Do Triangles Have Four Sides?
์์ค ์ฝ๋
- ๊ฒ์์ผ 2021. 08. 17.
- ๐บ #shirt #shorts ๐บ
join our brain food club to get it! www.curiositybox.com
In this short, we say hello to the "Sherman line" -- a feature of all triangles that made B.F. Sherman say, "what else was there to call [it] but the fourth side of the triangle?โ
Check out this interactive version @amazinglybland on twitter made!
t.co/lMTauaQP0d?amp=1
Sherman's original paper:
www.jstor.org/stable/2690519 - ์ํฐํ ์ธ๋จผํธ
This dude could convince me that I have 7 fingers on each hand
Polydactyly:
Hold my custom beer mug
God i laughed so much at this comment, because itโs true.
Or does it?
your elbows and shoulders can count as fingers. Boom.
@@fremadethis came to say this!
"Yo bro I like your shirt, can you explain it?"
"So basically"
No explanation. Buy my shirt.
sir this is a wendy's
*VSAUCE MUSIC INTENSIFIES*
โ@@themanwhospeaks8010 the man has spoken
Ha
YOU ARE THE REASON WE HAD TO PROVE WHAT A TRIANGLE WAS IN MATH
ohh my gawd .. i found the reason i had to learn the Pythagorus theorem
Yup, this guy is the Main Boss of Maths/Physics
English, please.
@@RicOnSwitch that is english :|
What part of anything in this comment and replies aren't in english???@@RicOnSwitch
"There are 4 sides to a triangle."
"No there are 3."
"Not if you count the in-side"
I like your answer better.
โNah theres 5โ
โWdym theres 4โ
โCount the outsideโ
๐๐๐
Why did Buckwheat wash his clothes in Tide?
Because it was too cold out Tide.
๐
Im trying to see the 4th side and my man just wiggled around.
๐๐๐
Exactly!
๐๐๐
@@sgvlogs2180 Irk!
End points on The circumcircle, mid points on the 9 point circle and tangent to the incircle
Trying to write a new character into an already developed story be like:
Real
๐๐๐๐ ded
True
Pretty much
Dawn!
"Triangles have three sides."
"Or do they?"
Math be like
What about their inside? And their outside? Triangles have lots of sides!
โ@@swisstroll3their funny side, their serious side, their emotional side, there is so much going on beneath every surface! Triangles are people too! #stopobjectifyingtriangles!
"let's see about that"
I do I swear ๐ญ๐ญ
The 4th line. A triangle has its end points on circumcircle. Each line of triangle is tangent to the incircle and has its midpoint on the nine-point circle. Apart from these three lines, B. F. Sherman established that there is a fourth line, which is also tangent to the incircle and bisected by the nine-point circle with end points on circumcircle. He called this the fourth side of the triangle while others call it as the Sherman line of the triangle. Vsauce thank you.
Guy: "i put a line going through a triangle"
Vsauce: "and our shirt celebrates it"
Factsssss
The line was already there though
A Triangle has nearly infinite sides. I will just keep drawing bullshit lines through it at all angles. Hey lets go into 4D, 5D, and InfiniD!
@@sbirkkk Always has been.
Yo I was 666th like LETS GO!
โDo triangles have 4 sides?โ
โYeah, you just gotta draw a bunch of circlesโ
:D
๐
Triangles and circles are very intimately related. That's why we have trigonometry
@@MrQuinnlord also suicide.
-And an orange line.
All of this was done just to make you watch him shimmy.
Talking about nine circles, incircles an circumcircles, I was convinced he would prescribe circumcision. Thankfully he circumvented that.
This was the most mathematically complicated merchandising opportunity in history ๐
@@BROWNJAPAN would that become a trapezium? Trapezium is technically a part of a triangle.
Nice
Are the shirts made by underpaid children in some far away country? If not, awesome. Either way, we still don't need anymore clothes in this world. Stop making clothing please, already have more than we know what to do with.
Speaking of merchandise
โThis comment was brought to you by TUNNEL BEARโ
@@crowlsyong I like this comment xx
"I like your funny words magic man"
Sounds like something the TF2 soldier would say too lol.
You know nothing, c h i l d
I UNDERSTAND THAT REFERENCE
"I own you, you fatty fat, fat fat!"
Funny words
Vsauce pulled the best dancer ever and thought we wouldnโt notice it
this is why you have to prove why a triangle is a triangle in geometry lmao
I was skeptical at first, but that four-sided triangle dance really sold it to me
Yes, very convincing argument ๐
I came here to say this. Thanks!
๐๐๐๐๐
Literally I'ma get that shirt xd
same ahaha
I bet the dude that discovered this was tripping balls.
And those balls were the circumcircle, incircle, and 9-point circle.
Yes he definitly was
@@rogercline5377 best reply to exist
Tripping triangles
Tripping triangles
Damn it now triangles are identifying as other things too
well it's the reverse but yeah essentially...but then again, not really because the triangle is a triangle, and the triangle with three circles and a line drawn in is a triangle with three circles and a line drawn in...the only one who's identifying something as something else here is Vsauce, and his clickbait phrase has no weight on the identity of a triangle.
As a trans person I laughed so hard at this
Yeah everyone and everything is getting brain damage and bending the laws of objectivity
What does this supposed to mean??
Ah yes, an extra line, an extra line, an extra line... I think...thats...
that fourth line is when a random person tries to get into your 3 person friend group that youโve had for 5 years
Nice one!
Your friends are not yours friend. Youโre only borrowing them for a while
In that case I welcome the fourth side of the triangle
Why does that sound like it happened ๐
I am that person
Gaslighting. Level: Expert.
Gaslighting woo krplus.net/ushortsSZz3MK9p_tE?feature=share
@@Kingryangarcia wtf is that link?
@@Kingryangarcia not sure we should celebrate gaslighting :/
@@highdefinition450 gaslighting is a fine art, and those who have mastered it should be celebrated. Its just common senseโฆ
@@HaugeBauge the art of lying to someone to the point that they actually believe it? Heck yeah let's celebrate that
Somebody pull up a peer review of that 1993 paper.
I liked when he just showed the fourth side and I had absolutely no idea how we arrived to that conclusion
Michael: "A triangle is a square."
"Now, mating dance!"
A polygon with 4 sides is not necessary a square...
A square necessarily has 4 sides of equal length, that's the actual defining principle. Having 4 sides doesn't make something a square, or even a rectangle (of which a square also is). Also trapezoids, parallelograms, and infinite number of irregular polygons with 4 sides. Claiming a triangle is a square is just patently false. This at least has a mathematical reasoning behind it. My technical gripe with this as that I don't think you can define a line as a side, because this definition of "side" leaves out the property of being a boundary layer that defines the dimensions of the polygon. The fourth "side" isn't a side, it's just a line that happens to match a specific definition that leaves out critical factors. This kind of stuff is fun but I REALLY hate all the people who go around thinking that they're being smart be going around arrogantly trying to impress people or acting like they're less intelligent by going around acting like this is a fact instead of essentially the geometry version of comic book nerds geeking out over head canons
๐๐๐คทโโ๏ธ๐
๐๐๐
@@MagiciteHeart who asked
Holy shit heโs finally going crazy
Hes already long gone my guy
Was the Beard
Ayahuasca is one hell of a drug
Finally?
His IQ was so high it looped back to 0
Bro just discovered a triangle in 4D๐๐๐
When you hate triangles so much that you try to convince people that they're actually squares.
Vsauce in 5 years: Water is actually on fire
you can do that actually
โ@@random_number_sequence I've done it
Yoo you have 690 likes. Nice.
โ@@skittoz869
Vsause in 20 years: your life doesn't matter
Me who failed in my exams because I said a triangle has 4 sides: Time to appeal the results.
Hello fellow verified person
Replying before this comment gets 10k+ likes
@@araragikoyomi7186 yep
now your just everywhere, stop spamming -_-
@Dabo life I see you everywhere
bro got my vsauce all over the place with that dance๐
Bro WHAT ๐๐
I mean if I'm being hones- *BUSTS* AHH~~
@@suspiciously101 i hope vsauce sees this
Michael dancing for us is crazy๐โ๏ธ๐ค
dude just drew a line into a triangle and called it a discovery
For real that was what Iโm thinking ๐
it has reason though
its true I was the russian guy
@@RAJENDRASINGH-ej6ci what reason
No he didn't, if that were the case try drawing a fifth line that also fits all the criteria, it's not just a random line.... it's a very specific line and the only line apart from the three sides of the triangle that fits all the rules relating to the three circles generated by the triangle .... each unique triangle has three unique circles and a single unique line that fits the same rules as the three sides ... if you think it's just drawing any old line you're an idiot
He got so entranced by his discovery that he forgot the definition of a side.
"The definition of a side in geometry is the line segment that joins two vertices in a shape or two-dimensional figure."
@@haze4341 which it doesโฆ mathematically
@@TheLastFBIagenthowever it is not a line segment If itโs (imaginary?)
โ@@sabofudge all lines are imaginary loser
@@TheLastFBIagent but Iโm pretty sure that since a triangle is a polygon, and one part of the definition of a polygon is that the lines canโt intersect, it isnโt a side
I love how everything you show is in sets of 3, 4 sets of three to be exact, then a random line is added because it goes through a set of 3 points, all to prove a triangle doesnโt have 3 sides
Vsauce in 5 years: wood is actually iron
so wooden is useful for getting diamonds?
@@lorenzoland3272I think there was a way to turn wood into diamonds
Oh yea, I came here to say that that might not be too much of a stretch
@@lovelasnow3754 when you burn wood and get charcoal, you would have to condense the charcoal SO FREAKIN MUCH, just for you to get an iddy biddy diamond.
@@OPMayo_VR so youโre saying Iโm right
Vsauce in 5 years: Does math actually exist?
Is it related to science?
โ@@willcal2738 Everything in this multiverse is related to 4 in some way. Prove me wrong.
@@thecreativerobo4057 prove yourself right. I dont have time to manage your bullsh1t for you. I have my own.
โ@@thecreativerobo4057 i mean a circle is a shape
@@Tee11one This sentence has the word โmeanโ in it, which has exactly 4 letters.
I like how we dont understand anything, yet we still go "Ah yes im learning something"
that line is officially the best hide'n'seek player ever
"you have only 2 eyes...or do you?!"
lol
Everyone forgets about the third eye. ๐๏ธ
Davy Crockett had three ears.
A left ear.
A right ear.
And a wild front ear. ๐๐
@@castleanthrax1833 lol
โ@@professional.commentator the blind one?
โEvery triangle is a love triangle when you love trianglesโ - Pythagoras
Aren't love triangles actually just 'V' shapes or 2 line segments?
Usually, love triangles seem to imply that Person A loves Person B, and Person B loves Person C.
But for this to be an actual triangle, I feel as though Person C would then need to love Person A.
@@ShadowParalyzer And when a real love triangle exists, it can be kinda funny. Exhibit A: Shakespeare's Twelfth Night
krplus.net/bidio/mpeaZnZ8iX23cnI
Love James Acaster
@@technicality Iโm glad someone got it!
This dude just showed us basic trigonometry at the beginning.
The dude just added a line and called it a day
We need a shirt that says โI was Circumcircled!โ
"I was circumcised at Jersey Mike's"
โ@@trentster8908 MGM isn't funny
And the Da Vinci drawing
I donโt wanna break the 666 so ๐
I'll make one BRB.
โConfusion hits more than strengthโ
~ Sun Tsu- the Art Of War
- Confucious
Great book
Its technoblade
The Art of War is talking all about avoiding war whenever possible and when a war is inevitable, try to cause as less harm to the people as possible. Itโs nothing about aggressively waging wars like some politicians nowadays do.
@@itsmee1369 ITS AN ACTUAL BOOK, ITS NOT FROM TECHNOBLADE
"You are currently WATCHING this video,
Or are you?"
Vsauce theme plays*
I feel like you could do this with anything. Make up an arbitrary way of defining something that seems to give you the original established answer, and then when it doesn't claim you discovered something new, instead of admitting that definition was just wrong.
So a love triangle really involves 4 people.
NO
Mom, dad, son, daughter
@@guenthersteiner9252and divorce lawyer.
@@guenthersteiner9252 ๐
the three in the triangle and the author (if itโs fiction)
Can you imagine being the guy who discovered this? He probably drew a line through a triangle and then sat there for a few minutes and just went โholy shit.โ
I can just imagine their eyes glow pure white for a second while the universe surrounds them as they're blasted through the universe in some echoy fashion talking about how they finally understand life and existence.
@@tks2072 and then he reaches the edge of the universe and it's just this white glowing void so he goes through it and he sees God and God says 'you can now play as Luigi' so God shoots him back down to Earth as luigi
@@korvexus9922 so L IS real....
๐ ๐ but the inner monologue โi either solved something... or i broke somethingโ
@@sebiDD7 you broke the laws of the universe to solve the laws of the universe...
"Hey, that triangle has 4 sides."
"No, it only has 3."
"Unless you count the inside."
Sup fricken chicken
vsauce in 9 years: water is lava
he already did that
"Do triangles have 4 sides?"
Yed of course, you only have to draw 3 circles, reinvent the definition and requirements of what a side is, and add an extra line out of nowhere to count as a "side"
Can numbers be less than 0?
Yes of course, you only need to define subtraction, reinvent the definition and requirements of what a number is, and add an extra symbol out of nowhere to mark it as negative.
Can a circle ba a square?
Yes of course, you only need to define square, reinvent the definition and requirements of what a circle is, and add an extra symbol out of nowhere to mark it as bs.
@@re-lmayer2546 explain this in greater detail.
the thing about the forth side is that each triangle has exactly one 4th side and prior to its discovery, the definition WAS used as an alternative definition of a triangle.
Very 1984
@@zacknattack Would you like me to explain the comment or the content of the comment? Iยดd happily answer your doubts good Sir
Someone:
โLetโs draw a random line and say itโs a sideโ
Feels a bit like that yeah
The 2 dimensional surface is *right there*
There is definitely a problem with this explanation. Even if all sides of a triangle have a property. All segments with this property are not triangle's side.
โ@@matze8824By the definition given, it is very side, u
You can just add an addendum about the position of the vertices in the segment/respective to the other sides and problem solved
If you look at the brown and pink dots on the circles you can see that they line up together to make the sides of the triangle. But there are two dots that line up but don't have a line of the triangle. The orange line is made by connecting those dots and then extending it, just like we see in the rest of the pattern that made the original triangle
Interesting! That orange line between E and F can be rotated to intersect the two circles at many points, so it's not a unique side like the other sides. It's really cool!
I heard "circumcircle" and crossed my legs
Michael: *sincerely explaining a really interesting concept*
Me: *giggling at โcircumcircleโ*
I was looking for this comment ๐ญ๐
krplus.net/bidio/ZKtul2SGk4HcnHo
!!!!.
I can't watch Vsauce without thinking
"Hi. Vsauce here. How fast can you run?"
Bruh ๐คฃ๐คฃ๐คฃ๐คฃ
_Niggas really named him "Sir Cum Circle"_
Although I lost my interest in triangles long time ago, after hearing that sweet typical Vsauce music, I see triangles interesting once again.
When a man is tired of triangles, he is tired of life.
damn I need to tell you about squares
Your pfp looks like a lego version of Mac from Always sunny in Philadelphia
dude you got some amazing animations
dont worry hexagons are still here
Within a youtube short he could convince me that i am a frog insted of i human
BRO DID THE ROCKSTEADY AT THE END!!!
Man that sound is nostalgic. And yes even Michaelโs voice.
Yesssss!!!! I had to find the songs on SoundCloud ๐ every time I hear them brings back memories
Hey sauce Michael V here
Lmao ur pfp is just โcool picturesโ google search.
Hey! Vsauce
@@bland9876 hey, sauceMich, aelV here.
"This orange line is the fourth side"
Ok... how exactly?
To explain this we have to back to 300,000 BP, shortly before the invention of music.
@@Satellaview1889 before we can do this we need to talk about parallel universes.
This is just a mathematical joke, it's not a side actually
Because it matches the criteria that the three sides of any triangle already exhibit! It has endpoints in the circumcircle, is tangent to the incircle, and has its midpoint on the nine-point circle. This is surprising because any two criteria are already non-trivial to get to match, and the third criterion makes it all thr more unlikely to randomly stumble upon a setup that fits all three, but here we are, with every triangle having a fourth unrelated line segment which exhibits these same three properties all its sides exhibit
@@subnauticaispog7580 And before that lets talk about the start of existing.
Vsauce the next day "air is actually poison"
I believe that's actuality true. I heard something in school about it
You just changed triangles by changing the definition... Great work
That little dance at the end is seriously giving me life
Best dance moves of 2022
Fr. ๐ญ
That is math when converted into dance.
Boner. I think the word youโre looking for is boner.
Turbo cringe
I love how they explained all of this complicated circular stuff but then they reveal that the 4th side is just a *_line_*
Edit: no arguments in my christian comment section please
Technically all the sides are just a line
@The Cuban sure but what I said is still true
@The CubanIt can still be called TRI-angle because it has 3 vertices. We can redefine what TRI stands for now that we know the fourth side exists.
@The Cuban itโs called tri-ANGLE because thereโs 3 angles
That's how vsauce content works unfortunately
God dammit vsauce, you just explained every part of my math class today
Friend: Explain your shirt, that does not make any sense
Him: *wiggles around*
Bro that dance at the end๐ญ Iโm dying
๐
Snazzy
FR THO ๐ญ ๐ญ ๐ญ ๐ญ
That's what wild science nerds do to impress a mate.
@@donaldduck5840 LMAO I HAD A GUY JUST LIKE THAT IN MY SCHOOL
This wouldnโt really be a โ4th sideโ, this is just another reference point that triangles have as a part of their shape, itโs interesting, but itโs not changing the shape
I'm glad I'm not the only one thinking this.
I was just thinking his wrong, I'd never be able to articulate it
Thought the same thing.
When he said the triangle has 4 sides, he meant that there are 4 sides corresponding to the triangle in stead of 3
Edit: What I meant by a side is a straight line. Guys listen there is a one to one correspondence with those 4 lines and that triangle. That's why we could say it's the "triangle's side".
@@darksecret6050
But that's technically not a side. Nor are the circles actually part of the triangle.
Vsauce is the definition of structured insanity
Bro became vsauce for a second
A human: A tricycle has three weels and..
Michael: Yeah but what if they don't? An article on the...
๐คฃ๐
Legally, adult tricycles qualify as bicycles.
Vsauce: "There are 4 sides to the triangle"
My geometry teachers in the past: My disappointment is immeasurable and my day has been ruined
Me who is expecting an original joke from you: My disappointment is immeasurable and my day is ruined
Sir, with respect, shoo.
@SHIVA๐ฆ I think he has one, a legendary one to be specific ๐
@SHIVA๐ฆ No you
Youre here too lmao
Insanity knows no bounds.
How many lights are there, captain?
4 lights...
Really smart people spend their time on some very curious endeavors.
โWhat the fuck are you talking about?โ
-Samuel L. Jackson
๐๐คฃ๐๐คฃ๐๐คฃ
"Do triangles have 3 sides?" *proceeds to talk about circles *
Lmao ๐คฃ
Classic vsauce parkour
We get there when we get there
You can thank Euclid for that. In classic Euclidean Geometry all shapes can be constructed with just 2 tools: A ruler (straight lines) and a compass (circles).
We all heard it in the video you donโt need to I point it out!!!
That's why 360 is a good division of a circle
Bro's dancing skills are as powerful as his strength ๐ฟ๐ฟ
"And our shirt celebrates it"
**Proceeds to emote**
390 likes and no reply? Lemme fix that
420 likes wit only 1 reply lemme fix dat
bestie broke it down
Your enemy won't understand you, if you don't understand yourself
- Sun Tzu, The Art of War
๐คฃ๐คฃ๐คฃ
๐๐๐๐๐
i didn't make any of this shit up - nikola tesla
Explanation: he was selling his shirt
Im reading this book right now. Excellent read.
Vsauce be messing with my mind lately๐
why do I feel this takes us a step closer in discovering a new dimension
When you buy this shirt you arenโt just buying a shirt, youโre also buying the responsibility to learn what it means well enough to explain it to anyone who asks. Youโre also buying the power to drain someoneโs life force during your explanation.
That's a lot of commitment for a shirt
Effectively becoming an energy vampire
Im immediately questioning anyone with this shirt about the origin of this 4th side. If they fail I will proceed to take their shirt since they are not worthy of it.
@@rrigamondi Ah, a man of culture. Petr would spare you.
Nice
They actually only have two sides: the inside and the outside.
Your forgetting about the upside down..
*SciFi music*
@@pikabruh1774 and you forgot about the sideways
*Listen here you little sh!t*
Hehe what about otherside
Youโre missing the onside
Maths teachers after hearing the student explain this:"yeah but you didnt do it MY way"
So if a line touches a triangle, it becomes a fourth side? Ok, suppose my one dollar bill touched a hundred dollar bi... hey, i now have 200 dollars.
brothers always like
"so we all know about this unchangeable fact about life right"
"yeah"
"Well fuck you it doesn't exist"
Fr though ha
Underrated comment
2k likes and just 2 comments??
Each triangle has 6 sides and 9 angles, prove me wrong
That's the point of science.
This is what mathematicians do when they're bored.
Quite pathetic
@@user-bf6gz8ej4o who hurt you? ๐ข
@@user-bf6gz8ej4o quite interesting actually
I give up, you are all just too simple to trick. Lets make circles inside triangles.
@@user-bf6gz8ej4o gotta agree with that
"Bro what does your shirt mean?"
*_clearing throat_* Ok so...
Adding a random line next to a bunch of arbitrary circles and calling it a "Side" of the triangle is like nailing some wooden planks onto a tree next to my house and calling it a fence.
The line fits the definition of what a side would be based on the precedent set by the circles, it's not random
@@logickedmazimoon6001 What's the significance of setting a precedent based on circles?
@@MarechalVI Feuerbach mathematics are a fuck, but it's basically really important for non-euclidean geometric models
He could convince me that I'm actually a rock
No shit, you're Dr. *STONE.*
@@prot07ype87 ๐๐๐๐
Ashes to ashes, dust to dust...
To be fair, a lot of you could a rock. You would be a big piece of coal with a lot of impurities.
@@draa0gon one day I'll turn into a flaming peice of coal
Iโm confused about the added 4th line, and how it makes that line a โside of the triangleโ. Itโs just a line that has certain elements in common with the sides.
This.
True
For real
It's just defining the sides of a triangle as lines which have points that align with those 3 circles you saw. The discovery is that there's a 4th line you can draw that aligns with those 3 circles that may not be a part of a geometric triangle, but fits what is defined as a "side" in this case.
Itโs just a clickbait title and premise to get you interested in the video, which is actually really cool.
โOr what if they donโt..?โ
โthey doโ
โOkโฆโ๐ข
I thought he would go like
โall triangles have 3 sides,but lets talk about *what is a side?* โ
>Barges into the mathematics community
>"The triangle has four sides"
>Refuses to elaborate further (actually does not)
>Leaves
I feel like there was a bit more that was needed, and I desperately want in
Vsauce sigma male grindset
@@jonaslavicka2411 sigma balls lmao goteem
these jokes are on every single video as you scroll down to infinity and they keep coming, I wonder when people will get tired of them
>Barges into the anti-vaxx community
>"The triangle has four sides"
>Tries to leave
>Tries to explain
>Gets lynched by an irrationally angry mob ranting, '[something]...Communism!...[something]...Freedom!'
His hips don't lie.
Fr๐ฅธ
_๐ฎ_
About 735,000 results (0.37 seconds)
Hips Don't Lie
Song by Shakira
OverviewLyricsVideosListenOther recordingsArtists
Lyrics
Ladies up in here tonight
No fighting
We got the refugees up in here (no fighting)
No fighting
Shakira, Shakira
I never really knew that she could dance like this (hey)
She make a man wants to speak Spanish
ยฟCรณmo se llama? (Sรญ), bonita (sรญ)
Mi casa, su casa (Shakira, Shakira)
O
@@fakealizer8280no no nO NOOOO
U made me watch his hips 10 times ๐
One more short before bed
The short:
I love the Owen Wilson Royal Tenenbaums reference in the intro