Euler Line

[SuperDogbrown]

very interesting video thanks

[osclarkos]

good work here

[shobhan126]

I came across a objective question in which a triangle ABC was given with sides a, b, c and it was asked that what is the area of the triangle formed taking the ortho-centre circum-centre and centroid of ABC as its vertices......I couldn't do it in the exam though then i realized that the area is 0 sq.units as they are co-linear......

[utubedkf]

There's an interesting progam called

GeoGebra that can be used to show these

three points.

(just google for GeoGebra to find it -- looks like links are

disabled for these comments)

[coolsteven2]

This is amazing! I stumbled upon this video. GET OUT Triangles are more amazing than I thought they were.

[Ilikemeows]

Could have used this a year ago :(

[GetMeThere1]

Who needs religion when you can have this? As a matter of fact, who needs orgasms when you can have this?

This sort of stuff stirs me to the core of my being....for me it's the most moving and satisfying sort of thing I've ever experienced. Why did nobody show me these things in school???

[Ilikemeows]

@GetMeThere1 That orgasm part is a bit too far dont you think? Lol, im kidding, if math or just intellectual stuff stimulates interest in you, its a gift; you appreciate knowledge.

[DashDart]

@GetMeThere1 hehe...same here dude... but i wouldn't go as far as saying "who needs orgasms"...because orgasms are the reason human beings exist in this earth(well this is too dramatic but still...its a thought)

but either ways...it stirs me too...it feels so overwhelming and exciting that for a while you can't help but smile like a douche :) and i don't care about that as long as i love mathematics, all seems well :)

Cheers

Bidit from Nepal

[GetMeThere1]

@DashDart : The well-known modern mathematician Paul Erdos claimed to live most of his adult life without orgasms--because they ruffled his thinking enough to detract from his mathematics.

[DashDart]

@GetMeThere1 yea sure but that's just one of the 6.5 billion people on earth. Sure that is great and really inspiring that he apparently avoided orgasm for the sake of mathematics and i agree that he was a true genius...but still, you know, it's a bit too far into saying....

but anyways...i totally respect your views on that and i don't mean to offend you or anything..i am just saying what i feel :)

[Waranle]

Thank you Sal

[AtomFA]

fuck da triangles

[Ferrus91]

polymathematics.typepad.com/po­lymath/2005/07/eulers_line.htm­l

[Ferrus91]

This is the best actual proof I have seen. Uses line traversals and centroid properties to simply derive the statement. Pretty sure Khan could do this proof without confusing anyone. :)

[TheHdulcimerguy]

Oh, but one question: How could a circle intersect a triangle at nine places? The most I can imagine is six....

[laputahayom]

@TheHdulcimerguy

he means that the circle goes thourgh nine spical points analogous to the centroid.

[TheHdulcimerguy]

Wow! That is crazy awesome! My day is officially made.

[LAlba93]

what's with the reaction thing by the comment box?

[nodariel]

Once again I have learnt something incredible from your video. Fantastic.

[Madgod112]

GIMP hint: if you hold shift while clicking in different places with the brush tool, it will draw a line from where you last clicked. I'm not sure if you know this and there's some reason you're not doing it, but I figured I'll post it here anyway.

[NewgroundsOwnSBB]

what's the relationship between the euler line and the triangle? Is there some kind of symmetry?

[XecutionStyle]

What is the significance of the Euler line? Is there one, or is it just like the Euler identity there to mock us.

[nybotheveg]

@XecutionStyle euler did amazing things just to troll use.

[shazaduh4ever]

Sal, how come you are not using triangle, line, circle etc tool for your geometry playlist?

[AlderDragon]

I think the length from the orthocenter to the centroid is actually exactly twice as long as the distance from the centroid to the circumcenter.