Hartshorne ellipse
Okay kiddo, have you ever heard of an ellipse? It's a shape that looks kind of like a circle, but it's stretched out in two directions. Now, imagine drawing an ellipse on a piece of paper with a pencil. When you draw it, you might notice that it has two points that are really important - they're called foci (foh-sigh).
Now, a Hartshorne ellipse is a special kind of ellipse that has some pretty cool properties. If you take a piece of string and tie it around the ellipse, making sure that the string touches both foci, you'll end up with a really interesting shape. That shape is actually another ellipse, but it's smaller than the original one.
You can do this with any Hartshorne ellipse, no matter how big or small it is. And if you ever need to find the foci of a Hartshorne ellipse, all you have to do is take the length of the major axis (that's the longest part of the ellipse) and divide it by 2. Then, you can use that number to figure out where the foci are located.
So there you have it, kiddo - a Hartshorne ellipse is a special kind of ellipse that has two foci, and if you tie a string around it touching both foci, you'll get another, smaller ellipse. Neat, huh?
Now, a Hartshorne ellipse is a special kind of ellipse that has some pretty cool properties. If you take a piece of string and tie it around the ellipse, making sure that the string touches both foci, you'll end up with a really interesting shape. That shape is actually another ellipse, but it's smaller than the original one.
You can do this with any Hartshorne ellipse, no matter how big or small it is. And if you ever need to find the foci of a Hartshorne ellipse, all you have to do is take the length of the major axis (that's the longest part of the ellipse) and divide it by 2. Then, you can use that number to figure out where the foci are located.
So there you have it, kiddo - a Hartshorne ellipse is a special kind of ellipse that has two foci, and if you tie a string around it touching both foci, you'll get another, smaller ellipse. Neat, huh?