Recursive Mathematics Art: Boxes around Quarter Circle
Art by:
https://www.twitter.com/tiago_hands
https://www.instagram.com/tiago_hands
Watch on Instagram:
https://t.co/a6gStsZhmz
Watch on TikTok:
https://www.tiktok.com/@mathematics.proofs/video/7161060706270317829?is_copy_url=1&is_from_webapp=v1&lang=en
...
https://www.youtube.com/watch?v=c25wIU5tCFE
In this video I show to you visually and geometrically that when you square all the natural numbers up to n terms you get (n/6)*(n+1)(2n+1). This is part 2 of the complete proof. To access part 1 visit this link: https://youtu.be/QyMRREA_YPk
This proof can be used in conjunction with Further Pure Mathematics 1 material. It's a useful guide as to why (n/6)*(n+1)(2n+1) is true.
If you like this work and my videos in general, follow me on Instagram: https://www.instagram.com/tiago_hands/
I also have a mathematics proofs page on Instagram: https://www.instagram.com/mathematics.proofs/
For donations, access this page: https://flattr.com/@tiago_hands
As always, thanks for watching - and stay tuned and subscribed for more mathematics proofs!
...
https://www.youtube.com/watch?v=mLJNLtXh-Dw
How to show that a+ar+ar^2+ar^3+... converges to a/(1-r) using a clever visual proof
Link to Proofs Without Words III: https://www.amazon.co.uk/shop/mathematics.proofs/list/1YQG185SPG51Y?ref_=cm_sw_r_cp_ud_aipsflist_aipsfmathematics.proofs_1HBZSQ88JM0KNAK7WBJN
This video was created by:
https://www.twitter.com/tiago_hands
For more mathematics content, check out:
https://www.threads.net/@mathematics.proofs
https://www.instagram.com/mathematics.proofs
Thanks for watching this video and make sure you have subscribed if you want to see more videos like this!
...
https://www.youtube.com/watch?v=wQuJ9HmApAA
"Digitised" mathematical logo, created by Tiago Hands.
Find out how the logo was drawn by accessing this link: https://plus.google.com/+mathsvideosforweb/posts/do5TePGfRPD
...
https://www.youtube.com/watch?v=SQ_iMMwXF-0
The Helix Optical Illusion :: A 3D Looking 2D Graph
Created on Desmos.
By Tiago Hands: https://www.instagram.com/tiago_hands
...
https://www.youtube.com/watch?v=tU2jPsuLbAg
In this video I demonstrate an alternative way to show that: cos(θ-Φ)=cosθcosΦ+sinθsinΦ
For the distance formula derivation, simply visit: https://youtu.be/0Gkv_hauvy4?si=bsC-DPZtUhlrHqYl
If you'd like to purchase the book Fundamentals of University Mathematics, 3rd Edition, by Colin McGregor, Jonathan Nimmo and Wilson Stothers, visit my Amazon affiliate link:
https://www.amazon.co.uk/shop/mathematics.proofs/list/2U7KHRG9I050R?ref_=aip_sf_list_spv_ofs_mixed_d
For more mathematics content, check out:
https://www.instagram.com/mathematics.proofs
To follow me on Twitter, visit:
https://www.twitter.com/tiago_hands
Thanks for watching and see you next time!!
...
https://www.youtube.com/watch?v=epIbQbWYLjk