What is an Ellipse? | Geometry, Ellipses Definition, Introduction to Ellipses

What is an ellipse? Ellipses are very interesting shapes, and we will be going over the definition of an ellipse and many related terms in today's geometry math lesson!

An ellipse is defined by three things: two points, each called a focus of the ellipse (collectively called the "foci"), and a distance we will call 2a. The importance of this distance is as follows.

With a distance 2a, and two points F_1 and F_2, the ellipse given by this information is the set of all points such that for each point, the sum of its distances from F_1 and F_2 is equal to 2a. So every point on the ellipse has this property that the sum of its distances from the foci is 2a, the exact same number for every point. It's pretty cool! You might notice some similarity to circle in this definition.

Remember that a circle is the set of all points that are a given distance from a given point, called the radius and center respectively. Ellipses are a generalization of circles, which means that circles are special types of ellipses. An ellipse whose foci are the same point is a circle. All of this information is much better explained with visuals, so check out the video lesson!

I hope you find this video helpful, and be sure to ask any questions down in the comments!

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[kadensadich]

Bro thank you so much for the video, you described it without sounding monotone and ur channel name is amazing lol.

[joelstolarski]

That was a very nice explanation. Learning 3d design, and some of the tools in Fusion 360, require knowing geometry. Long time since college geometry. Thank you for making this very understandable tutorial on ellipses!

[luisalcaraz]

Why has the internet been hiding you from me!? I’m so glad I came across your videos. Thank you! 😊

[thegoodlydragon]

But you didn't explain what defines the foci as such. You just said they are two points, but how do we know where we must put the points?

[RahulKumar-mgnj]

video helped me to understand Kepler's law of planetary motion. thanks🙃

[spindriftdrinker]

Holy Halibut Batman ! This guy is a GREAT math teacher ! Woo hoo, Youtube can be great if you get lucky and stumble upon him !

[saifeekhaan]

great way of explanation i'm expecting more of it

[MarwishaJuhan]

I'm so glad I found your video. Thank You for this sir!✨

[Manjunathrathod-mi]

Bro can explain latus retum what is it and formula and end points of LR, and what is focal chord, chord, directrix equation for parabolas 😊

[akhan]

Thank you for this! The explanation was quite helpful and concise!

[khushdhillonvlog]

Really helpful for me....i understand concept.of ellipse..thnks ..❤....make more videos on another topics..😊

[darioarriaga]

love how you´re passionate about math
thanks man

[abdiazizmadaale]

I'm from somalia east Africa
I studed more from this lesson
Thnk u so much..

[vishaltaneja]

Can we also find 2 points on minor axis such that sum of the distances of any point from those 2 points is constant.

[schanzabukhari]

Studied this for the frist time and my concepts are perfectly clear! Thank you!

[movierecap]

Am kindly requesting for complicated ellipse practice questions. And perhaps a video on conic section and binomial expansion

[arnnmac]

Bro its easy so easy to understand after watching this!

[ngocn]

Hi. Thank you for the video. Your explanation is very simple and clear. There is this principle that I’m still confuse about. Why an oval is used to represent ellipse? If it were a rectangle, would that not be an ellipse? Is an ellipse an oval with those three conditions that make it an ellipse as explained in the video then?

[aqua]

i used this video to advance study i love the summarization !!

[gabrielDMC]

So can we get a visual description of a total solar ellipse???