Thales's Theorem

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  • Опубліковано 8 чер 2024
  • LINKS TO LEARN MORE BELOW!
    Get my favorite brain food delivered to your door: www.curiositybox.com
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    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**
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    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
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  • Розваги

КОМЕНТАРІ • 8 тис.

  • @YostPeter
    @YostPeter 5 років тому +5738

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

    • @LucasAlexander
      @LucasAlexander 5 років тому +224

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

    • @nikkan3810
      @nikkan3810 5 років тому +13

      I can do that

    • @principal_optimism
      @principal_optimism 5 років тому +32

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

    • @RazorM97
      @RazorM97 5 років тому +47

      he's a genius

    • @nawid21
      @nawid21 5 років тому +10

      Germany here, 5th and 6th grade

  • @nicktokar2459
    @nicktokar2459 5 років тому +5192

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

    • @conficturaincarnatus1034
      @conficturaincarnatus1034 5 років тому +428

      We did. Yes we just did.

    • @OkamiDesuGa
      @OkamiDesuGa 5 років тому +402

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

    • @sepioify
      @sepioify 5 років тому +507

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

    • @mxj1337
      @mxj1337 5 років тому +98

      That's too obvious for a high school

    • @icevlad148
      @icevlad148 5 років тому +144

      middle school

  • @Ikebot
    @Ikebot 4 роки тому +3925

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

  • @odoyle6778
    @odoyle6778 3 роки тому +1532

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

    • @nihabkhan9184
      @nihabkhan9184 3 роки тому +20

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

    • @mrguest3749
      @mrguest3749 3 роки тому +12

      5:52

    • @jamesmurchie6157
      @jamesmurchie6157 3 роки тому +17

      They’re sold out. Big sad

    • @dewut420
      @dewut420 3 роки тому

      L

    • @cl0p38
      @cl0p38 2 роки тому +7

      They could be shorter if the length was its thickness

  • @CensoredHarbor
    @CensoredHarbor 5 років тому +3031

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

    • @frechjo
      @frechjo 4 роки тому +91

      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
      @colinfaherty661 4 роки тому +33

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

    • @yon8081
      @yon8081 4 роки тому +21

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

    • @spencerbrady2425
      @spencerbrady2425 4 роки тому +1

      Dubaron mad skills

    • @daviddo658
      @daviddo658 4 роки тому +5

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

  • @johnchessant3012
    @johnchessant3012 5 років тому +1569

    Michael probably forgot the pbuttword to his main channel.

  • @ahmedsherief724
    @ahmedsherief724 3 роки тому +1095

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

  • @pan_man69
    @pan_man69 3 роки тому +446

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

  • @gregvillafane9167
    @gregvillafane9167 5 років тому +7579

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

    • @thatfoodguy7661
      @thatfoodguy7661 5 років тому +71

      Greg Villafane oh yeah yeah

    • @quarterexploding
      @quarterexploding 5 років тому +16

      O yeye

    • @lawrencecalablaster568
      @lawrencecalablaster568 5 років тому +40

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

    • @demisama3038
      @demisama3038 5 років тому +8

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

    • @matthewzuelke6721
      @matthewzuelke6721 5 років тому +100

      No, UA-cam Red stole his password

  • @tixqu837
    @tixqu837 4 роки тому +3339

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

  • @triteraerlangga7917
    @triteraerlangga7917 3 роки тому +375

    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
      @ShapeDoppelganger 3 роки тому +16

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

    • @shivamchouhan5077
      @shivamchouhan5077 2 роки тому +3

      @@ShapeDoppelganger same

    • @krishnachoubey8648
      @krishnachoubey8648 Рік тому +1

      @@shivamchouhan5077 approximately equal

    • @Houshalter
      @Houshalter 9 місяців тому

      ​@@ShapeDoppelgangerthat's the joke

  • @user84074
    @user84074 3 роки тому +257

    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
      @segmentsAndCurves 3 роки тому +1

      When did you first learn this?

    • @segmentsAndCurves
      @segmentsAndCurves 3 роки тому +1

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

    • @Shashank_ssm
      @Shashank_ssm 2 роки тому +4

      In India we learn that in 5th grade

    • @ritwikism
      @ritwikism 2 роки тому +3

      That too in one week, not one semester lol

    • @manavshah8335
      @manavshah8335 Рік тому

      @@Shashank_ssm padhle bsdk

  • @peek_yew9369
    @peek_yew9369 5 років тому +1733

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

  • @aleksa13579
    @aleksa13579 5 років тому +404

    michael is such a chaotic neutral

    • @joshbobst1629
      @joshbobst1629 5 років тому

      What makes a man turn neutral?

    • @nikkan3810
      @nikkan3810 5 років тому +5

      More like chaotic chaotic.

    • @yboy898
      @yboy898 5 років тому +9

      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
      @ohboy1113 4 роки тому

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

  • @alacastersoi8265
    @alacastersoi8265 4 роки тому +334

    Michael: Compbutt
    Me: Semenpass

    • @somecat7272
      @somecat7272 4 роки тому +58

      its actually semenpbutt

    • @bonemann6107
      @bonemann6107 3 роки тому +1

      HMMMmMmmMmmmmmmMmmmmmmmm~~~

    • @423adriana
      @423adriana 3 роки тому +4

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

    • @dylankrejci9965
      @dylankrejci9965 3 роки тому +1

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

    • @user-gb5od8nh7m
      @user-gb5od8nh7m 3 роки тому +1

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

  • @blubberdust
    @blubberdust 4 роки тому +237

    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
      @frogz 3 роки тому +16

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

    • @pugsriel
      @pugsriel 3 роки тому

      good point.

    • @shaunmitchell1923
      @shaunmitchell1923 2 роки тому

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

  • @Taikamuna
    @Taikamuna 5 років тому +2609

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

    • @ganagal6546
      @ganagal6546 5 років тому +60

      Take that lines

    • @lambchu6459
      @lambchu6459 5 років тому +13

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

    • @zoyuu
      @zoyuu 5 років тому +8

      I see u legit everyday

    • @sleonard-lu7bo
      @sleonard-lu7bo 5 років тому +10

      Looks like I’m a parallel line

    • @oexnorth
      @oexnorth 5 років тому

      Russian troll bot detected.

  • @tvmoviemakers659
    @tvmoviemakers659 5 років тому +1220

    I basically sat through a geometry lecture and enjoyed it

    • @dyscea
      @dyscea 5 років тому +9

      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
      @sadtoast6122 5 років тому

      Michal good at that

    • @user-ve7dk5cp9w
      @user-ve7dk5cp9w 5 років тому +2

      Yeah, michael is a good teacher ;)

    • @xuanpang1972
      @xuanpang1972 5 років тому +1

      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
      @sadtoast6122 5 років тому +3

      @@xuanpang1972 he's making more money being a UA-camr and a living meme

  • @clarkcrichton
    @clarkcrichton 2 роки тому +57

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

  • @whatskrakin37
    @whatskrakin37 4 роки тому +41

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

  • @evanco5213
    @evanco5213 5 років тому +390

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

    • @asgeiralbretsen
      @asgeiralbretsen 5 років тому +4

      His gold wristband with a white area and a stick.

    • @BluntforceJ
      @BluntforceJ 5 років тому +1

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

    • @shadowsfromolliesgraveyard6577
      @shadowsfromolliesgraveyard6577 5 років тому

      That watch has hands, where are your fingers?

    • @aurigo_tech
      @aurigo_tech 5 років тому +2

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

    • @durdleduc8520
      @durdleduc8520 5 років тому +1

      I didn’t even notice it

  • @L3SSTH4NL33T
    @L3SSTH4NL33T 5 років тому +257

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

    • @zacozacoify
      @zacozacoify 5 років тому

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

    • @UnderscoreZeroLP
      @UnderscoreZeroLP 5 років тому +2

      i had a psychotic break recently

  • @jakepresley1545
    @jakepresley1545 4 роки тому +5

    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.

  • @temmiemew
    @temmiemew 2 роки тому +37

    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.

    • @user-py3kd6pw7y
      @user-py3kd6pw7y Рік тому

      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.

  • @LtCrispo
    @LtCrispo 5 років тому +210

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

  • @i-win
    @i-win 5 років тому +673

    Michael's toys 2.0 looks great!

    • @AxxLAfriku
      @AxxLAfriku 5 років тому +1

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

    • @Nick_1911
      @Nick_1911 5 років тому +3

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

    • @lilianaortiz2798
      @lilianaortiz2798 5 років тому

      Second best show of 2019

    • @marre8974
      @marre8974 5 років тому

      Oh yeah yeah

    • @apersonontheinternet7607
      @apersonontheinternet7607 5 років тому +1

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

  • @loganrawson6069
    @loganrawson6069 3 роки тому +40

    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
      @WujuStyler Рік тому +1

      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
      @greatballsack Рік тому +1

      Update??

    • @loganrawson6069
      @loganrawson6069 Рік тому +7

      @@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

  • @menthaspicata1571
    @menthaspicata1571 4 роки тому +141

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

    • @_spiderz_571
      @_spiderz_571 2 роки тому +2

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

    • @benben4967
      @benben4967 2 роки тому

      @@_spiderz_571 I dont think he does

    • @ettaoudianas6748
      @ettaoudianas6748 Рік тому

      @@_spiderz_571 do you remember making this comment?

  • @GoldenTV3
    @GoldenTV3 5 років тому +140

    Teaches entire sophomore geometry in 24 minutes.

  • @poddime
    @poddime 5 років тому +465

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

    • @nopenope1305
      @nopenope1305 5 років тому +33

      A compbutt

    • @e11eohe11e
      @e11eohe11e 5 років тому +15

      @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
      @elleoat 5 років тому +2

      @@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
      @elleoat 5 років тому

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

    • @sw3aterCS_
      @sw3aterCS_ 5 років тому

      I thought the and there are pronounced with hard THs?

  • @AmazingLube
    @AmazingLube 3 роки тому +26

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

  • @reabkire
    @reabkire 5 років тому +155

    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.

  • @justaregulartoaster
    @justaregulartoaster 5 років тому +550

    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
      @hectoralejandrotorrespopoc9232 5 років тому +4

      Erich Roethlisberger This Remembers me to Dr. Walter Lewin xD

    • @654pedro123
      @654pedro123 5 років тому +2

      @@hectoralejandrotorrespopoc9232 Same, xD.

    • @QuadroMan1
      @QuadroMan1 5 років тому +5

      You should see Cliff on Numberphile

    • @doctordank4229
      @doctordank4229 5 років тому +1

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

    • @ActionJackson669
      @ActionJackson669 2 роки тому +1

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

  • @bemshire
    @bemshire 4 роки тому +36

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

    • @portalmanHUN
      @portalmanHUN 3 роки тому +2

      Now you know why they say ignorance is bliss

  • @rowan1691
    @rowan1691 10 місяців тому +3

    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

  • @adolw3266
    @adolw3266 5 років тому +274

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

    • @wrhythm
      @wrhythm 5 років тому +1

      It's probably an experiment in intersecting audiences.

    • @Jerkasaur
      @Jerkasaur 5 місяців тому

      D!NG

  • @arwa7067
    @arwa7067 5 років тому +1800

    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*

  • @pauliejay4161
    @pauliejay4161 4 роки тому +26

    That intro is pure satirical gold.

  • @Miles_Wanderer
    @Miles_Wanderer 8 місяців тому +4

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

  • @magpie405
    @magpie405 5 років тому +635

    That short sided ruler made me laugh a lot

    • @Sebz
      @Sebz 5 років тому

      Same

  • @RiggingDoctor
    @RiggingDoctor 5 років тому +1521

    I take it Dong is the new VSauce

    • @kpman644
      @kpman644 5 років тому +149

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

    • @camerongray7767
      @camerongray7767 5 років тому +32

      Kevin O'Riordan Really? Tell me more

    • @DiamGR
      @DiamGR 5 років тому +156

      He's also working on a massive dong video

    • @bassemb
      @bassemb 5 років тому +80

      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
      @deadross3894 5 років тому +12

      @@bassemb r/woooosh

  • @S85B50Engine
    @S85B50Engine 2 роки тому +7

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

  • @Kangooroo08
    @Kangooroo08 3 роки тому +7

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

  • @imaghostbtw
    @imaghostbtw 5 років тому +352

    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
      @LightningSe7en 5 років тому +3

      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
      @ganaraminukshuk0 5 років тому +5

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

    • @clarahowson2911
      @clarahowson2911 5 років тому +1

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

    • @berdyie
      @berdyie 5 років тому

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

    • @4na-k8
      @4na-k8 5 років тому +1

      S P U N G B O B

  • @abhinavsahal5572
    @abhinavsahal5572 5 років тому +493

    He's embracing the meme celebrity he is

    • @Gooberpatrol66
      @Gooberpatrol66 5 років тому +8

      DONG but out of context

    • @Skystrike70
      @Skystrike70 5 років тому +26

      >says show is family friendly
      >literally names it dong

    • @kliop00023
      @kliop00023 5 років тому +1

      not that laughable in this one...

    • @CoffeeD_1
      @CoffeeD_1 5 років тому +1

      Skystrike70 mmmmmh you touch my tralala mhhhhhhhhh my dingdingdong

  • @izaactheberean6860
    @izaactheberean6860 Рік тому +6

    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.

  • @joshthefantasydude9254
    @joshthefantasydude9254 Рік тому +8

    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!

  • @icejamevents
    @icejamevents 5 років тому +77

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

    • @ginbelg1
      @ginbelg1 5 років тому +7

      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
      @theinfinitylab2727 5 років тому +1

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

    • @chironroe8288
      @chironroe8288 5 років тому +5

      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
      @ahmedshaikh7662 5 років тому

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

  • @jeffreyluciana8711
    @jeffreyluciana8711 4 роки тому +1670

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

  • @legendarypillow1450
    @legendarypillow1450 Рік тому +10

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

  • @BeJustFearNot
    @BeJustFearNot 3 роки тому +2

    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.

  • @likebot.
    @likebot. 5 років тому +795

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

    • @citrusfruitunion7382
      @citrusfruitunion7382 5 років тому +4

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

    • @panta_rhei.26
      @panta_rhei.26 5 років тому +52

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

    • @ConceptHut
      @ConceptHut 5 років тому +3

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

    • @axiom6919
      @axiom6919 5 років тому +1

      10-4

    • @FreeMindedMason
      @FreeMindedMason 5 років тому

      Not to be confused with Axion, the snowboard gear company

  • @RobinBrewsBeer
    @RobinBrewsBeer 5 років тому +897

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

    • @arnovj1
      @arnovj1 5 років тому +5

      That's respect.

    • @prylon1908
      @prylon1908 5 років тому +2

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

    • @NeilCrabbe
      @NeilCrabbe 5 років тому +1

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

  • @oneveryfishyboi331
    @oneveryfishyboi331 2 дні тому +1

    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.

  • @MurshidIslam
    @MurshidIslam 4 роки тому +4

    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
      @EkajArmstro 3 роки тому

      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: ua-cam.com/video/MyzGVbCHh5M/v-deo.html

  • @velx2495
    @velx2495 5 років тому +740

    I love Michael's bald head.

    • @Zeppec
      @Zeppec 5 років тому +30

      Me too i wanna lick his head

    • @fundemort
      @fundemort 5 років тому +34

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

    • @Reptarevangelion
      @Reptarevangelion 5 років тому +2

      mood

    • @civilizedzombie8760
      @civilizedzombie8760 5 років тому +4

      i like eggs too

    • @KrXza
      @KrXza 5 років тому +2

      Civilized Zombie LMAO

  • @turcandumitru
    @turcandumitru 5 років тому +240

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

    • @usagi2934
      @usagi2934 4 роки тому +3

      And ring

    • @MrCimik
      @MrCimik 4 роки тому

      I believe it was a gift from his wife.

  • @alexandermaverick9474
    @alexandermaverick9474 2 роки тому +1

    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!

  • @gamesbecauseyes9067
    @gamesbecauseyes9067 3 роки тому +2

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

  • @hrrawr
    @hrrawr 5 років тому +374

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

    • @heisselnicholaspramoedya8121
      @heisselnicholaspramoedya8121 4 роки тому +6

      Math become unenjoyable when they introduces letters

    • @gubre2195
      @gubre2195 4 роки тому +1

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

    • @Ottmar555
      @Ottmar555 4 роки тому +17

      @@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
      @arsnohachikoi1767 4 роки тому

      BRO! Same here!!!

  • @handsomelspunge4829
    @handsomelspunge4829 5 років тому +203

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

    • @thatcrystalpie
      @thatcrystalpie 5 років тому +1

      hahaaaaah

    • @sturmifan
      @sturmifan 5 років тому +5

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

    • @TAiles13
      @TAiles13 5 років тому +1

      Isnt it a slow watch?

  • @MontyCantsin
    @MontyCantsin 3 роки тому +17

    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
      @milad.nikzad 2 роки тому +1

      That’s what I was thinking!

    • @ActionJackson669
      @ActionJackson669 2 роки тому

      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

  • @AldrenBriones
    @AldrenBriones Рік тому +2

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

  • @ieuangriffith1742
    @ieuangriffith1742 4 роки тому +770

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

    • @boxofparadoxes1988
      @boxofparadoxes1988 3 роки тому +6

      Ieuan Griffith underrated comment

    • @UNOwen-yc3es
      @UNOwen-yc3es 3 роки тому +18

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

    • @UNOwen-yc3es
      @UNOwen-yc3es 3 роки тому +14

      @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
      @UNOwen-yc3es 3 роки тому +6

      @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
      @UNOwen-yc3es 3 роки тому +2

      @Ben Höflinger Back to you.

  • @whatif7229
    @whatif7229 5 років тому +427

    Best intro to any video on youtube

    • @kpk1171
      @kpk1171 5 років тому +1

      ayye 100th like

    • @Tweogan
      @Tweogan 5 років тому

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

    • @bigfly1391
      @bigfly1391 5 років тому +1

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

  • @quantum2773
    @quantum2773 3 роки тому +1

    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.

  • @RadioactiveHax
    @RadioactiveHax 2 роки тому +1

    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.

  • @WHatchitW
    @WHatchitW 5 років тому +362

    I think "compass" sounds a lot less dirtier than "cumbutt".

    • @Greenfire44
      @Greenfire44 5 років тому +53

      **gasp**
      you said the "a" word..... get outta this christian channel >:(

    • @nabhchandra_
      @nabhchandra_ 5 років тому +3

      I see what you did there 😏

    • @EdwinCristobal
      @EdwinCristobal 5 років тому +6

      UA-cam Monetization *DISAGREES*

    • @WHatchitW
      @WHatchitW 5 років тому

      lol

    • @JustA.Person
      @JustA.Person 5 років тому +2

      Omg i didn't realize why he was saying compbutt throughout the entire video cause I didn't see anything unchristian about compass

  • @diegoenciso7693
    @diegoenciso7693 5 років тому +321

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

    • @oreggon9355
      @oreggon9355 4 роки тому +27

      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
      @mastershooter64 4 роки тому +1

      Lmao whats college calculus

    • @atharvadeshpande2409
      @atharvadeshpande2409 4 роки тому +25

      3blue1brown

    • @RatKeeperDude
      @RatKeeperDude 4 роки тому +3

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

    • @jojoversus1100
      @jojoversus1100 2 роки тому

      @@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.

  • @AJD...
    @AJD... 4 роки тому +7

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

  • @kikecueva5
    @kikecueva5 3 роки тому

    it´s always great to watch your videos, plus you learn.

  • @loamguitar
    @loamguitar 5 років тому +702

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

    • @X.L.B1
      @X.L.B1 5 років тому +18

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

    • @elliotlea5457
      @elliotlea5457 5 років тому +1

      We all did, I think.

    • @BogdanAndreiRO
      @BogdanAndreiRO 5 років тому

      @@elliotlea5457 nope, get your facts right.

    • @Nen_niN
      @Nen_niN 5 років тому +2

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

    • @BogdanAndreiRO
      @BogdanAndreiRO 5 років тому +1

      @@Nen_niN lolol

  • @suzizann5877
    @suzizann5877 4 роки тому +129

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

  • @TheZmoliver
    @TheZmoliver 4 місяці тому

    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.

  • @legendarytwister3656
    @legendarytwister3656 3 роки тому

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

  • @kai4486
    @kai4486 5 років тому +267

    This Michael guy is really cool, he should make a UA-cam channel!

    • @notwildcard377
      @notwildcard377 5 років тому +12

      Please include me in screenshot if you woooosh someone

    • @ramosdetrigo
      @ramosdetrigo 5 років тому +1

      @@notwildcard377 ok

    • @vicirdek2275
      @vicirdek2275 5 років тому +2

      r/whoosh

    • @vicirdek2275
      @vicirdek2275 5 років тому +2

      Okay im putting this on reddit now and im including you

    • @kai4486
      @kai4486 5 років тому +1

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

  • @zacharyfilion1437
    @zacharyfilion1437 5 років тому +191

    My man out here flexing that gold watch

  • @Swagner17
    @Swagner17 4 роки тому +5

    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.

  • @Lucky32Luke
    @Lucky32Luke 3 роки тому

    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?

  • @parast1721
    @parast1721 5 років тому +1707

    Anyone else miss, *"Hey, VSauce. Michael Here"* ?

  • @funnyvideos-funnyoutloud2618
    @funnyvideos-funnyoutloud2618 5 років тому +121

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

    • @sharonjuniorchess
      @sharonjuniorchess 3 роки тому

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

  • @surrealdynamics4077
    @surrealdynamics4077 3 роки тому

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

  • @zestyammar1973
    @zestyammar1973 3 роки тому +5

    4:30 foes

  • @patrickhodson8715
    @patrickhodson8715 5 років тому +606

    Dis boi deadass made out with a skull

    • @8-bitapple85
      @8-bitapple85 5 років тому +56

      I guess he's in to older people

    • @patrickhodson8715
      @patrickhodson8715 5 років тому +9

      marijnnk right! Sorry.

    • @rageagainstmyhairline5574
      @rageagainstmyhairline5574 5 років тому +7

      The skull was on top. It made out with him.

    • @E-Eyes
      @E-Eyes 5 років тому +1

      I hope this is satire. If not then your grammar is that of a 13 year old to cool for school kid.

    • @1234macro
      @1234macro 5 років тому +1

      this a fam show. deadbutt

  • @emotisean
    @emotisean 5 років тому +2588

    hello freshman geometry

  • @lukeerikblue958
    @lukeerikblue958 2 роки тому

    This will forever be my favorite Vsauce video. The only other one that can hold a candle is about counting.

  • @ginofalche9857
    @ginofalche9857 4 роки тому

    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.

  • @cadepatton6418
    @cadepatton6418 5 років тому +95

    I think Michael just forgot the vsauce one password.

  • @repsforjesus3563
    @repsforjesus3563 5 років тому +433

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

    • @rorygoode3266
      @rorygoode3266 4 роки тому +25

      But he also said:"make this longer"
      😪

    • @rr.studios
      @rr.studios 4 роки тому +16

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

    • @lvbboi9
      @lvbboi9 3 роки тому +1

      Im getting MoNika vibes

  • @captainretro373
    @captainretro373 3 роки тому +4

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

  • @davidurraca2613
    @davidurraca2613 3 роки тому

    We all need a teacher like this one at least ONE in our lifetime. Thank you Michael.

  • @br45entei
    @br45entei 5 років тому +169

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

    • @therainbowwillow4453
      @therainbowwillow4453 5 років тому +9

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

    • @alexw.outdoors4269
      @alexw.outdoors4269 4 роки тому +1

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

    • @john_duncan
      @john_duncan 4 роки тому

      haha i saw that too.

    • @literalcode
      @literalcode 4 роки тому +1

      He forgot to intentionally make it imperfect

    • @JA-nv4zb
      @JA-nv4zb 4 роки тому

      @@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
    @nemer_k 5 років тому +131

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

    • @connorscosette5440
      @connorscosette5440 5 років тому +7

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

    • @imyourmaster77
      @imyourmaster77 5 років тому +5

      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.

  • @itscky2007
    @itscky2007 2 роки тому

    The explaination really makes it really to understand

  • @volgnvybz7747
    @volgnvybz7747 3 роки тому +7

    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.

  • @nikolajnrregaardmunk9436
    @nikolajnrregaardmunk9436 5 років тому +126

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

  • @dr.avalanche4994
    @dr.avalanche4994 5 років тому +134

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

    • @daniellaffan6992
      @daniellaffan6992 5 років тому +12

      14:18

    • @ssathessa
      @ssathessa 5 років тому +13

      Actually he mentioned this in a podcast with Kevin

    • @joyo4597
      @joyo4597 5 років тому +5

      He is a comedian, its funny

    • @MrHauerManuel
      @MrHauerManuel 5 років тому +5

      The pause after the intro was amazing 00:40

  • @gabitheancient7664
    @gabitheancient7664 2 роки тому +1

    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

  • @madkirk7431
    @madkirk7431 3 роки тому +7

    I love how he censored compass 😂

  • @astroneural
    @astroneural 4 роки тому +147

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

    • @jaok6568
      @jaok6568 3 роки тому +11

      Yeah, the greeks are very cool.

    • @Orrphoiz
      @Orrphoiz 3 роки тому +6

      he's also dead.

    • @wizardo9226
      @wizardo9226 3 роки тому +9

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

    • @astroneural
      @astroneural 3 роки тому +15

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

    • @wizardo9226
      @wizardo9226 3 роки тому +28

      @@astroneural oh I see different timezones and what not