Pythagorean theorem water demo

Wheel with liquid demonstrates the Pythagorean theorem at Brentwood.

[@Peter-mz4rj]

This is the coolest demonstration of Pythagoreon Theorem I have ever seen!

[@thepolandatspace]

The fact it was posted 15 year ago too😭

[@ruidadgmailcanada8508]

Pssst… Wanna see something cool like this? Another golden era KZbin video (with water) visually demonstrating the relationship between P=VA power volts and amps. Search for this, he uses water-bags and weights in his sink, it’s on the video thumbnail. 👍

[@Tartarus4567]

And yet, it ages well.

[@Indoraptoad]

Yeah I mean, it’s not like water is a new technology

[@Tartarus4567]

@@Indoraptoad but hey, at least it could give some proof that the pythagorean theorem is true (for people that are dum enough to think it's not true).

[@animimm]

This is called "waterproof" :)

[@TuCam-fo7lq]

Cooling down...

[@jaegercrown964]

Genius 😅

[@CosmiaNebula]

Next up... FIREPROOF

[@clarencejohncabahug5466]

Good one, but it's not a proof though.

[@hemachandran0908]

😂😂😂

[@acanofbeans6798]

A demonstration of the pythagorean theorem? *Brown* Perry the demonstration of the pythagorean theorem!

[@50Steaks68]

Perry the Perry the platypus! The platypus the Perry the Perry the platypus!

[@acanofbeans6798]

@@50Steaks68 are u having a stroke?

[@isaiaholaru5013]

​@@acanofbeans6798 It's a reference to a funny animation where Perry keeps putting on both Fedoras and platypus hats, as well as 2 Norm hats. From this, Doof keeps chaining more words together. I reccomend checking it out

[@arkasha6649]

@@isaiaholaru5013 sounds like a funny meme. What's the video and maybe it's channel called, so i can find it?

[@CalebTibster]

@@arkasha6649 “Perry the Perry the Platypus” by CoolGuy

[@dansacco1964]

What an elegantly simple way to visualize this! I love it!

[@bigsiege7684]

There are easier ways.

[@CrabGamingTF2]

was only supposed to watch this twice in math class. had it going all day

[@sourshakes]

nah math ain't even over yet

[@diegogp5020]

Incredible, brought tears to my eyes!

[@quakeev334]

I literally cried a river that became the Nile lmaooooooooooooooooooooooooooooooooo XDXD lol rofl xD

[@ndukokatire]

What???!

[@varrjames186]

I cried like a baby.

[@kostasbr51]

@@quakeev334 I'll cry a river over you.

[@tea8781]

@@kostasbr51 is that a threat?

[@victorteeter1853]

Materials used were 1/2 inch gypsum board for the circle. 2x4 inch pine segments to support the back, as well as make the stand for it. Used a short half inch bolt, washers and nut to bolt the gypsum to the stand so it would turn easily. Used the “pencil on a string” trick with a tack in the middle of the gypsum board to create the circle. Used a gypsum knife to cut the circle, though any saw would probably do. Painted the gypsum white. Purchased plexiglass sheets from Home Depot, and had the squares (fronts and backs) as well as the square edges all cut with a table saw. Needed 18 pieces of plexiglass cut. It was key that they all that all of the edges be the same width, so we stacked up several pieces of plexiglass and cut them into strips all at once. It worked great. We used an arbitrary 1 inch width for all square edges. Drilled small holes in the gypsum then screwed the first three squares to the gypsum board, Screwing them in with screws, then dabbing them with silicone caulk so it wouldn’t leak. Then glued all pieces together with superglue, cutting and drilling as needed as a we went along. We added blue food coloring to the water to make it easier to see. All material was purchased from Home Depot. Lowes would have the same thing.

[@victorteeter1853]

Correction: where it states “Drilled small holes in the gypsum then screwed the first three squares to the gypsum board” should say “Drilled small holes in the PLEXIGLASS then screwed the first three squares to the gypsum board.”

[@Aussie50InspiredDavidZ]

Genius.

[@flannyalamparambil4352]

[@Gigasimo456]

​@@simranjeetkaur1173 drill two holes and then close them with screws?

[@nmotschidontwannagivemyrea8932]

@@victorteeter1853 KZbin lets you edit comments.

[@loganschmidt9622]

6/10 the dialogue wasn't very rich and I feel like the main character didn't have enough lines. And the special effects were mediocre at best, and can somebody explain the plot to me its very confusing.

[@Uxcis]

instrucions unclear, got dick stuck in the plot

[@longle863]

Pythagorean theorem a^2+b^2=c^2. Euclid proved this in his book Elements. We can think of a^2 as the area of a square of side a. The areas of two smaller squares in the video represent a^2+b^2, and the larger square on the top is c^2.

[@Snakebite_TBN]

7.8/10 too much water

[@guriguri4780]

Att ya

[@guriguri4780]

Viet Long Le Nguyen

[@nordaky]

I love the sound the water makes.

[@sourserenity2796]

8 years ago omg

[@ipenutbrudda8823]

@@sourserenity2796 this comment is older than you wow

[@DeletedDevilDeletedAngel]

@@ipenutbrudda8823 by channel age or age age 🤔

[@aulysses5293]

Awesome

[@Mohanchous]

Also, if you dropped a perpendicular from the right angle vertex to the far side of the large square, it would cut the large square into two compartments equal in area to the two smaller squares. You could then use two colors of water to show this. This would be closer to a demonstration of Euclid's proof from the Elements.

[@DeathmetalChad]

woah this deserves to be known more

[@luizpaulogpimentel]

😮😮😮😮😮

[@knightfox9442]

cant wait till this is in cinemas

[@Milan_Smid]

Back in 2017, when our math teacher introduced the Pythagorean theorem, the first thing he did was showing us this video. That was one of the best things he could do because this made (and still does) so much sense to me to understand this theorem.

[@devsterroc8487]

Instructions unclear, failed Geometry class

[@heidiplein8609]

This is a really helpful visual example! Thank you so much!

[@TheiLame]

I wish everything in math could be shown in a simple way like this!!!!!!!! :((((((

[@TheiLame]

but no one does

[@NowhereManForever]

***** The thing is, this is not a proof. It is merely a demonstration. Sure, I can do demonstrations of mathematical concepts all day long but it doesn't hold up in serious study.

[@TheiLame]

I think demonstrations should be shown as much as possible because they make everything easier to understand.

[@peterfireflylund]

***** This demonstration showed the meaning of a² + b² = c² -- or rather a demonstration for a specific (a,b,c)-triplet. It did not demonstrate that it holds for any other triangle and certainly not that it holds in general. And does it really make anything easier? We already knew it was about two areas that should add up to be equal to another area -- so why introduce volumes? Why, in fact, introduce an extra step just to prove that this example about volumes of water is equivalent to an example about areas, which is what we started out being interested in? Furthermore, we have good empirical evidence from the didactics of physics and chemistry to show us that demonstrations usually /hinder/ learning, at least if they are performed by the teacher. An alternative to this demonstration is to have the student measure areas (by counting squares on graph paper, for example) which is not as "cool" but something we should expect to work better.

[@TheiLame]

Peter Lund I thought for a long time how to answer since clearly my mathematical skills and some english isn't very good. You said: '' It did not demonstrate that it holds for any other triangle and certainly not that it holds in general.'' /So the same demonstration works for other angles that arent right angles, too? Im sorry for my english, maybe i didnt understand you right, please let me know./ But i guess you are right about the fact that extra volumes can actually make it more confusing - i did not even think about it. I guess i really was amazed by the fact that it just looked ''cool''. Although let me say this: It should not be a big problem if it was explained why and how volumes also work on this. (/although you just said that this demonstration works for every triangle? Please let me know if i misunderstood you/) It may add confusion or extra knowledge, depends how well it is explained. And also the ''coolness' adds ''interest'' which could help a lot in the progress of learning. But of course, getting down to the core of it by - lets use your example - counting squares on graph paper, would definitely be the real experience understanding it.

[@contaminationpro8464]

A very creative way. Appreciate u

[@MrAnthonyVance]

Brilliant. No words needed. Well done!

[@akshaybharde4282]

Absolutely amazing. Thanks for making me really understand the theorem today! Real genius! 🙏

[@isobelgray2527]

Captivating truely. The special effects really brought this piece together. There would need to be more dialogue however from the budget and the materials in which the director was given this truely was a film for the ages. Overall the filming and decision to have the camera slightly off centred showed true emotion of all the characters. While the plot was confusing to start with the subtle hints throughout made it clear to the viewer the main characters true intentions and reasons for their actions. This film got very inappropriate towards the end and I would not recommend watching it with younger audiences however if you wish to see a very well thought out and beautiful piece of art I highly recommend this video. We truely did learn the true meaning of friendship and the ups and downs of high school football. Thank you so much for producing this film that admittedly did make me shed a few tears.

[@rosiesykes8024]

agreed omg

[@sidzday]

haha

[@crydropsonroses]

THIS ACTUALLY MAKES PERFECT SENSE! COOL!

[@jeffreyscottharris]

Absolutely awesome!

[@kaleeflowers4282]

Anyone else from math class😭

[@yavedg7026]

Yes my teacher put it for us and I thought it was satisfying hearing the water 😭

[@teacup6530]

...gunna send it to my class mates. it should help 'em

[@kaylee1641]

yeah lmao 😭😭

[@abbiewatson7863]

Kᴀʟᴇᴇ Fʟᴏᴡᴇʀs sup my guy

[@NaomiOK3836]

No

[@rngesus66]

A 43 second video finally put some logic into a thing my teachers couldn't.

[@st.charlesstreet9876]

That was really ingenious. Good basic ideas that help the student into geometry ❤

[@grumpytuber]

that was actually quite beautiful.

[@javalin597]

This is probably the best way I've ever seen to explain the Pythagorean theorem.

[@AdamThygerson-lm1gt]

I believe this experiment is flawed because the depth of each compartment of water is diffrent and there seems to be no correlation between side length and depth of the water reservoir so this experiment is not showing the Pythagorean theorem it just show's two areas equal one larger area. Which of course is subject to the changing of the volumes of each compartment. This may be incorrect and please correct me if I am wrong, without any measurements of the compartment volumes I have to say it is wrong.

[@mathsclinic]

This is awesome. You are a genius. Thanks you

[@Pseudify]

Cool demo. And love the channel name.

[@gabi175]

this is cool but didn't answer the question my teacher attached to it :')

[@debbie_bae]

may I ask what was the question?

[@bailley3417]

Yeah what is the question?

[@GSMusicMusic]

One of the best ways of demonstrating this idea that I have seen, well done.

[@victorho2579]

Amazing, never would of thought of it!

[@MrSeezero]

Awesomely explained.

[@manoelsobral3393]

This is Awesome!

[@raphaeldagamer]

I cannot explain why, but this makes me happy. I think it's just because I had never thought about Puthagorean Theorem this way before, but this makes total sense.

[@Amigo1048]

Ok this is honestly pretty cool

[@user-vp1sc7tt4m]

Brilliant! Every math teacher should use this video when presenting the Pythagorean theorem to students.

[@Mrs_Heyman]

this pleases my grade 11 maths class very much, many thanks :)

[@Mrs_Heyman]

uwow, my grade 9 class also loves it. Kind regards, Vicksaa, Bowen737, LiamHems, JamesBon, Empty, (drakeand)Josh, Zach, Farras, Luseal, Lillas, JB-Brown, Lindsoy, Zakattack, Sha-when?, Charlean, MarkDaisey, Krees, Chorly, Cypress Pine, Roarrr, Polo, Raysawn, Nickname, Moreham. Nam, Dav. Tahnks

[@heatyt]

I came here because of math class, now it's time for me to go back to work

[@firex97]

Thank you very much 👍👍 I am going to use this video in the presentation in the class to prove the pythagors theory

[@bradycall1889]

This is so cool!

[@LouieMcConnell26]

is there one of these for taylor series

[@shelbygracechavez6904]

Shoutout to mr.crouse who sent this to all the grade eights

[@sourad.e5661]

My eighth grade teacher sent me this 😳

[@TheRedPanda_B]

Same

[@PiefacePete46]

Cannot be misunderstood... multilingual... not one word wasted! BRILLIANT!! 😊

[@anantsingh8152]

A lot of thanks! It helped me a lot :)

[@suave0777]

Very nice. Simple, yet elegant

[@JudgeBee]

damn and now I have to go to the bathroom

[@nelli3523]

JudgeBee lol

[@jaiskreno]

I know the reference hahahahah BBC

[@Bjowolf2]

😂

[@AdamThygerson-lm1gt]

I believe this experiment is flawed because the depth of each compartment of water is diffrent and there seems to be no correlation between side length and depth of the water reservoir so this experiment is not showing the Pythagorean theorem it just show's two areas equal one larger area. Which of course is subject to the changing of the volumes of each compartment. This may be incorrect and please correct me if I am wrong, without any measurements of the compartment volumes I have to say it is wrong.

[@Kentasokapellos]

It's also assumed that the depth and width of the containers are the same so the volumes are proportional by a factor of c^2 / (a^2+b^2) = 1 which actually proves pythagoras's theorem (assuming c is the hypotenuse etc. )

[@gilgamesh7055]

This very well answered the question i gave my teacher of "Why do we multiply each side with times 2 instead of just multiplying each side as it is?"

[@HamsterOnStrike]

You're not multiplying any side by 2, you're multiplying each side against itself to form a square, hence, "squared"

[@dj_frayfray6093]

Very satisfying explanation!

[@Thorathome]

Very well done!

[@MicahScottPnD]

That's a nice nice visualization!

[@shannonwilhoite9747]

I never understood this video until I looked up the meaning. The Pythagorean Theorem says that you can take the square of the two leg lengths and they will be equal to the square of the length of the hypotenuse. Thats the same thing as finding area of a square (squaring one side length). For this reason, the space that two of those smaller squares takes up should be the same as the space that the larger square takes up. a^2 + b^2 = c^2 OR area of square 1 + area of square 2 = area of square 3.

[@jaegercrown964]

Thanks for the explanation

[@NeleDeGersem]

I was about to say why explananation?

[@NeleDeGersem]

Sorry i meant explanation

[@mega1873]

Thanks for doing my math work for me bud

[@shannonwilhoite9747]

@Joan Ferreira Yes, only in a right triangle! Thanks

[@tusharagarwal5306]

Pythagoras smiled from heaven.

[@mrbrown6421]

Ya know, that young lady is showing this video to her teenage kids and they LOVE IT ALSO! Thank you ma'am.

[@MeixingYip]

Awesome work! What is the clear/transparent material made of? I would love to have a miniature one of these in my office.

[@JoTheVeteran]

Thank you! The Pythagorean theorem is actually one of the things I still remember from high school, however I wish I had watched this demonstration back then. How easily would it be to understand.

[@alexandreaamaral4155]

its not a demonstration though

[@yakkoroblox7456]

you learned it in high school? 😂😂😂

[@JoTheVeteran]

@@yakkoroblox7456 I don't remember tbh

[@JoTheVeteran]

@@alexandreaamaral4155 says "demo" on the title

[@amelinedryland5756]

very emotional, im touched.

[@DANGJOS]

Only works if the squares have exactly the same thickness. Really cool experiment!

[@fiorellamartinez8263]

Hello. I get to do exactly the same, I mean the theorem with water and stuff so Just wanted to ask a question and how is this possible? What materials are needed cals? I appreciated very much if I could work with this THANKS

[@leo1508100]

Amazing proof of Pythagorean theorem. Good teaching resource.

[@guitarraccoon1541]

This isn't a proof though, this only proves one special case, in which A B and C are the dimensions of those containers.

[@audreywong7494]

It is not a proof, it is merely a demonstration. It shows that it IS, but not WHY it is.

[@123mathtutorabc4]

As stated above, it's not a proof but it's empirical evidence of the Pythagorean theorem for that specific right triangle. Even saying that isn't completely accurate if one wants to be pedantic since the demonstration is based on equivalent volumes and not areas.

[@123mathtutorabc4]

IMO, Bhaskara's proof of the Pythagorean theorem is the simplest to understand for those who do not have experience dealing with proofs.

[@brian.8712]

Instructions unclear - completed stereo madness

[@starchycreampuf5234]

instructions unclear - electrocuted me and made my muscles spasm to the way of bloodbath

[@scottabroughton]

Amazing!

[@djttv]

Wow! Great idea!

[@morgiggles]

I'm going to be a math teacher and this demonstrates the pythagorean theorem so well, where can I get one of these?!

[@imgonnatellmom3245]

nobody helped them

[@sukruthhk]

Nice one :-)

[@JustALittleGhostOfHallownest]

This is actually really clever.

[@mummydust_]

I will include this in my presentation on the Pythagorean theorem

[@deeznuts1989]

How did you make this?

[@aerosol97]

glass and water

[@christopherautolino2485]

i had to watch two times to understand the proof. said being that I'm studying calculus 2 at the moment.

[@TuCam-fo7lq]

It is weird isn't it. I have the same feeling and i have spent a third of my life studying maths.

[@tadejsivic534]

Beautiful!

[@Welp2010]

Waterproof analogy

[@takumori]

god damn my class is confusing

[@DMalenfant1]

Someone should point out that the boxes are perfectly square ex: 6X6X1, 8X8X1, 10X10X1 for this to work and be true.

[@krysdoran]

I mean... of course they are, that's what it means to "square" a number.

[@xekan_9153]

this is pretty hecking cool :0

[@JavierBonillaC]

This is fantastic!

[@mega1873]

I agree

[@ainsleyharriot3023]

Poor girl was probably kidnapped

[@lachuzzgayuzz4696]

nop

[@mamoon4321]

nop

[@Jordan-gz6xv]

nop

[@nova-he7nk]

Nop

[@JHpvw17]

For the confused people: 1. Get a piece of paper and a ruler to make straight lines and to exemplify the techniques I will list. 2. Squaring/by common name, Squared: Squaring is symbolized by a little 2 to the top right of your number. Squared means 2x2 or and other number multiplied by itself. For example: 2²/2 x 2. 3. The Pythagorean theorem trick: is too (on a calculator or in head) square both legs (two sides the make the right angle) and combine them. After doing so, square the hypotenuse (the one that slants to connect the 2 ends of the right angle) and find the square root. If the two answers (one from the combined legs are equivalent and the hypotenuse's square root) are equivalent the the triangle is a right triangle. You're welcome. 4. Confusion on the squares: you can break down a triangle easily...there are 3 sides (which are in measurements) and each one needs to be squared, for example: 2 inches TIMES 2 inches, take one of those 2 inches and put it into the height of the square, take the other and make it into the length of the square. BOOM! that's how they got squares. You're welcome. 5. The legs of a right triangle are the ones connect to the little square in the corner, this represents that there is a 90 degree angle from leg to leg. 6. The hypotenuse is the slanting line that connects the two ends of the right angle, this will also be the longest side of the right triangle. 7. The Water Demo represents the trick, the squares are just the measurements of the lines squared. So if those L squares (the squares representing the legs) are filled with water than we can see if they are equal (when combined) to the hypotenuse by transferring the water. Now you have Squaring, Right triangles, Mathematically Creating a Square, and Pythagorean theorem trick consolidated into 7 short paragraphs. You're welcome.

[@coreyfarrow7656]

I vote this for E3 contest. Big ups!

[@grotmail1]

Beautiful.

[@pattycake2543]

Watched this in class

[@Nxort]

*_a² + b² = c²_*

[@simonlai3159]

It will be fun when learning math like this

[@MS-sv1tr]

Clever idea. I approve 👍

[@swxxzzy]

I like eating poles made out of trees

[@cathyphy8674]

guys, can share us on how did you construct it? It would be a big help! Thanks.

[@MasterofFace]

Three cube glass boxes that satisfy a^2+b^2=c^2, affix to spinning wheeling.

[@BGasperov]

nice demonstration

[@matthewsanders1247]

Thanks this was very useful

[@vikrantkumarkafle2678]

Can you please show how to make this ?!!

[@madamkurdapia4227]

wait, i want to pee.

[@VAM_Physics_and_Engineering]

this is so cool!

[@Keallei]

This is creative!

[@willtakara249]

Who else is here from Mr. Tran's class

[@cypher9371]

I need exact measurements for this project

[@Jin-rp9bx]

where do i buy this it’s so cool

[@thenamestails7152]

I need this. Right. Now.

[@nelli3523]

who made this cuz this is cool look how much peeps have watched it

[@nelli3523]

lol

[@woomath6076]

Cool, but could there be water behind the yellow triangle?

[@user-ki4el3dj5t]

Very cool, well done. :)

[@BoogieBoogsForever]

That's great!! Bravo!!!!