High School seniors discover possible new proof for the Pythagorean theorem
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- Опубликовано: 28 мар 2023
- ABC News’ Linsey Davis spoke with New Orleans high school seniors Calcea Johnson and Ne’Kiya Jackson on finding a possible new proof to a 2,000-year-old math theorem and discuss their future goals.
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I saw the proof in a different video on youtube. It is a really nice proof that uses ideas from calculus (convergence of geometric series). It is quite impressive to see high school students come up with such a proof. J&J, Congratulations! Also congratulations to their math teacher and their school for leading this far and for teaching math.
What’s the video called, I would love to watchit
@@magdelenedidit I think it's this one:
ruclips.net/video/p6j2nZKwf20/видео.html
@@magdelenedidit ruclips.net/video/p6j2nZKwf20/видео.html
Has it been proven thst this proof has absolutely not been done before? I thought their proof only invovled geometry and algebra not calculus..
@@leif1075 Good question and I do not have the answer about the originality. However, all accounts so far indicate that the proof is original. As for the calculus part, the proof uses the convergence of geometric series, a topic typically taught in calculus, but can also be considered as a topic from algebra. It certainly does not require differential or integral calculus.
It's frustrating that no one is showing the waffle cone structure they used. It is actually pretty genius and I don't know how anyone can come up with that let alone 2 high school students
That "waffle" cone structure is very similar to a problem in James Stewarts' Calculus textbook. It's on page 721, problem #56, 5th ed.
@@diffgeo23 oh, good to know. I was not aware of structures like that
@@diffgeo23 So they just plagiarized?
That problem is actually in the chapter on infinite series. In that problem you find the sum length of those lines inside the big triangle. But the structure is different in that the lines inside the triangle are perpendicular to the sides.
I looked at their proof quickly on a video, I don't know if they saw it before, but perhaps the math community will agree they applied it in a different novel way. But I think they applied it in a novel way.
I also have to look at that proof in 2009 that was done completely by trig.
@@dragonflarefrog1424 like they said in the video, they didn’t create a thereom - they just created a new way to get to the answer using a combo of different concepts that haven’t been used before
So proud of them!! I know they will go far in mathematics and science. Can't wait to see they're work. Congratulations, young ladies❤
Probably yes, but this Proof of them is invalid sadly
@@DerProfessor626 when was it disproved pls share the link.👍
@@Chakamatics
Links are instantly banned by RUclips.
They are pretty smart but they made a mistake, which makes their proof invalid.
They used the function sinus of alpha and beta in their proof.
The function for sinus of alpha being the quotient of the opposite and hypothenuse can be simply defined that way. But if you wanna say that sinus of beta is also is the opposite devided by it's hypothenuse you have to prove that.
The prove for that is normally done with the unit circle and therefore proven with the Pythagoras Theorem.
So they needed the Pythagoras Theorem in order to prove it.
Sure it's impressive for highschool students, but they made a mistake making this proof invalid.
No big deal tho, everyone makes mistakes
@@Chakamatics
They are pretty smart but they made a mistake, which makes their proof invalid.
They used the function sinus of alpha and beta in their proof.
The function for sinus of alpha being the quotient of the opposite and hypothenuse can be simply defined that way. But if you wanna say that sinus of beta is also is the opposite devided by it's hypothenuse you have to prove that.
The prove for that is normally done with the unit circle and therefore proven with the Pythagoras Theorem.
Sure it's impressive for highschool students, but they made a mistake making this proof invalid.
@@DerProfessor626
Yes, it is impressive for high school students. And that's it.
Btw, just watched them featured on :60 and they've discovered 4 more proofs. You've got a long night ahead of you.
Amazed-great to see promising, talented young people! Awesome job, ladies.
They set standards pretty high for teenagers. I’m so proud of them ❤
This is a very proud moment! I hope these ladies help lead our world to a better place. Although I’m wayyyy older than them, I look up to them.
ruclips.net/video/juFdo2bijic/видео.htmlsi=9K6apv1fBiNwMkwD
Shoutout to these scholars! 👩🏾🎓👩🏾🎓 Great things in store for these young ladies
Kudos to these young mathematicians and their teacher! The students were supported, encouraged, and empowered as they challenged themselves, previously accepted ‘norms’, and centuries-old protocols of a globally recognized governing body. 🎉
It was proved already in 15-20 ways, this is just a new way
@@abhinavdiddigam2330
An incorrect way
@@abhinavdiddigam2330so if what you say is true, why are you the only person to know this. In fact they have developed 5 more ways to prove PT using trigonometric functions and are developing 5 more. What is it that makes you want to minimize their accomplishments?
Congratulations young gals! I can't wait to hear the final outcome! Proud!🤩
Thank you so much for being such a Positive force in the world of mathematics. I'm so very Proud of you both :)
Wishing the two of you the best in your studies and your future.
These two brilliant young women are kicking down massive doors for us it is so comforting & relieving to see a love for hypercubes taking center stage in the social world.
ruclips.net/video/juFdo2bijic/видео.htmlsi=9K6apv1fBiNwMkwD
This is so amazing! They must be extremely proud of themselves. I hope they lead long lives and thrive in their field of study 💜
Freaking awesome. Congratulations young ladies!! 🎉🎉👏
Happy for these young people.
Thank you. Loved it.
This is huge. Kudos to them.
Environmental engineering and bio chemistry... Go change the world girls!
Wow and kudos to these fine young mathematicians.
Such positive news! Good for them.
WOMEN IN STEM! WOMEN IN STEM! WOMEN IN STEM! ❤🧡💛💚💙💜
Yes, agree. How about people in general population for scientific and mathematical literacy? This is fake news, as phoney as a three dollar bill. Yet no one here can see it. They are too uneducated. 50 years ago, no one would have believed this at face value like so many do now. And need I remind you that Louisiana schools are rock bottom in the nation for math? This story is a confection.
amazing job ladies!!
Let’s highlight more black excellence! Especially from black women. There’s so many examples past and present! So proud and inspired by my sisters
Wonderful ❤️! Absolutely amazing 👏🏾
I know their parents are proud😊
Well, that's a start for an explanation. Now I gotta dig through the rest of RUclips to see if anyone else has gone into more depth and detail.
Very cool!!!! New eyes on old problems
congratulations!
Pretty dang cool.
Congratulations Ladies Well Done. You're both brilliant and beautiful!
Amazing❤ these girls are role models
Wow! They're a real life Shuri and Riri Williams! :)
Great story. We want more.
Wow, wow, wow! Our future is in great hands mathematically, in environmental issues and in biochemistry!!
Great job!
Congrats Ladies!
amazing!
Yay!! We love to see it!!! 👏🏽👩🏾🏫
Proud of you guys🎉
Excellent!
Congratulations ladies! Although I’m trying to minimize cliches, the future is looking bright!
awesome!!! what a proof
Amazing
Congratulations ladies on your findings (proof) ❤
Absolutely warms my heart, magnificent ladies, absolutely magnificent!!
Outstanding ❤
So cool ❤
BRAVO girls ❤️❤️🙏🏻🙏🏻
Girl power!
Smart girls.
So cool 💕💕
Very cool!!!
This is cool ❤ great job girls
Congrats girls!
They aren’t my kids and nor do I know them but I feel so happy for them like if they were my own kids!! Good job ladies!!
Idk about proofs until college. I don't recall being taught about them in h.s. wow!
i learned proofs in 8th grade.
@@alianetwork6190 different schools teach it differently or not at all based on graduation rates, funding, amount of teachers and their level of education/ diff teaching styles, how much time was left in the school year, academic interest, term, etc ig
@@tuxedoelle196they teach us in grade 6 in our 3rd world country and you're saying US don't! This has to be a lie.
@@hibudy As they explained they teach different things, a lot of the time people will be surprised when moving from one country to another realizing that they learnt a lot of different stuff to what is thought there, they didn't necessarily learn more or harder stuff just different things, it doesn't matter if you learnt it in 6th grade, you still learnt it to a 6th grade level, the guy that learnt it in college knows it to a college level, you aren't as smart as a college student you just did different topics at different times.
For example a lot of south east asian countries learn algebra and calculus earlier than many other places, but if you test their knowledge on the type of work that other countries teach to older students when they just start, the south east asian kids learning to a 6th grade level wouldn't stand a chance in that 10th grade class.
You can slap titles on work and say you learnt it, like any 8th grader easily knows basic algebra but to say they "know algebra" is a bit of a stretch.
Beautiful
You could have inserted 30sec actual video footage of triangle inside the circle🤷♂️ - and since it is maths, we could summise from one or two diagrams plus formulae
I do believe they did, and it's being verified independently by other people. It'll probably be used as both a proof for Pythagorean Theorem and Calculus. You'll probably have students learning it in their third terms of college level maths, as it's very elegant, and can be understood. You can learn a lot about both Trigonometry and Calculus by studying it. I know I did.
One thing it does, though---since Pythagorean Theorem is one of the most tested axioms we know, having 371 proofs---is very simply prove Calculus, as the logic they use is based in it, and I'm not able to do calculus, but I know someone who did, and it seemed to reduce to Pythagorean Theorem. Which, it ought to, since the logic of Calculus is a valid method. Basically, since Pythagorean Theorem is one of the most quantified axioms we understand, if the Calculus is reducing the logic down to it, I think it---at the very least---proves Calculus fundamentally. Though, it does prove Pythagorean Theorem, too, since we also know Calculus is a tested system, which is used in just about everything.
I mean, I'm just thinking about the suspicion this will arouse, as a response. But, I understand it. I don't think people who'd criticize my reasoning truly understand it. That's what I think. There might even be some PhDs in mathematics who disagree. Which, is probably why we're not doing too hot right now. It shouldn't be up for debate, at this point. Pythagorean Theorem is one of the most proven theorems there are, and if the Calculus worked, it'd have to prove Pythagorean Theorem. My thought will be called "Circular" but it's substantially, two empirical methods working to prove one another. It shouldn't be controversial at all.
But then, I can't, and will never be able to do calculus. So, I'd think, basically, Calculus would have to prove Pythagorean Theorem if it worked right. Wouldn't you? Like, if you work off the geometry of a right triangle, and calculus worked, shouldn't it be mutually compatible? I say that, because I don't want to have to be the one who proves it. I think these two ladies did a good job. And to my lay understanding of Geometry, from studying Euclid, it does make sense. To me, at least. Maybe I'm wrong.
what are you saying
Pythagorean theorem is not an axiom
@@user-pi1jf2fu3f I'm talking about sense 1 of the word, not the math term.
@@apuji7555 Very simply, that Calculus is used to find the Pythagorean Theorem in their proof. So, therefore, it is a proof that Calculus works, since Pythagorean Theorem is so well proven.
@@apuji7555 Basically, the whole thing they discovered, can be demonstrated as a proof for all mathematics, since the logic is finding Pythagorean Theorem. Naturally, it must, if there are equalities.
These ladies are the next Katherine Johnson’s!!!❤️
This is what Black Girl Magic is!
Yes, the magic of education, support, study, and practice.
imagine saying it for white girls , fking racists
Nahh
What does it have to do with race and gender?
@@reinhard7164 Two 17 year old black girls have been able to prove something that was thought to be impossible for 2,500 years. Given even semi equal opportunity, education, and bodily safety the people most oppressed would help humanity excel at a faster pace.
I don’t even know what a pythongaraman theorem is, so good on them.
Maybe they could be superheroes
I remember this concept in school.
RE: The 'Pythagorean' theorem:
Wikipedia: Pythagoras.
Wikipedia: Greek colonies in antiquity (c. 6th century BC).
Isn't this a special case of a more general formula?
Genius👏
Watch out world, girl power is phenomenal! So proud of you both; & your impact!
ya ya girl power ,lol.
Their proof is invalid. Pythagorean theorem cannot be proven using trigonometry. because without pythagorean theorem there is no trigonometry. 😂
@@paulhan3314Trig is based on the ratio of sides and their angles. Pythagorean Theorem is a result of the relationship.
@@paulhan3314There are some concepts in trig not based off of pythagoras' theorem.
@@joerob5917 still dont think using trig is a valid way to prove the theorem
find final print
It's gonna be raining scholarships!! Proud of these young Ladies as well (BEAUTIFUL).
Nice job.
Curious because The Nasa Katherine G. Johnson and Mary Jackson are the mathematicians that calculated the trajectory to the moon and these two amazing young woman share the same surname. 🥳🥳😊😊🧡🧡
Considering that this whole story smells like a contrived publicity stunt I'd say that was 8ntentional.
@@leslielandberg5620 what proof do you have for your assertion. Have you seen the their papers and the publication?
@@leslielandberg5620 hahaha the proof is out already cope and seethe
@@conscientunit1157 is it published? no
❤❤❤❤
Scientific mind starts with definition. You ladies rock.
Yes baby
asking a teen "do you have a plan for major and life after college?"
Bright girls.
🙏🏾🙏🏾💯💯🙏🏾🙏🏾
👏🏿👏🏿👏🏿
Isnt that the way it is taught in the first place?
MIT should recruit both girls and allow them to co-develop.
Okay
I saw other mathematicians demonstrated the proof - it is nothing that I don't know of, but the Waffle Cone part makes my jaw drop in awe, and after simplifing the infinite series, I saw a glimplse of Pythagorean theorem as the Sine law was applied. So ingenious, so elegant.
The infinite geometric was already an existing proof. They just put a couple of triangles on top and got lucky it worked. Makes me wonder if you could do the same with other existing geometric proofs.
👏👏
Great for them! They are excellent role-models for African-American children, especially the girls.
Universities should be offering these two free scholarships.
I hope they both go into scientific field.
They are genius level intelligent and with the right mentorship and education they can go on to make
great breakthroughs in the field of science.
So neither are doing math for college
Theyll use it to reduce to a factor of a point but it still wont be a fundamental value. Unless you use my two states of mass concept. Very fun to think about. They basically found a refractory index of trig from an null point. Idk if this is new. Peer review would be eager if so. However, you should keep enjoying math and pursue physics next
🎉😍
I'm sure after this, colleges will be up in arms trying to recruit these students. Say Hello to Harvard. 🎉
This is beautiful
Good job sisters!...Is this Nobel Prize worthy?
2.3 step
Great, so now 372 instead of 371 proofs.
Reporter made sure to give 3 reasons they were not legit before they had a chance to speak. Just report the story.
You noticed that too 😅. I was just thinking that she had still somehow managed to insult their intelligence along with every other young person.
It's just to frame the discovery or people will think these kids cracked gravity or something.
I would want those students to know that a person doesn't have to believe any false stories about what's new in their proof, to see value in it and in what they did.
Could you elaborate? I think I have an idea of what you mean but I'm not sure
@@dipset4016 All of the public attention that they're getting is because of a false claim that they made about what's new in their proof, and no one is seeing any value in what they actually did, that might be new. That can't be good for them. I would want them to know that there are people who think they deserve recognition and credit for their creativity and resourcefulness, for their math skills, and because they tried doing something that they thought was considered impossible by mathematicians, and never gave up until they succeeded.
@@jimhabegger3712 well it was already proofed and published using trig back in 2009 by Jason Zima, so they new it was possible. Still hard to make new proofs of pt using trig and they should be proud
I always see this happening why why is it that the ones who are good at maths always choose anything but maths why!? I- why?
Because math isn't where the money is, coupled with general risk avoidance.
H u can make me feel so good and happy and hard to get a good feeling
Come get ‘em NASA.
Yes but not. See the original full video. I have not followed the proof closely since then but did not see any circular reasoning.
👍🏼
Meanwhile, other lesser human beings are filming themselves putting buckets on unsuspecting people's heads and posting it on TikTok.