Arbelos Area (visual proof)

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  • čas přidán 7. 08. 2024

Komentáře • 72

  • @phiwise_9489
    @phiwise_9489 Před rokem +65

    This proof is mad elegant. Thanks for animating it!

  • @SridharGajendran
    @SridharGajendran Před rokem +14

    Wow.. I knew this shape but never knew this amazing theorem about it.. Kudos to you..

  • @debblez
    @debblez Před rokem +10

    Some things I noticed in this diagram that maybe also have an interesting proof.
    The blue circle and small semicircles appear to intersect at right angles.
    The line connecting these intersections appears to be tangent to both semicircles, and seems to be a diameter of the blue circle.
    The left corner of the large semicircle, the intersection between the blue circle and the left small semicircle, and topmost point of the blue circle all seem to be colinear, as do the corresponding right points.

  • @beethovennine
    @beethovennine Před rokem +10

    Wow! These videos are AWESOME!! Keep them coming, congratulations!!

  • @DrPillePalle
    @DrPillePalle Před rokem +4

    Your videos are amazing! Please consider adding a 5 second pause when you make an important claim, like at 1:54. That way, one could get a breather and more time to enjoy the beauty of the proof and the visuals you provide. Compare e.g. with Hollywood movies like Dune. Whenever there is a stunning visual, they give you about 5 seconds to absorb the scene before the plot continues.

  • @stevenmcculloch5727
    @stevenmcculloch5727 Před rokem +1

    Props to Roger for the discovery, and you for the lovely animation, what a beautiful visual proof.

  • @LittlePaimon
    @LittlePaimon Před rokem

    谢谢!

  • @toolebukk
    @toolebukk Před rokem +2

    Amazing! ❤

  • @3notdeadyet651
    @3notdeadyet651 Před rokem +1

    Wow. Nice l.
    Visuals helped the explanation
    Very understandable

  • @ryszardkiszka2839
    @ryszardkiszka2839 Před rokem +3

    nice

  • @mohammedal-haddad2652
    @mohammedal-haddad2652 Před rokem +1

    Amazing!

  • @mathentic
    @mathentic Před rokem +1

    Nice proof!

  • @ShootNowAskLater01
    @ShootNowAskLater01 Před rokem +1

    This is insane

  • @srremus9781
    @srremus9781 Před rokem

    Great Proof, it would be great if you could provide with a link, a document or at the also with formulars.
    Thanks for all the video work

    • @MathVisualProofs
      @MathVisualProofs  Před rokem

      I’m not sure what you want. You can probably find relevant info on Wikipedia ?

  • @jakobthomsen1595
    @jakobthomsen1595 Před rokem +1

    Neat!

  • @Om-officepwgl
    @Om-officepwgl Před rokem +1

    Amazing

  • @serhancinar5218
    @serhancinar5218 Před rokem +1

    Brilliant

  • @alinayfeh4961
    @alinayfeh4961 Před rokem +1

    Thanks 😊 my greetings for you

  • @mukulgupta5506
    @mukulgupta5506 Před rokem +1

    Can you plz suggest some e-books from which I can read stuff like this.

  • @terdragontra8900
    @terdragontra8900 Před rokem +1

    this proof is quite cute

  • @curtiswfranks
    @curtiswfranks Před rokem +1

    Eff, that is cool.

  • @agrajyadav2951
    @agrajyadav2951 Před rokem +1

    How in the world!

  • @vennstudios9885
    @vennstudios9885 Před rokem +1

    man
    I have a feeling this gonna show up on a college entrance exam
    like for real
    my classmates literally need to have tutors... I mean other subjects are gonna be hell for me too but Math and chemistry is probably fine. it's just rearrangement and identities and logic

    • @MathVisualProofs
      @MathVisualProofs  Před rokem

      Good luck! You’ll do fine :)

    • @vennstudios9885
      @vennstudios9885 Před rokem

      @@MathVisualProofs yeah
      yeah back then on Thursday (+8gmt) we have a statistics test
      ALL OF THE SMART STUDENTS INCLUDING ME ARE HAVING A HARD TIME
      oh my lawd my classmates feel like when the smart kids don't struggle and you just sit there and
      welp *fuck*

    • @vennstudios9885
      @vennstudios9885 Před rokem

      also are you planning to make some bits of Statistics

    • @MathVisualProofs
      @MathVisualProofs  Před rokem

      @@vennstudios9885 I don't know many visual proofs related to statistics... so it wasn't in the plan yet.

  • @patum3588
    @patum3588 Před rokem

    could you show hiberbola functions? like sinh, cosh etc.?

    • @MathVisualProofs
      @MathVisualProofs  Před rokem +2

      I don't know many related visual proofs, but I'll do my best to look into it.

  • @azizautop995
    @azizautop995 Před rokem +2

    Does this property applies in 3d, with two demi spheres inside a big demi spheres?

    • @MathVisualProofs
      @MathVisualProofs  Před rokem +1

      Good question. I don’t know 😀

    • @azizautop995
      @azizautop995 Před rokem +2

      @@MathVisualProofs maybe that could be another visual proof or disproof video 🤔, by all means ur animations are great, and understanding math visually is the best way for it to stick in the brain. Nice content.

    • @rafiihsanalfathin9479
      @rafiihsanalfathin9479 Před rokem +2

      Because there is no pythagorean theorem for 3 dimension i would say no

    • @azizautop995
      @azizautop995 Před rokem

      @@rafiihsanalfathin9479 it does exist, look it up in youtube, I think theres even theorems being proven in the nth dimension

  • @DoxxTheMathGeek
    @DoxxTheMathGeek Před rokem +2

    I love maths!

  • @theskinegg9168
    @theskinegg9168 Před rokem +1

    holy shit

  • @awaken2478
    @awaken2478 Před rokem

    there
    uh
    seems of be a bit of error on 2:03

    • @MathVisualProofs
      @MathVisualProofs  Před rokem

      ? Can you elaborate?

    • @awaken2478
      @awaken2478 Před rokem

      ​@@MathVisualProofs Blue and Pink cancel each other, right?
      That... Didnt happen to the small piece of the Blue Circle thats cut by the Longest side of the Right Triangle

    • @MathVisualProofs
      @MathVisualProofs  Před rokem +1

      @@awaken2478 there are two overlapping blues there. So the pink only cancels one of the blue areas

  • @Nulono
    @Nulono Před rokem

    I don't get it.

  • @mastervibes2296
    @mastervibes2296 Před rokem +2

    Yay, we can create lot's of random shapes with no purpose and measure their area and find patterns and other phenomenon, but what is the actual point?

    • @heavysaur149
      @heavysaur149 Před rokem +8

      Cuz it's cool ? You're still doing Maths expecting to revolutionize the entire world ? Let that for the pros, amateurs can have fun while still doing meaningless things...
      Maybe we can find an aplication of this... The pythagorean theorem at the start was not really useful, because we didn't find use of it, when after that we found it's usefulness. It's when we realize it's true worth that we can judge it.

    • @heavysaur149
      @heavysaur149 Před rokem +6

      And it's by having fun with maths that we can start to like it. This channel is not for complicated Maths, it's only for entertainment purposes.

    • @donegal79
      @donegal79 Před rokem +5

      get some help mate

    • @lgooch
      @lgooch Před rokem +2

      I know, it’s very sad. Euclidean geometry is so fascinating, yet it really has no purpose in physics or math (the more advanced results, such as the Euler line, etc). I feel like there must be some significance of the deep results we get from it, somewhere hidden in reality.

  • @IxXMadPenguinXxI
    @IxXMadPenguinXxI Před rokem +1

    wow.
    this is why I subscribed.

  • @Nabla_Squared
    @Nabla_Squared Před rokem +1

    Amazing!