Archimedes' Genius | Proof of the Archimedes Quadrature formula
Here's a proof of Archimedes' Quadrature formula without using calculus as Archimedes himself would've proved it in his time.
I haven't explained/proved the unique property of parabolas, for a more detailed explanation of the proof, please check out Professor Wildberger's video on the same topic | • Archimedes' squaring o... |
Check out my IG, / the_rookie_nerds for "more frequent", animated clips
Acknowledgements:
-Special Thanks To:
/ @theoremofbeethoven
Check his channel out, for learning Manim.
-Animations:
github.com/TheRookieNerd/Mani...
-Music
The Closing of Summer, by Allen Fulers, YT Audio Lib
Thanks to:
github.com/3b1b/manim
Created by Grant Sanderson:
www.3blue1brown.com/
kzread.info/dron/YO_.html...
Пікірлер: 30
Is there a more rigorous proof for the observation at 1:42? That A1 is the midpoint of AP? Great video :)
@TheRookieNerds
4 жыл бұрын
Yes, we can prove that the two triangles AA1L and APQ are similar (AQ= 2×AL, as PQ and A1L are parallel, lines AQ and AP are transversals, so we have two corresponding angles forming the AAS case, so AP = 2×AA1), hence AA1=A1P
@sujatas_crochet_hub
3 жыл бұрын
Apply midpoint theorem
@ChineseNailArtists
Жыл бұрын
i don't think its a midpoint..... tbh...
Fantastic video for an amazing result! I love the visuals, narration, and music that you use to clearly communicate the beautiful mathematics. When I finished I really couldn't help but say "WOOOW!" out loud.
Wow, that was very satisfying! I just love the cases of ancient mathematicians using Calculus without even knowing it...
This guy Archimedes has some math skills, he should become a researcher
@apoorvvyas52
23 сағат бұрын
I agree. I can provide him scholarship if he applies.
Great work man !!
What an elegant result !
Great visuals, thank you, subscribed, like your calm voice as well, keep it up man, would be great if you could also do some behind the scenes…
@TheRookieNerds
2 жыл бұрын
Hey thanks, will try one soon :)
Great work Archimedes!
Great one!Can you tell me which software are u using?or is it manim?
Very informative and to the point....can u give a reference on how equation of conic sections were 1st discovered....now we take it for granted...
Excellent bro...🔥keep going👍
@TheRookieNerds
4 жыл бұрын
Thank you.
Outstanding effort.
@TheRookieNerds
4 жыл бұрын
Thank you :)
Darn! Archimedes, you genius!
Hey are your animations made in manim? How did you learn it, I've been wanting to figure it out for a while
@TheRookieNerds
4 жыл бұрын
Checkout the first link in the description :)
💥
Great video
@TheRookieNerds
2 жыл бұрын
Thank you
Archimedes was a real chad
Raincoat call Napoli
Could you add subtitles to your videos? Some people might find you accent hard to understand.
@TheRookieNerds
4 жыл бұрын
Yeah sure thank you!
In English please