Triangle Centres and the Euler Line (extra footage)

Featuring Zvezdelina Stankova.
Editing and animation by Pete McPartlan.

NUMBERPHILE

Videos by Brady Haran

[TheGreatPizzaMasterpiece]

Math just never gets old. Thank you, always, for these learning tools!

[shardshunt]

that was like watching a mystery show. brilliant.

[AlwaysLoisLane]

When she said "And that unique point... is the Centroid.", I had a very steep inclination towards saying "I love you"

[Caye]

Thank you for these videos. I'm thinking seriously to support you on Patreon!

[PragyAgarwal]

How does every person on this channel have a wonderfully pleasant voice and accent !?

[BinaHejazi]

You are the most brilliant but more importantly the sweetest mathematician I have ever seen and all that makes you a MIRACLE!!

[DrSegatron]

The Euler line looks like a three-dimensional normal to the triangle face.

[StuziCamis]

Could you do this with 3-D objects like, say, a triangular-based pyramid?

[EtzEchad]

Professor Stankova is truly a gifted teacher.

[dinonid]

I've never been so into geometry as after watching this.

[erikziak]

You know that you are old when watching this brings up memories which seem to you like being from a time when dinosaurs roamed the earth. I feel so old right now.

[lbblackburn]

Beautiful proofs. This professor explains the proofs very well. I remember a harder proof that the Euler line exists--so I learned something new.

[simonlai]

The triangle is the best polygon. I learnt this from vihart

[AnalyticalReckoner]

Can you use the 3 points on the line to work out the dimensions of the triangle?

[InShortSight]

Are there 3 dimensional shape's with similar properties? I ask because the animations make the magic highway look like it creates a Z axis perpendicular to an equilateral triangle which is rotating in 3 dimensional space. It could be cool to see a similar effect on an already 3D shape :3

[SunriseFireberry]

For non-Euclidian (positively or negatively curved space) triangles, is the Euler line in some sense straight or are they curved, or do they even have an Euler line at all?

[szafranizm]

What a great easiness of delivering knowlage!

[venkybabu]

Just how they produce frequency. Some kind of following Euler lines. So maybe spheres produce frequency on those points for something like earth. That's why tides are in pressure gradients. Mostly stress lines for quakes. When they move.

[devjock]

Is there a special name for the point halfway between the centroid and the orthocenter on the Euler line? (13:37 unnamed point between G and H)

[Eazoon]

Can a similar line be created with a pyramid?