Thales's Theorem
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- Опубликовано: 13 июн 2024
- LINKS TO LEARN MORE BELOW!
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Wask (strange objects like the short-sided ruler): waskstudio.com
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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 
Развлечения
What kind of madman says "compbutt" several times and keeps a straight face.
I believe it is pronounced "Cum(p)butt"
I can do that
We called them compasses at school. I'm so confused. Subtitles said it was spelt "kumbha" ????? compbutt? you sure?
he's a genius
Germany here, 5th and 6th grade
Did I really just watch a 24 minute high school geometry lecture?
We did. Yes we just did.
I learned more from this 24 minute lecture than my entire high school geometry class
Phoenix White well, you should’ve paid more attention in class.
That's too obvious for a high school
middle school
Teacher: "The angles of a triangle always add up to 180 degrees."
Student: "Why?"
Teacher: "Uh, well, it's--"
Michael: "Hold my compbutt"
Cumbutt
Cumjar
I think, we also did the proof for this in school.
@@kryptokly1435 yes indeed
Proving the 180° triangle is in the school system in my country
i lost it when he pulled out the "short sided ruler"
0:56: Shouldn't that be a compdonkey?
5:52
They’re sold out. Big sad
L
They could be shorter if the length was its thickness
This dude just used circles to teach us about triangles and plugged his product line in the process.
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.
its hostility impressive how he does all that and somehow keeps our attention throughout a 9th grade geometry lesson
he's not a dude, _he's a man_
Dubaron mad skills
Yeah, but it was about math, so it was worth it.
Michael probably forgot the pbuttword to his main channel.
Maybe
He tweeted about you. You did it.
LOL good one
Ayyy
hahahah that was what i was thinking
Micheal: teaching basic geometry i already know
Me: still fascinated
Yeah me too
Michael's smooth like that.
ruclips.net/video/WxYH5CXbpYA/видео.html
@@jojoversus1100 like ur pfp
@@mihailmilev9909 Thanks! I drew it myself!
Michael seems like an immortal being that's trying to relate to the cool kids
And succeeding
Correction: Michael IS an immortal being that's trying to relate to the cool kids
"How do you do, fellow kids?"
Maybe he's Tom Bombadil.
Almost sure he forgot the password to his main channel at this point.
Greg Villafane oh yeah yeah
O yeye
He's been uploading a new series of Mind Field, & three of the episodes are free!
Just use the ice breaker. Hope he was properly trained in its operation.
No, RUclips Red stole his password
Me: proves Thales theorem through known geometry
Micheal: proves all of Euclidean geometry in order to prove Thales theorem
The 5 postulates
some day, so kid will have to say, "that's, MY DAD"
@@derpatel9760 Vsauce: Or am I?
That’s my 50orfewer-th cousin.
😂
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..."
When I heard him saying "Elements" I thought it would be the Euclid's book.
@@ShapeDoppelganger same
@@shivamchouhan5077 approximately equal
@@ShapeDoppelgangerthat's the joke
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
When did you first learn this?
@@hextav Thanks, I'm not a native English speaker.
In India we learn that in 5th grade
That too in one week, not one semester lol
@@Shashank_ssm padhle bsdk
"Ooh, they're never gonna meet, take that lines. Permanent loneliness..."
Dang dude what the heck
14:11
Frog Boot
“Take that lines”
(Permanent loneliness)
😿
dong
Frog Boot me
michael is such a chaotic neutral
What makes a man turn neutral?
More like chaotic chaotic.
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?
yusuf red he more often acts chaotic neutral than chaotic evil though. See “Vsauce without context”
Michael: Compbutt
Me: Semenpass
its actually semenpbutt
HMMMmMmmMmmmmmmMmmmmmmmm~~~
semenpee, because the pass part sounds like piss. so semenpee instead of cumpiss
@@423adriana sepersonurine. can't say men, that's sExIsT
@@dylankrejci9965 seperchildurine. can't say son, that's sExIsT
Michael's tongue-and cheek response to having to change the name of the show to d!ng bc dong wasn't family friendly
there was never a ding, only a dong
nelson mandella effect
good point.
This channel has always been called D!ng. There was never a Dong. Maybe you're thinking about the Hostess chocolate cake?
_"They're never gonna meet"_
*_PERMANENT LONELINESS_*
-Michael 2019
Take that lines
-Michael [on "...you and your waifu" (circa 2019)]
I see u legit everyday
Looks like I’m a parallel line
Russian troll bot detected.
I basically sat through a geometry lecture and enjoyed it
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...
Michal good at that
Yeah, michael is a good teacher ;)
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
@@xuanpang1972 he's making more money being a RUclipsr and a living meme
i love how instead of doing math homework i decide to watch a math related video for 20 minutes
Doctor: “You are in a mental hospital”
Michael: “Or am I”
Doctor: “Yes, you are”
This entire vid was just for Michael to flex on us with his gold watch
His gold wristband with a white area and a stick.
if i ever see Michael in my hood wearing that gold watch, i'll ask him "what time is it?"
That watch has hands, where are your fingers?
Looks like he is wearing a "Slow Watch" - a watch with just one hand and 24h dial. Cool!
I didn’t even notice it
This video has a bit of a "I just a had a psychotic break" vibe, and I love it.
L3SSTH4NL33T If you haven’t already check out DogBeef’s video Inside the Mind of Vsauce
i had a psychotic break recently
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.
i remember watching this video a long time ago. i didn't retain anything from it, but now in 9th grade, taking geometry, and I know all of this. i know congruence, isometries, SAS, corresponding angles, verticle angles, the reflexive property, and ITBAT. i know everything you told us in this video, and its a pretty incredible feeling to recognize all that, see it proved, and see it all put together like this.
Similar experience, the first time I watched it I had no clue who Thalis even was, then after taking these lessons and finally finding this video again today after all this time, it was so satisfying.
He has fully embraced the memes now. My life is complete
*jazz muzic stops
Michael's toys 2.0 looks great!
I will now count to 4 and then I am still the unprettiest RUclipsr of all time. 1...2...3...4. Thank you for your attention, dear michaels toys
Plot twist , we(viewers) are Michael's toys because Michael is playing with us :D
Second best show of 2019
Oh yeah yeah
@@Nick_1911 It depends on which sense, with a channel named Dong ( ͡° ͜ʖ ͡°)
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)
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!
Update??
@@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
"Oh oops, this is my short sided ruler" - Micheal Early 2019
A year has passed since you commented? Do u remember yourself watching this video?
@@_spiderz_571 I dont think he does
@@_spiderz_571 do you remember making this comment?
Teaches entire sophomore geometry in 24 minutes.
'This is a family friendly show'
_Literally moments ago was making out with a skull_
A compbutt
@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."
@@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?
What do you mean? What kind of family do you live in?
I thought the and there are pronounced with hard THs?
I learned all of this in school but my teacher had a hard time explaining it. You are way better at it.
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.
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
Erich Roethlisberger This Remembers me to Dr. Walter Lewin xD
@@hectoralejandrotorrespopoc9232 Same, xD.
You should see Cliff on Numberphile
so that's why he isn't uploading on vsauce1
Michael makes his videos during rec time at the institution 😭😭😭
Why do I feel like I am getting smarter and going insane at the same time?
Now you know why they say ignorance is bliss
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
I love that Micheal is just hijacking the dong channel to show off his geometry skills and everyone loves it
It's probably an experiment in intersecting audiences.
D!NG
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*
GOODgod
It's a pair of compbutts though
I feel like compass is better than cumbutt
ComBUTT
HAHA you repeated his joke bravo
That intro is pure satirical gold.
I actually smiled automatically in fascination when i saw all of this connect
THANKS MICHAEL!!
That short sided ruler made me laugh a lot
Same
I take it Dong is the new VSauce
Rigging Doctor He said he's working on one massive vsauce vid
Kevin O'Riordan Really? Tell me more
He's also working on a massive dong video
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.
@@bassemb r/woooosh
This is why I love demonstrations that use geometry, they are so simple to understand, and so elegant because they are so tangible.
14:11
I think he has some left over frustration from that experiment... Poor Michael.
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
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.
Does it also work with drawing an owl and erasing everything but the fork-ing circles?
M. rta.
How many comments did you say this on?
First I draw this head. Then I erase some of the more detailed features. And then one-two-three, a circle!.. uh.. thingy?
S P U N G B O B
He's embracing the meme celebrity he is
DONG but out of context
>says show is family friendly
>literally names it dong
not that laughable in this one...
Skystrike70 mmmmmh you touch my tralala mhhhhhhhhh my dingdingdong
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.
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!
This video includes 90% of everything I learned in my geometry class in 20 min.
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
Zachary Mazur yes so true this is a summary of like the whole "proving triangles congruent" and "proving lines parallel" units in geometry
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.
I was looking for this comment. And its so true.
Why did I divide sin by tan?
Answer: Just cos.
Just cos I 1ted 2
I was going to like this comment but it has 69 likes...
Just sec
@@xenomni1673 that's 1/cos
cos what?
Micheal is truly something else. A polymath of great proportions and an amazing comedian.
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.
Remember, your are responsible for your axioms and your axioms have consequences.
you could argue that is the principle (or even axiom) that the entirety of mathematics is built on but okay.
wHeN wIlL yOu LeArN
*WHeN wiLL YOu LEaRn*
*_THAT YOUR AXIOMS HAVE CONSEQUENCES_*
Well that's a very cool statement. Thank you.
10-4
Not to be confused with Axion, the snowboard gear company
It literally doesn't matter what this guy talks about. I will be completely engrossed, and I will finish the video.
That's respect.
I was about to click off half way through then got mad at myself because it would disrespect michael
Did you see him find out if a watched pot boils?
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.
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: ruclips.net/video/MyzGVbCHh5M/видео.html
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!
I love Michael's bald head.
Me too i wanna lick his head
I miss his head pops up from the bottom of the screen.
mood
i like eggs too
Civilized Zombie LMAO
Damn, Michael flexin' on us with his golden watch.
And ring
I believe it was a gift from his wife.
3:58 I agree. I've cut my leg on that book so many times
When you pulled out that elements book I had flashbacks to when I was 6 and brought that exact book into school for reading time, safe to say I was (and still am) a massive nerd. I then went and found the book and it’s still in perfect condition.
I had forgotten what it was like to enjoy math.
Thank you.
Math become unenjoyable when they introduces letters
Boi! You baisicly are saying what I am when I fricken watch vsouce
@@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.
BRO! Same here!!!
This video is just an excuse for Micheal to flex his brand new Rolex. Smh
hahaaaaah
he's a watch guy, and I can relate to him
Isnt it a slow watch?
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.
That’s what I was thinking!
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
19:52
michael: "A and B. The center I will label..."
me: "C"
michael: "...O"
me: o h
If Thales' Theorem always works does that mean it's Thale-safe
Ieuan Griffith underrated comment
@Ben Höflinger You need a perspective, a right-angled perspective.
@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.
@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.
@Ben Höflinger Back to you.
Best intro to any video on youtube
ayye 100th like
is this sarcasm? because I assume the vast majority of dislikes are due to the intro
Tweogan That intro is absolute gold! The hell are you saying?
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.
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.
I think "compass" sounds a lot less dirtier than "cumbutt".
**gasp**
you said the "a" word..... get outta this christian channel >:(
I see what you did there 😏
RUclips Monetization *DISAGREES*
lol
Omg i didn't realize why he was saying compbutt throughout the entire video cause I didn't see anything unchristian about compass
It would be great to see this man talking about college calculus
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.
Lmao whats college calculus
3blue1brown
@@mastershooter64 multi-variable is not usually taught in HS
@@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.
my grade 8 geometry teacher: exists
Michael: I'm about to end this man's whole career
it´s always great to watch your videos, plus you learn.
Anyone else get really anxious that Michael was going to accidentally stain the side of his book blue?
Liam McLaughlin riiight. He’s also gunna have a magenta ring around his decoder😱
We all did, I think.
@@elliotlea5457 nope, get your facts right.
@@BogdanAndreiRO
Cakeportal: "We all did, I think"
Emphasis on "I think"
@@Nen_niN lolol
"But you don't always have a compbutt"
~ Michael Stevens
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.
you actually surprised me a lot of times with those simple examples
i wish i had teacher like you
This Michael guy is really cool, he should make a RUclips channel!
Please include me in screenshot if you woooosh someone
@@notwildcard377 ok
r/whoosh
Okay im putting this on reddit now and im including you
Asjad Ali, I think we both know that won’t happen
My man out here flexing that gold watch
It came from the RUclips red series money
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.
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?
Anyone else miss, *"Hey, VSauce. Michael Here"* ?
this ain't vsauce
Titanium Wolf yes... that’s the point smh
@@parast1721 ....
We are the sauce
@@titaniumwolf439 you are partially correct
It's like I am 6th grade schoolboy again, but my teacher is having existential crisis -_-
Don't they all? We used to make a game of making them all go mad.
Such a lovely demostración of the theorem. Thanks Thales! Thanks Michael!
This will forever be my favorite Vsauce video. The only other one that can hold a candle is about counting.
Dis boi deadass made out with a skull
I guess he's in to older people
marijnnk right! Sorry.
The skull was on top. It made out with him.
I hope this is satire. If not then your grammar is that of a 13 year old to cool for school kid.
this a fam show. deadbutt
hello freshman geometry
sean my man
*Nam flashbacks*
Oh hey
Or earlier.
My geometry teacher was named Mr. Hogan.
4:30 foes
You could also use perpendicular bisectors to find the center of the hypotenuse, which is always going to be the center of the circle because of the theorem. It would eliminate the need to draw two right triangles and would have the use of just the one triangle. If you need to double check, you can always draw a perpendicular bisector on the hypotenuse OR draw another triangle and verify the center of the hypotenuse matches up with the other center.
I think Michael just forgot the vsauce one password.
You mean pbuttword!
is the last 9 digits of π
I want someone to talk about me like Michael talks about his drawings
*Beautiful*
*Beautiful*
*PERFECT*
But he also said:"make this longer"
😪
He also said "Permanent loneliness" ( ͡ᵔ ͜ʖ ͡ᵔ )
Im getting MoNika vibes
2:02
Michael: compbutt *trying to be family friendly*
RUclips automatically generated subtitles: cum pot
We all need a teacher like this one at least ONE in our lifetime. Thank you Michael.
The angle that he drew at 13:03 was nearly a perfect half circle. Wow.
Brian Entei I literally showed that arc to my parents it was so beautiful.
its not like he used two straight lines or anything...WOW.
haha i saw that too.
He forgot to intentionally make it imperfect
@@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
spent half a year in middle school learning something that could be learned in less than half an hour
oh well , i don't care about geometry anymore , i'm a medical student
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.
The explaination really makes it really to understand
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
Nothing like listening to smooth jazz whilst Micheal Stevens is teaching triangles.
maniacally kind of
I’m 100% sure Michael does weird things in hope to feed the meme community
14:18
Actually he mentioned this in a podcast with Kevin
He is a comedian, its funny
The pause after the intro was amazing 00:40
I love how he censored compass 😂
Great Job! Well explained!!! Thanks for the excellent and cool explanations.
Imagine thinking of that and not having a video to help you. This Thales dude is smart.
Yeah, the greeks are very cool.
he's also dead.
are you sure he didn't get that from this video?
@@wizardo9226 that’s what I thought at first but if you check the dates Thales was a couple thousand years earlier
@@astroneural oh I see different timezones and what not