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/
th-cam.com/channels/YO_.html...

[@SanjayKannan4502]

Is there a more rigorous proof for the observation at 1:42? That A1 is the midpoint of AP?
Great video :)

[@TheRookieNerds]

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]

Apply midpoint theorem

[@ChineseNailArtists]

i don't think its a midpoint..... tbh...

[@DLMF2010]

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

[@ageoftherapy]

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.

[@maciejjakubiak2828]

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

[@sigmainclination9483]

Great work man !!

[@gardenmenuuu]

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

[@rajibkudas123]

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...

[@xvegitto]

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]

Hey thanks, will try one soon :)

[@ismailhasan348]

What an elegant result !

[@gdhinesh7748]

Excellent bro...🔥keep going👍

[@TheRookieNerds]

Thank you.

[@retropuffer2986]

Great work Archimedes!

[@bghnv123]

Hey are your animations made in manim? How did you learn it, I've been wanting to figure it out for a while

[@TheRookieNerds]

Checkout the first link in the description :)

[@krissh_the_dev]

Outstanding effort.

[@TheRookieNerds]

Thank you :)

[@ARBB1]

Great video

[@TheRookieNerds]

Thank you

[@prof.sonamkumar]

Darn! Archimedes, you genius!

[@gkatelier]

💥

[@gijsb4708]

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

[@TheRookieNerds]

Yeah sure thank you!

[@mepkn]

Archimedes was a real chad

[@user-fv1km8vr7p]

Raincoat call Napoli

[@pwcrabb5766]

In English please