ohhhh.....F@#k.....hehe....yesterday night...wile i was thinking how to proof it ....i did this.....and i was so happy!!.....(15 years old)......well....its good i that i thooght this on my own.....but it would be greater ..if i was the first who did this.........!!!....
@DrummerOfDust Great work if you came up with the proof independently! It's hard to come up with an entirely new proof because this particular theorem has been around for so long (thousands of years).
Oh My Gosh! Thank you so much! I have to do this project based on the proof of the Pythagorean Theorem, so I asked my dad why the equation a² + b² = c² works and all we said was,"because it does, that's just the rule." So I got super angry and showed him your video and he was like, "Oh! I get it now! Let me show you."
THANK YOU SO MUCH FOR SAVING MY GRADES AND TEACHING MY DAD (AND I) SOMETHING SO COMPLICATING.
Good point, Laura! The left picture does show that (a+b)² = c² + 2ab, and from there you can just use algebra to get a² + b² = c², as you show.
The reason I drew both pictures is because I think it helps to visualize why the theorem is true. Maybe you can imagine both pictures moving together as you slightly modify the triangle. For me, proofs like this feel much more convincing most algebraic proofs -- of course, they are just as true!
Sir thank you for presenting this short but very informative proof. if you were my teacher maybe im so lucky... Im a teacher too in math here in the Philippines.. In fact this is my report now in the graduate studies to present the different proofs of Pythagorean Theorem... Thanks being the best...
That was indeed a cool proof. When you started drawing the diagram, I decided to try to complete the proof myself, and I did, but I didn't draw the second part of the diagram; insted, I used algebra. So your video was quite satisfying. Thanks.
Hey, glad you liked it. There are a ton of proofs of this theorem -- I chose this one because it's very easy to see as a single picture, with the two squares next to each other.
Also, good job finishing your own proof! Nice work.
You are fukcing copywriter sheet
If you like Bertrand Russell just say it!!!
Don't kick me MF!!!!!
mikeleatbg 1 year ago
You are fukcing copywriter sheet
If you like Bertrand Russell just say it!!!
mikeleatbg 1 year ago
Wisdom of the West
Bertrand Russell (Author)
If you don't know who is BR you are amateur
Wish you well.
mikeleatbg 1 year ago
ohhhh.....F@#k.....hehe....yesterday night...wile i was thinking how to proof it ....i did this.....and i was so happy!!.....(15 years old)......well....its good i that i thooght this on my own.....but it would be greater ..if i was the first who did this.........!!!....
DrummerOfDust 1 year ago
@DrummerOfDust Great work if you came up with the proof independently! It's hard to come up with an entirely new proof because this particular theorem has been around for so long (thousands of years).
tylerneylon 1 year ago
No no, it's no independent work.
Why people just: say:
I have seen this solution in book "Wisdom of the west" from Bertrand Russsell"
mikeleatbg 1 year ago
This has been flagged as spam show
Oh My Gosh! Thank you so much! I have to do this project based on the proof of the Pythagorean Theorem, so I asked my dad why the equation a² + b² = c² works and all we said was,"because it does, that's just the rule." So I got super angry and showed him your video and he was like, "Oh! I get it now! Let me show you."
THANK YOU SO MUCH FOR SAVING MY GRADES AND TEACHING MY DAD (AND I) SOMETHING SO COMPLICATING.
julieh12345 1 year ago
you just saved my math grade(: haha thanks
abc12225 1 year ago
@abc12225 cool, glad you liked it!
tylerneylon 1 year ago
Good point, Laura! The left picture does show that (a+b)² = c² + 2ab, and from there you can just use algebra to get a² + b² = c², as you show.
The reason I drew both pictures is because I think it helps to visualize why the theorem is true. Maybe you can imagine both pictures moving together as you slightly modify the triangle. For me, proofs like this feel much more convincing most algebraic proofs -- of course, they are just as true!
tylerneylon 1 year ago
(a + b)² = a² + 2ab + b² = (a² + b²) + 2ab = c² + 2ab
=> c² = (a² + b² + 2ab) - 2ab = (a + b)² - 2ab
(it's all in the left drawing)
I would like to see the proof without drawing a square because a² + b² = c² has already 3 squares!
laura43fun 1 year ago
pythagoras was greek!
and i am greek!so proud of it!!!!!
akis95luffy 1 year ago
Thank you SO much for EXPLAINING this proof. I've seen it everywhere but have NO idea how to explain it!!
I need to do a documentary on this, and it really, really helped.
Do you know who came up with this proof and why? Anyway, thank you very, very much.
Daniizle 2 years ago
Sir thank you for presenting this short but very informative proof. if you were my teacher maybe im so lucky... Im a teacher too in math here in the Philippines.. In fact this is my report now in the graduate studies to present the different proofs of Pythagorean Theorem... Thanks being the best...
quibingcorickyamanci 2 years ago
I saw this in God Created The Integers by hawking.
orangefan9 2 years ago
Hey,
That was indeed a cool proof. When you started drawing the diagram, I decided to try to complete the proof myself, and I did, but I didn't draw the second part of the diagram; insted, I used algebra. So your video was quite satisfying. Thanks.
11Agamemnon235 3 years ago
Hey, glad you liked it. There are a ton of proofs of this theorem -- I chose this one because it's very easy to see as a single picture, with the two squares next to each other.
Also, good job finishing your own proof! Nice work.
tylerneylon 3 years ago
good stuff u dont know how many ppl u save because they hate math and u made it easy for us
ynilupac 3 years ago
thanks!
tylerneylon 3 years ago
nice handwriting (:
sexycathy312 3 years ago