Thales's Theorem

LINKS TO LEARN MORE BELOW!
Get my favorite brain food delivered to your door: www.curiositybox.com
/ tweetsauce
/ electricpants
Vsauce PO Box: PO Box 33168
L.A. CA 90033
Wask (strange objects like the short-sided ruler): waskstudio.com
/ waskstudio
Thales's Theorem on wikipedia: en.wikipedia.org/wiki/Thales%...
Thales's Theorem is a special case of the inscribed angle theorem: en.wikipedia.org/wiki/Inscrib...
"axiom" vs "postulate" vs "theorem": math.stackexchange.com/questi...
The axioms of Euclidean plane geometry: www.math.brown.edu/~banchoff/B...
sum of internal angles in a triangle:
www.cut-the-knot.org/triangle...
en.wikibooks.org/wiki/Trigono...
en.wikipedia.org/wiki/Sum_of_...
complete-concrete-concise.com...
parallel theorems: mathbitsnotebook.com/Geometry...
more circle theorems: www.mathsisfun.com/geometry/c...
angles opposite equal sides in a triangle are equal: gradestack.com/CBSE-Class-9th...
**CREDITS**
Hosted by
Michael Stevens
Edited by
Hannah Canetti
instagram: @hannaynaycanaynay
VFX by
Eric Langlay
( / ericlanglay )
Music by Jake Chudnow and from AudioNetwork
( / jakechudnow )
(www.audionetwork.com)
**VSAUCE LINKS**
Vsauce1: / vsauce1
Vsauce2: / vsauce2
Vsauce3: / vsauce3

[@YostPeter]

What kind of madman says "compbutt" several times and keeps a straight face.

[@LucasAlexander]

I believe it is pronounced "Cum(p)butt"

[@nikkan3810]

I can do that

[@principal_optimism]

We called them compasses at school. I'm so confused. Subtitles said it was spelt "kumbha" ????? compbutt? you sure?

[@RazorM97]

he's a genius

[@nawid21]

Germany here, 5th and 6th grade

[@tixqu837]

Me: proves Thales theorem through known geometry Micheal: proves all of Euclidean geometry in order to prove Thales theorem

[@adamqazsedc]

The 5 postulates

[@derpatel9760]

some day, so kid will have to say, "that's, MY DAD"

[@pkfirematt]

@@derpatel9760 Vsauce: Or am I?

[@NerdWithLaptop]

That’s my 50orfewer-th cousin.

[@muskmelon-o-8161]

😂

[@odoyle6778]

i lost it when he pulled out the "short sided ruler"

[@nihabkhan9184]

0:56: Shouldn't that be a compdonkey?

[@mrguest3749]

5:52

[@jamesmurchie6157]

They’re sold out. Big sad

[@dewut420]

L

[@cl0p38]

They could be shorter if the length was its thickness

[@Ikebot]

Teacher: "The angles of a triangle always add up to 180 degrees." Student: "Why?" Teacher: "Uh, well, it's--" Michael: "Hold my compbutt"

[@hunnitmanjuuve2404]

Cumbutt

[@arsnohachikoi1767]

Cumjar

[@kryptokly1435]

I think, we also did the proof for this in school.

[@user-rl7wt5yi6r]

@@kryptokly1435 yes indeed

[@sanyalox01]

Proving the 180° triangle is in the school system in my country

[@aleksa13579]

michael is such a chaotic neutral

[@joshbobst1629]

What makes a man turn neutral?

[@nikkan3810]

More like chaotic chaotic.

[@yboy898]

He's chaotic evil. Remember that he drew two parallel lines just to make sure it never meet. What kind of a neutral person does that?

[@ohboy1113]

yusuf red he more often acts chaotic neutral than chaotic evil though. See “Vsauce without context”

[@CensoredHarbor]

This dude just used circles to teach us about triangles and plugged his product line in the process.

[@frechjo]

I'd say it like this: this guy just fooled us into watching a middle school geometry class full of humor in line with it and lots of product placement.

[@colinfaherty661]

its hostility impressive how he does all that and somehow keeps our attention throughout a 9th grade geometry lesson

[@yon8081]

he's not a dude, _he's a man_

[@spencerbrady2425]

Dubaron mad skills

[@daviddo658]

Yeah, but it was about math, so it was worth it.

[@ahmedsherief724]

Micheal: teaching basic geometry i already know Me: still fascinated

[@anton9297]

Yeah me too

[@jojoversus1100]

Michael's smooth like that.

[@nicid0es348]

kzbin.info/www/bejne/jam8eWh5jcejj6M

[@mihailmilev9909]

@@jojoversus1100 like ur pfp

[@jojoversus1100]

@@mihailmilev9909 Thanks! I drew it myself!

[@pan_man69]

Michael seems like an immortal being that's trying to relate to the cool kids

[@doctorduck4844]

And succeeding

[@hareecionelson5875]

Correction: Michael IS an immortal being that's trying to relate to the cool kids

[@MurshidIslam]

"How do you do, fellow kids?"

[@aarondavis8943]

Maybe he's Tom Bombadil.

[@peek_yew9369]

"Ooh, they're never gonna meet, take that lines. Permanent loneliness..." Dang dude what the heck

[@captaincrust2180]

14:11

[@plokijum]

Frog Boot “Take that lines” (Permanent loneliness)

[@VitaliyCD]

😿

[@0xVENx0]

dong

[@notkiwibird]

Frog Boot me

[@johnchessant3012]

Michael probably forgot the pbuttword to his main channel.

[@HaydenManka]

Maybe

[@NotReese]

He tweeted about you. You did it.

[@sdm000]

LOL good one

[@yugal.prakash]

Ayyy

[@carloscepeda-diaz9722]

hahahah that was what i was thinking

[@triteraerlangga7917]

Michael: *show elements book* "this book is fantastic..." Me: "cool! A book that display every elements!" Michael: "because it has nice sharp right angle.." Me: "ohh..."

[@ShapeDoppelganger]

When I heard him saying "Elements" I thought it would be the Euclid's book.

[@shivamchouhan5077]

@@ShapeDoppelganger same

[@krishnachoubey8648]

@@shivamchouhan5077 approximately equal

[@Houshalter]

​@@ShapeDoppelgangerthat's the joke

[@user84074]

16:00 My mind was blown! Seeing how this all lead to showing that Triangles have 180° of internal angles was like learning it for the first time all over again. This video is as good as an entire semester of high school geometry

[@segmentsAndCurves]

When did you first learn this?

[@segmentsAndCurves]

@@hextav Thanks, I'm not a native English speaker.

[@Shashank_ssm]

In India we learn that in 5th grade

[@ritwikism]

That too in one week, not one semester lol

[@manavshah8335]

@@Shashank_ssm padhle bsdk

[@gregvillafane9167]

Almost sure he forgot the password to his main channel at this point.

[@thatfoodguy7661]

Greg Villafane oh yeah yeah

[@quarterexploding]

O yeye

[@lawrencecalablaster568]

He's been uploading a new series of Mind Field, & three of the episodes are free!

[@demisama3038]

Just use the ice breaker. Hope he was properly trained in its operation.

[@matthewzuelke6721]

No, KZbin Red stole his password

[@LtCrispo]

He has fully embraced the memes now. My life is complete

[@fgvcosmic6752]

*jazz muzic stops

[@clarkcrichton]

i love how instead of doing math homework i decide to watch a math related video for 20 minutes

[@blubberdust]

Michael's tongue-and cheek response to having to change the name of the show to d!ng bc dong wasn't family friendly

[@frogz]

there was never a ding, only a dong nelson mandella effect

[@pugsriel]

good point.

[@shaunmitchell1923]

This channel has always been called D!ng. There was never a Dong. Maybe you're thinking about the Hostess chocolate cake?

[@L3SSTH4NL33T]

This video has a bit of a "I just a had a psychotic break" vibe, and I love it.

[@zacozacoify]

L3SSTH4NL33T If you haven’t already check out DogBeef’s video Inside the Mind of Vsauce

[@UnderscoreZeroLP]

i had a psychotic break recently

[@evanco5213]

This entire vid was just for Michael to flex on us with his gold watch

[@asgeiralbretsen]

His gold wristband with a white area and a stick.

[@BluntforceJ]

if i ever see Michael in my hood wearing that gold watch, i'll ask him "what time is it?"

[@shadowsfromolliesgraveyard6577]

That watch has hands, where are your fingers?

[@aurigo_tech]

Looks like he is wearing a "Slow Watch" - a watch with just one hand and 24h dial. Cool!

[@durdleduc8520]

I didn’t even notice it

[@alacastersoi8265]

Michael: Compbutt Me: Semenpass

[@somecat7272]

its actually semenpbutt

[@bonemann6107]

HMMMmMmmMmmmmmmMmmmmmmmm~~~

[@423adriana]

semenpee, because the pass part sounds like piss. so semenpee instead of cumpiss

[@dylankrejci9965]

@@423adriana sepersonurine. can't say men, that's sExIsT

[@user-gb5od8nh7m]

@@dylankrejci9965 seperchildurine. can't say son, that's sExIsT

[@whatskrakin37]

Doctor: “You are in a mental hospital” Michael: “Or am I” Doctor: “Yes, you are”

[@nicktokar2459]

Did I really just watch a 24 minute high school geometry lecture?

[@conficturaincarnatus1034]

We did. Yes we just did.

[@OkamiDesuGa]

I learned more from this 24 minute lecture than my entire high school geometry class

[@sepioify]

Phoenix White well, you should’ve paid more attention in class.

[@mxj1337]

That's too obvious for a high school

[@icevlad148]

middle school

[@tvmoviemakers659]

I basically sat through a geometry lecture and enjoyed it

[@dyscea]

This. Flashback of my high school geometry. She was already the awesomest math teacher ever, but this would have been cool to see back then. Man, proofs and trig...

[@sadtoast6122]

Michal good at that

[@user-ve7dk5cp9w]

Yeah, michael is a good teacher ;)

[@xuanpang1972]

This is why Michael would be a good math teacher Edit: oh wait u Americans say math, so there Edit to my edit: oh I forgot to change it, here u go

[@sadtoast6122]

@@xuanpang1972 he's making more money being a KZbinr and a living meme

[@loganrawson6069]

I do not expect you to read this or even see it but I've really been impacted by you a lot. I used to just be a math kid getting good grades and getting through it easily, but ever since i started watching you my love for science has been skyrocketing. Right now I'm actually deciding whether or not I want to go into music or into science for college (I will probably just try and do both), and I'm not really concerned about it because I know either way I won't stop loving science. You have really made science a part of my life and I can't thank you enough for that. (also yes I notice this is a more math sided video but it was when this popped up in my head)

[@WujuStyler]

What happened? I went to uni for compsci and have now started a job doing science stuff for a cool company but I play music with others almost every week. It's so good!

[@greatballsack]

Update??

[@loganrawson6069]

@@WujuStyler I ultimately decided on audio engineering while enrolled at Belmont university. It’s a good mix of electronic and music and some of those science things that really get me excited. A lot of people wanted me to do piano or voice as a major because those are my two best instruments by a long shot, but I didn’t see how I could further the connection of science in those fields. I am also exploring the science of coffees and such as I’m planning to work as a barista while in college. Eventually I may try to get a undergraduates degree in chemistry but I’m happy where I am now so I have no current plans for that

[@AmazingLube]

I learned all of this in school but my teacher had a hard time explaining it. You are way better at it.

[@Taikamuna]

_"They're never gonna meet"_ *_PERMANENT LONELINESS_* -Michael 2019

[@ganagal6546]

Take that lines

[@lambchu6459]

-Michael [on "...you and your waifu" (circa 2019)]

[@zoyuu]

I see u legit everyday

[@sleonard-lu7bo]

Looks like I’m a parallel line

[@oexnorth]

Russian troll bot detected.

[@justaregulartoaster]

Michael more and more reminds me of a retired scientist who's gone crazy and now secretly uploads videos to the internet from the psychiatric facility

[@hectoralejandrotorrespopoc9232]

Erich Roethlisberger This Remembers me to Dr. Walter Lewin xD

[@654pedro123]

@@hectoralejandrotorrespopoc9232 Same, xD.

[@QuadroMan1]

You should see Cliff on Numberphile

[@doctordank4229]

so that's why he isn't uploading on vsauce1

[@ActionJackson669]

Michael makes his videos during rec time at the institution 😭😭😭

[@rowan1691]

I love how you don’t just say “this is Thales Theorem and how to use it”, but rather you go in depth and offer explanations of how and why it works, opening up so many new ideas and concepts. Thank you for sharing your amazing work

[@menthaspicata1571]

"Oh oops, this is my short sided ruler" - Micheal Early 2019

[@_spiderz_571]

A year has passed since you commented? Do u remember yourself watching this video?

[@benben4967]

@@_spiderz_571 I dont think he does

[@ettaoudianas6748]

@@_spiderz_571 do you remember making this comment?

[@i-win]

Michael's toys 2.0 looks great!

[@AxxLAfriku]

I will now count to 4 and then I am still the unprettiest KZbinr of all time. 1...2...3...4. Thank you for your attention, dear michaels toys

[@Nick_1911]

Plot twist , we(viewers) are Michael's toys because Michael is playing with us :D

[@lilianaortiz2798]

Second best show of 2019

[@marre8974]

Oh yeah yeah

[@apersonontheinternet7607]

@@Nick_1911 It depends on which sense, with a channel named Dong ( ͡° ͜ʖ ͡°)

[@GoldenTV3]

Teaches entire sophomore geometry in 24 minutes.

[@Derrythe01]

This is a perfect example of what I love about your shows. I can show this to my 7 year old (which I did) and he actually learns something because you walk through all of the steps to finding out how things work in a way that he can follow but makes it entertaining for people who already understand the concepts.

[@icejamevents]

This video includes 90% of everything I learned in my geometry class in 20 min.

[@ginbelg1]

The system will find a way to emply loads of people yet underpay them to work 8 hours a day for years to accomplish something a private citizen can do in 20 minutes

[@theinfinitylab2727]

Zachary Mazur yes so true this is a summary of like the whole "proving triangles congruent" and "proving lines parallel" units in geometry

[@chironroe8288]

Yup, and that is because Michael is a good teacher. He also doesn't have to compensate for slow learners, because one could just re-watch the video, yet a school teacher would have to go slower and repeat themselves to make sure all the students understand. If the teacher could go at their own pace without interruption, it would of course be quicker. School teachers for the most part are trying their best.

[@ahmedshaikh7662]

I was looking for this comment. And its so true.

[@poddime]

'This is a family friendly show' _Literally moments ago was making out with a skull_

[@nopenope1305]

A compbutt

[@e11eohe11e]

@Xavier VK That's funny since þ looks like p and b put together. But that would be pronounced comthutt. 😂 Fun Fact: þ is called Thorn and makes a "th" sound. So on old signs where it said "þe olde tavern," people like to say "ye olde tavern" because it makes it sound old, but it was literally "the olde tavern."

[@elleoat]

@@e11eohe11e oK why then did they not use an "eth" (ð) instead of a "thorn" (þ) as the "eth" makes the soft "th" that we use in words like the or there?

[@elleoat]

What do you mean? What kind of family do you live in?

[@sw3aterCS_]

I thought the and there are pronounced with hard THs?

[@jakepresley1545]

13:50 the crazy thing is was that I’m just listening to this while doing my geometry homework, and I kept hearing 180 so I look over and see that the problem you drew, was the same “congruent” problem as mine. I’m spooked now.

[@bemshire]

Why do I feel like I am getting smarter and going insane at the same time?

[@portalmanHUN]

Now you know why they say ignorance is bliss

[@adolw3266]

I love that Micheal is just hijacking the dong channel to show off his geometry skills and everyone loves it

[@wrhythm]

It's probably an experiment in intersecting audiences.

[@Jerkasaur]

D!NG

[@reabkire]

It's always been a miracle to me, how Michael can be this memey, be this much of a science nerd (in the best and positive way) AND is even able to comminucate his thoughts so well. Gotta love this guy.

[@S85B50Engine]

This is why I love demonstrations that use geometry, they are so simple to understand, and so elegant because they are so tangible.

[@pauliejay4161]

That intro is pure satirical gold.

[@magpie405]

That short sided ruler made me laugh a lot

[@Sebz]

Same

[@turcandumitru]

Damn, Michael flexin' on us with his golden watch.

[@usagi2934]

And ring

[@MrCimik]

I believe it was a gift from his wife.

[@Miles_Wanderer]

I actually smiled automatically in fascination when i saw all of this connect THANKS MICHAEL!!

[@Kangooroo08]

14:11 I think he has some left over frustration from that experiment... Poor Michael.

[@RiggingDoctor]

I take it Dong is the new VSauce

[@kpman644]

Rigging Doctor He said he's working on one massive vsauce vid

[@camerongray7767]

Kevin O'Riordan Really? Tell me more

[@DiamGR]

He's also working on a massive dong video

[@bassemb]

DONG (at least as it is now; it started as something different) is much smaller in scale than Vsauce, and deals with less abstract and wide-ranging topics. It's mostly about tangible objects, mathematics, and applied physics.

[@deadross3894]

@@bassemb r/woooosh

[@abhinavsahal5572]

He's embracing the meme celebrity he is

[@Gooberpatrol66]

DONG but out of context

[@Skystrike70]

>says show is family friendly >literally names it dong

[@kliop00023]

not that laughable in this one...

[@CoffeeD_1]

Skystrike70 mmmmmh you touch my tralala mhhhhhhhhh my dingdingdong

[@joshthefantasydude9254]

4:49 That's unfortunate, but you know, life is all about mistakes, and it's all about being imperfect. And bad. So, good work everyone!

[@MurshidIslam]

At 4:23, Michael says, "Now Thales's Theorem tells us that the two other points, where these rays contact the circumference, are diametrically opposed. They are on opposite sides of the circle and a line passing through them will pass through the centre." Isn't this the converse of Thales's Theorem? Yes, the converse is true as well, but what was stated in the video isn't Thales's theorem; it's the converse.

[@EkajArmstro]

Yea this is what I'm thinking as well, and the proof at the end does not prove the converse. I think the proof of the converse follows from the inscribed angle theorem, and I found this proof of that: kzbin.info/www/bejne/g6rdeImYeK2ba68

[@hrrawr]

I had forgotten what it was like to enjoy math. Thank you.

[@heisselnicholaspramoedya8121]

Math become unenjoyable when they introduces letters

[@gubre2195]

Boi! You baisicly are saying what I am when I fricken watch vsouce

[@Ottmar555]

@@heisselnicholaspramoedya8121 Only because it is not taught the correct way. Basic algebra can be quite intuitive if you have some geometric background. But computation ability is seen as more important instead of actual comprehension of the subject. It is a true shame.

[@arsnohachikoi1767]

BRO! Same here!!!

[@arwa7067]

Michael: "You will need one comp--" Viewers: ... Michael: "I'm sorry this is a family channel, a compBUTT." me: *this is why I love this man*

[@user-jb1tn9tk7y]

GOODgod

[@plasmatorproducer]

It's a pair of compbutts though

[@josehuertamiranda8176]

I feel like compass is better than cumbutt

[@astxrism6608]

ComBUTT

[@bobanagram6769]

HAHA you repeated his joke bravo

[@BeJustFearNot]

Thank you!!! I always have heck of a time finding a circle's true diameter in pursuit of it's center. I knew there had to be a way to check one's work without remeasuring and redrawing the crosshairs. Thank you for answering the questions people overlook or don't think to ask.

[@MontyCantsin]

That was wonderful, but at the end you proved this: Given that you have a triangle with vertices on a circle, if one edge is a diameter of the circle, then the opposing angle is a right angle. You wanted to show the converse: Given that you have a triangle with vertices on a circle, if one of its angles is a right angle, then its opposing side is a diameter of the circle. Granted, the steps to prove this direction were also explained very nicely in the course of the video, so it's not the biggest crime of the century.

[@milad.nikzad]

That’s what I was thinking!

[@ActionJackson669]

Is that not the same exact thing? Or is it not true that if you have a right angle, then the opposite side is always the Diameter of the circle, given the vertices are on the circle

[@imaghostbtw]

What's a good way to make a perfect circle without a compbutt? The only other way I know is to draw a realistic face then erase all the details until your left with a circle

[@LightningSe7en]

Idk man that's too simple. I like to plant a tree, make paper from that tree which I use to write to a friend to draw a face who then erases the details to eventually make a circle. Simple.

[@ganaraminukshuk0]

Does it also work with drawing an owl and erasing everything but the fork-ing circles?

[@metruna]

I like Square Pants too.

[@clarahowson2911]

M. rta. How many comments did you say this on?

[@berdyie]

First I draw this head. Then I erase some of the more detailed features. And then one-two-three, a circle!.. uh.. thingy?

[@RobinBrewsBeer]

It literally doesn't matter what this guy talks about. I will be completely engrossed, and I will finish the video.

[@arnovj1]

That's respect.

[@prylon1908]

I was about to click off half way through then got mad at myself because it would disrespect michael

[@NeilCrabbe]

Did you see him find out if a watched pot boils?

[@AldrenBriones]

19:52 michael: "A and B. The center I will label..." me: "C" michael: "...O" me: o h

[@alexandermaverick9474]

gorgeous video! gotta send this to students and math enthusiasts, I really like your use of the proper math terms, without being scared that people will lose the track. Love the more mathematical approach of a concept that is taught so early!

[@funnyvideos-funnyoutloud2618]

It's like I am 6th grade schoolboy again, but my teacher is having existential crisis -_-

[@sharonjuniorchess]

Don't they all? We used to make a game of making them all go mad.

[@velx2495]

I love Michael's bald head.

[@Zeppec]

Me too i wanna lick his head

[@fundemort]

I miss his head pops up from the bottom of the screen.

[@Reptarevangelion]

mood

[@civilizedzombie8760]

i like eggs too

[@KrXza]

Civilized Zombie LMAO

[@legendarypillow1450]

Micheal is truly something else. A polymath of great proportions and an amazing comedian.

[@izaactheberean6860]

Well, you could also fold the paper to connect one half to the other, then again with a different diameter & their intersection is also the midpoint. Only works under certain circumstances though.

[@whatif7229]

Best intro to any video on youtube

[@kpk1171]

ayye 100th like

[@Tweogan]

is this sarcasm? because I assume the vast majority of dislikes are due to the intro

[@bigfly1391]

Tweogan That intro is absolute gold! The hell are you saying?

[@diegoenciso7693]

It would be great to see this man talking about college calculus

[@oreggon9355]

Diego Enciso he said in a Ted-X speech that he tries to make the videos so that everybody can learn something from/understand the videos. College calculus isn’t exactly everybody, and would likely be boring to the people who do know calculus.

[@mastershooter64]

Lmao whats college calculus

[@atharvadeshpande2409]

3blue1brown

[@RatKeeperDude]

@@mastershooter64 multi-variable is not usually taught in HS

[@jojoversus1100]

@@oreggon9355 I totally feel you bro, but I've been watching Michael for a decade now, & he ALWAYS, without fail, makes ANYTHING easier to understand. He's an amazing teacher. He really is.

[@jwvandegronden]

what I love about this way of finding the center of a circle is you don't need to measure any line. The way I used to do it, is quicker but less accurate I think. Draw a line, anywhere through the circle, take the middle of that line within the circle and draw a perpendicular line, again through the circle and measure that half way point, that should be the center of the circle. This requires two measurements, two possible moments for imprecision. But it is quicker. Both ways help you understand the characteristics of mathematical shapes and their properties. Love it!

[@zacharyragland3365]

WHEN THE TRIANGLE IS SAS

[@zacharyfilion1437]

My man out here flexing that gold watch

[@bardisaythen4392]

It came from the KZbin red series money

[@cadepatton6418]

I think Michael just forgot the vsauce one password.

[@evanlino6769]

You mean pbuttword!

[@GEB_rosee]

is the last 9 digits of π

[@hridoysarkar050]

Oh man, you are a legend. I'm studying in 10th grade. I just came here to know Thales theorem. But you covered all the topics in my syllabus in one shot. Thanks. 😍

[@gamesbecauseyes9067]

3:58 I agree. I've cut my leg on that book so many times

[@suzizann5877]

"But you don't always have a compbutt" ~ Michael Stevens

[@kai4486]

This Michael guy is really cool, he should make a KZbin channel!

[@notwildcard377]

Please include me in screenshot if you woooosh someone

[@ramosdetrigo]

@@notwildcard377 ok

[@vicirdek2275]

r/whoosh

[@vicirdek2275]

Okay im putting this on reddit now and im including you

[@kai4486]

Asjad Ali, I think we both know that won’t happen

[@RadioactiveHax]

I remember learning this in 3rd year highschool geometry and it stuck to me. Really useful stuff; but the Thale's Theorem was new to me. Thanks Michael.

[@legendarytwister3656]

you actually surprised me a lot of times with those simple examples i wish i had teacher like you

[@astroneural]

Imagine thinking of that and not having a video to help you. This Thales dude is smart.

[@jaok6568]

Yeah, the greeks are very cool.

[@Orrphoiz]

he's also dead.

[@wizardo9226]

are you sure he didn't get that from this video?

[@astroneural]

@@wizardo9226 that’s what I thought at first but if you check the dates Thales was a couple thousand years earlier

[@wizardo9226]

@@astroneural oh I see different timezones and what not

[@handsomelspunge4829]

This video is just an excuse for Micheal to flex his brand new Rolex. Smh

[@thatcrystalpie]

hahaaaaah

[@sturmifan]

he's a watch guy, and I can relate to him

[@TAiles13]

Isnt it a slow watch?

[@Swagner17]

I feel like Michael is fighting agaisnt some haters or some type of competition. He really ensured he got everything correct in this video; either way I love the hard work and dedication that goes into the production of all the videos.

[@zestyammar1973]

4:30 foes

[@likebot.]

Remember, your are responsible for your axioms and your axioms have consequences.

[@citrusfruitunion7382]

you could argue that is the principle (or even axiom) that the entirety of mathematics is built on but okay.

[@panta_rhei.26]

wHeN wIlL yOu LeArN *WHeN wiLL YOu LEaRn* *_THAT YOUR AXIOMS HAVE CONSEQUENCES_*

[@ConceptHut]

Well that's a very cool statement. Thank you.

[@axiom6919]

10-4

[@FreeMindedMason]

Not to be confused with Axion, the snowboard gear company

[@sarath_sajan]

Me: Mom, buy me this great book. Mom: What's so special about this book? Me: Because it has a nice sharp right angle.

[@volgnvybz7747]

You should be a teacher, i wish you were my teacher. I am now a university lecturer and I have to say, you have a great way of explaining and making things interesting.

[@Lucky32Luke]

Michael, this video was reminding me of a challenge we were given as a fun mind bending problem at uni (I was never able to solve it). A gardener had to take care of a perfectly circular lawn and he had a goat he was planning to use to eat up the overgrown grass. But the lord said to him he only needs the half of the lawn in that circle to be cut back. The question was how long the leash needs to be on the goat if the stick holding the leash must be installed on the perimeter of this garden?

[@repsforjesus3563]

I want someone to talk about me like Michael talks about his drawings *Beautiful* *Beautiful* *PERFECT*

[@rorygoode3266]

But he also said:"make this longer" 😪

[@rr.studios]

He also said "Permanent loneliness" ( ͡ᵔ ͜ʖ ͡ᵔ )

[@lvbboi9]

Im getting MoNika vibes

[@jeffreyluciana8711]

Why did I divide sin by tan? Answer: Just cos.

[@user-sf1uc7ft1t]

Just cos I 1ted 2

[@the_haakinton8924]

I was going to like this comment but it has 69 likes...

[@xenomni1673]

Just sec

[@chromiyum6849]

@@xenomni1673 that's 1/cos

[@bl1398]

cos what?

[@captainretro373]

2:02 Michael: compbutt *trying to be family friendly* KZbin automatically generated subtitles: cum pot

[@TheZmoliver]

So good. I've been doing trig for a year and sometimes it's just nice to be reminded of why angle sum identity works.

[@br45entei]

The angle that he drew at 13:03 was nearly a perfect half circle. Wow.

[@therainbowwillow4453]

Brian Entei I literally showed that arc to my parents it was so beautiful.

[@alexw.outdoors4269]

its not like he used two straight lines or anything...WOW.

[@john_duncan]

haha i saw that too.

[@literalcode]

He forgot to intentionally make it imperfect

[@JA-nv4zb]

@@alexw.outdoors4269 ? Do you not understand that he could have made a half oval or a half rectangle? A perfect half circle is hard to achieve, with or without two straight lines

[@nemer_k]

spent half a year in middle school learning something that could be learned in less than half an hour

[@connorscosette5440]

oh well , i don't care about geometry anymore , i'm a medical student

[@imyourmaster77]

You spent half a year in this? We spent only a couple of classes but it was because we exercised on it. But I do agree teaching should be far more focused on explaining the why and be a lot more intuitive.

[@dineshmathsclasses2514]

Nice explanation,I got a different perspective of the Thale's theorem by this video, thank you so much for your time and effort.

[@quantum2773]

By definition, inscribed angles, angles that lay on the diameter of a circle, equal 1/2 of its corresponding arc length. And, a central angle, an angle that lays on the center of a circle, equals its corresponding arc length. A diameter is basically a straight line central angle. So, a straight line, which by definition equals 180 degrees will always have a corresponding arc length equal to 180 degrees. As I said before an inscribed angle is 1/2 of its corresponding arc length. So, an inscribed angle with a measure of 90 degrees will have a arc length of 180. Connect these points and you have a straight line central angle or, simply put, a diameter. Two diameters intersect at the center of the circle, so this is another way to explain Thale's Thereom.

[@ieuangriffith1742]

If Thales' Theorem always works does that mean it's Thale-safe

[@boxofparadoxes1988]

Ieuan Griffith underrated comment

[@UNOwen-yc3es]

@Ben Höflinger You need a perspective, a right-angled perspective.

[@UNOwen-yc3es]

@Ben Höflinger Well, aren't we all more than one-sided? It seems irrational and it goes round and round before we ever feel bliss and we will probably never meet true happiness. I suppose that is a-parallel and it is nice seeing someone with a similar and congruent "vector-of-view". I wish you the best of luck for your endeavours and remember plot the points on your graphs clearly and ensure you check your formulas and inputs before submitting.

[@UNOwen-yc3es]

@Ben Höflinger I mean, someone had to eventually. I was just making a point. Thank you, you cor-responding to me means a lot. Perhaps, just another day. Deepest gratitude.

[@UNOwen-yc3es]

@Ben Höflinger Back to you.

[@dr.avalanche4994]

I’m 100% sure Michael does weird things in hope to feed the meme community

[@daniellaffan6992]

14:18

[@ssathessa]

Actually he mentioned this in a podcast with Kevin

[@joyo4597]

He is a comedian, its funny

[@MrHauerManuel]

The pause after the intro was amazing 00:40

[@surrealdynamics4077]

Such a lovely demostración of the theorem. Thanks Thales! Thanks Michael!

[@madkirk7431]

I love how he censored compass 😂

[@imhulki463]

The closest we will ever get to an actual Vsauce episode

[@alessandromangaXD]

This is just a geometry class, literally just a geometry class. Entertaining, instructive, but much less than what Vsauce ever was.

[@imhulki463]

@@alessandromangaXD yup, but I feel like this one was better than the the rest of the dongs

[@default632]

vsause is now red only. poor me cannot watch them

[@loamguitar]

Anyone else get really anxious that Michael was going to accidentally stain the side of his book blue?

[@X.L.B1]

Liam McLaughlin riiight. He’s also gunna have a magenta ring around his decoder😱

[@elliotlea5457]

We all did, I think.

[@BogdanAndreiRO]

@@elliotlea5457 nope, get your facts right.

[@Nen_niN]

@@BogdanAndreiRO Cakeportal: "We all did, I think" Emphasis on "I think"

[@BogdanAndreiRO]

@@Nen_niN lolol

[@gabitheancient7664]

geometry is so beautiful that seeing someone constructing it from 0, even tho I know everything you did, for the 390493th time is still amazing for me

[@willsterjohnson]

Why can't schools teach math like this? Y'know, in a way that actually shows you why things are what they are rather than just telling you to memorise the consequences without ever explaining the cause. This helped me understand so much about geometry in 24 minutes than hours upon hours of study at school. I'm 21 years old and had no idea why the angles in a triangle sum to 180 until now.

[@beenathomas9153]

I'm not complete, without the "Hey, VSauce, Michael here!"

[@GeraltofRivia22]

You mean, "here, Hey, Michael VSauce".

[@cactuslactus6007]

*"Hey, DONG, Michael here!"

[@nikolajnrregaardmunk9436]

Nothing like listening to smooth jazz whilst Micheal Stevens is teaching triangles.

[@boobrowsky]

maniacally kind of

[@uchieunguyen287]

The Thales's theorem I know and what he's telling us about is quite different. In my education system, we get to learn that Thales's Theorem is about the ratios set out in a triangle when a line is parallel to one side of a triangle and that line intersects the other 2 sides. And what Micheal is talking about is what we consider as another we describe the opposite theorem of the median to the hypotenuse of a right triangle.

[@AJD...]

my grade 8 geometry teacher: exists Michael: I'm about to end this man's whole career

[@bookdream]

I am going to start using the more appropriate and sophisticated "comp-butt". Still deciding whether or not i'll keep the "p" in.

[@JustAnthon]

Nah, you should rather just go to the toilet... holding your p isn't healthy

[@BedlessSleeper]

Try googling comp-butt.

[@cornbreadloverrr]

Keep the P in for the com butt experience

[@durdleduc8520]

_com _*_p_*_ butt_