Archimedes' Genius | Proof of the Archimedes Quadrature formula

Рет қаралды 11,220

4 жыл бұрын

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/
kzfaq.info/love/YO_...

Пікірлер: 29

@SanjayKannan4502 4 жыл бұрын

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...

@maciejjakubiak2828 Ай бұрын

Wow, that was very satisfying! I just love the cases of ancient mathematicians using Calculus without even knowing it...

@DLMF2010 4 ай бұрын

This guy Archimedes has some math skills, he should become a researcher

@ageoftherapy 3 ай бұрын

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.

@sigmainclination9483 3 жыл бұрын

Great work man !!

@xvegitto 2 жыл бұрын

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 :)

@gardenmenuuu 3 жыл бұрын

Great one!Can you tell me which software are u using?or is it manim?

@ismailhasan348 2 жыл бұрын

What an elegant result !

@rajibkudas123 2 жыл бұрын

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...

@krissh_the_dev 4 жыл бұрын

Outstanding effort.

@TheRookieNerds 4 жыл бұрын

Thank you :)

@gdhinesh7748 4 жыл бұрын

Excellent bro...🔥keep going👍

@TheRookieNerds 4 жыл бұрын

Thank you.

@retropuffer2986 2 жыл бұрын

Great work Archimedes!

@bghnv123 4 жыл бұрын

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 :)

@ARBB1 2 жыл бұрын

Great video

@TheRookieNerds 2 жыл бұрын

Thank you

@prof.sonamkumar 11 ай бұрын

Darn! Archimedes, you genius!

@gkatelier 10 ай бұрын

💥

@user-fv1km8vr7p 2 жыл бұрын

Raincoat call Napoli

@mepkn 2 жыл бұрын

Archimedes was a real chad

@gijsb4708 4 жыл бұрын

Could you add subtitles to your videos? Some people might find you accent hard to understand.

@TheRookieNerds 4 жыл бұрын

Yeah sure thank you!

@pwcrabb5766 Жыл бұрын

In English please