High School seniors discover possible new proof for the Pythagorean theorem 

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.

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

Amazed-great to see promising, talented young people! Awesome job, ladies.

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❤

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.

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. 🎉

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.

Congratulations young gals! I can't wait to hear the final outcome! Proud!🤩

Wishing the two of you the best in your studies and your future.

Thank you so much for being such a Positive force in the world of mathematics. I'm so very Proud of you both :)

This is so amazing! They must be extremely proud of themselves. I hope they lead long lives and thrive in their field of study 💜

This is huge. Kudos to them.

Freaking awesome. Congratulations young ladies!! 🎉🎉👏

Happy for these young people.

WOMEN IN STEM! WOMEN IN STEM! WOMEN IN STEM! ❤🧡💛💚💙💜

Environmental engineering and bio chemistry... Go change the world girls!

Wow and kudos to these fine young mathematicians.

Well, that's a start for an explanation. Now I gotta dig through the rest of RU-vid to see if anyone else has gone into more depth and detail.

I know their parents are proud😊

Thank you. Loved it.

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

Such positive news! Good for them.

amazing job ladies!!

Wow! They're a real life Shuri and Riri Williams! :)

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.

Wow, wow, wow! Our future is in great hands mathematically, in environmental issues and in biochemistry!! Great job!

Very cool!!!! New eyes on old problems

Wonderful ❤️! Absolutely amazing 👏🏾

Pretty dang cool.

Congratulations Ladies Well Done. You're both brilliant and beautiful!

This is what Black Girl Magic is!

Congratulations ladies! Although I’m trying to minimize cliches, the future is looking bright!

congratulations!

Smart girls.

Amazing❤ these girls are role models

Great story. We want more.

Proud of you guys🎉

awesome!!! what a proof

Excellent!

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. 🥳🥳😊😊🧡🧡

Yay!! We love to see it!!! 👏🏽👩🏾‍🏫

Watch out world, girl power is phenomenal! So proud of you both; & your impact!

amazing!

Idk about proofs until college. I don't recall being taught about them in h.s. wow!

Congratulations ladies on your findings (proof) ❤

I don’t even know what a pythongaraman theorem is, so good on them.

Girl power!

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

Absolutely warms my heart, magnificent ladies, absolutely magnificent!!

Congrats Ladies!

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!!

Amazing

BRAVO girls ❤️❤️🙏🏻🙏🏻

Very cool!!!

Maybe they could be superheroes

RE: The 'Pythagorean' theorem: Wikipedia: Pythagoras. Wikipedia: Greek colonies in antiquity (c. 6th century BC).

This is cool ❤ great job girls

Congrats girls!

It's gonna be raining scholarships!! Proud of these young Ladies as well (BEAUTIFUL).

I remember this concept in school.

So cool ❤

asking a teen "do you have a plan for major and life after college?"

Outstanding ❤

So cool 💕💕

These ladies are the next Katherine Johnson’s!!!❤️

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.

Beautiful

Isn't this a special case of a more general formula?

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.

Scientific mind starts with definition. You ladies rock.

Cool! Smart and intuitive students!

I'm sure after this, colleges will be up in arms trying to recruit these students. Say Hello to Harvard. 🎉

MIT should recruit both girls and allow them to co-develop.

Meanwhile, other lesser human beings are filming themselves putting buckets on unsuspecting people's heads and posting it on TikTok.

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

❤❤❤❤

Black Girl Magic. Black Excellence.

🎉😍

Genius👏

Isnt that the way it is taught in the first place?

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.

So neither are doing math for college

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.

find final print

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?

Bright girls.

Nice job.

🙏🏾🙏🏾💯💯🙏🏾🙏🏾

Yes but not. See the original full video. I have not followed the proof closely since then but did not see any circular reasoning.

H u can make me feel so good and happy and hard to get a good feeling

They will have to rewrite every math book from now on to add these girls’ proof. This is actually game breaking how they solved it and how they came about thinking in that way.

Good job sisters!...Is this Nobel Prize worthy?

This is beautiful

Yes baby

👏👏

Come get ‘em NASA.

👏🏿👏🏿👏🏿