll see that hyperbolas in some way are more fun than any of the other conic sections.

So this is a very interesting way of relating sometimes the conic sections in the first video I showed how they're all related to cutting the three dimensional cone.

But in the next video, now that you know what they are and why they're all called conic sections, I'll actually talk about the formulas about these and how do you recognize the formulas.

I mean, your grandparents had these great big cones, and then your parents had these odd boxes that would squawk at odd times during dinner, and now we have these little buds that nobody sees.

Of course, there is another way to activate the red cones and the green cones simultaneously if both red light and green light are present at the same time.

At rumor of his arrival all the Mill dam sportsmen are on the alert, in gigs and on foot, two by two and three by three, with patent rifles and conical balls and spy glasses.

There are infinitely many different physical colors, but, because we only have three kinds of cones, the brain can be tricked into thinking it's seeing any color by carefully adding together the right combination of just three colors red, green, and blue.