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How to derive the area of a circle from scratch (1 min 43 secs): Part 12
What you *need* in order to follow this video series:
1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
2. Trigonometry skills:
- Unit circle {https://scontent-lhr3-1.xx.fbcdn.net/v/t31.0-8/14324643_627264727441617_168387912534466908_o.jpg?oh=ea3f9cec2389ced6eaa76830057e7d85&oe=58FE04F9}
...
https://www.youtube.com/watch?v=46Hr8e3eGkc
1. Algebraic skills {http://mathsvideos.net/useful-algebraic-formulas/}
You need to know that: √(ab) = √a√b
2. Trigonometry skills:
- Unit circle {https://scontent-lhr3-1.xx.fbcdn.net/v/t31.0-8/14324643_627264727441617_168387912534466908_o.jpg?oh=ea3f9cec2389ced6eaa76830057e7d85&oe=58FE04F9}
...
https://www.youtube.com/watch?v=46Hr8e3eGkc
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This document will list the start and end dates of the 52 weeks and extra days which exist in the year 2020. (Fee: 30.00 LBRY Credits)
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This is a video of a Pringle illusion (elliptical cut-out of a hyperbolic paraboloid) made using the function f from R^2 to R graphing technique. It was made on Desmos.
Artist: https://www.instagram.com/tiago_hands
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These are just some clips and images related to my mathematical graphing explorations in late 2020.
I used Runiter's 3D Graphing Calculator and Desmos to create the work you see, and everything was built with equations.
Runiter's official website is here: https://www.runiter.com/
For Desmos, visit: https://www.desmos.com/
If you'd like to follow me on social media, go to: https://www.instagram.com/tiago_hands
For mathematics proofs, go to: https://www.instagram.com/mathematics.proofs
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https://www.youtube.com/watch?v=YcKkSFNoNSQ
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In this video I demonstrate (geometrically) why, when a sector is removed from a right angled triangle, the area (1/2)*(R^2)*(tanθ-θ) is what is left behind.
If you'd like the workings shown in this video, visit: https://twitter.com/tiago_hands/status/1502608547112271875
For extra mathematics proofs, visit: https://www.instagram.com/mathematics.proofs
To follow me on social media, visit:
https://www.instagram.com/tiago_hands
https://www.twitter.com/tiago_hands
Thanks for watching, and make sure you are subscribed to my channel for more mathematics / geometric proofs!
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https://www.youtube.com/watch?v=KU5-rzgG9vI
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IF A|
if-a-b-and-a-c,-this-implies-that-a
In this video I help demonstrate why, if a|b and a|c, this implies that a|bn+cm for all a, b, c, m, n ∈ Z where a≠0. This proof is suitable for anyone studying Further Pure Mathematics 2.
This video was created by:
https://www.twitter.com/tiago_hands
For more mathematics content, check out:
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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!
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https://www.youtube.com/watch?v=gC0UbN8OQHA
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In this video I show you how to find the line that cuts through the intersection points of two circles using geometry and algebra. With this line, you can then find the intersection points of two circles, which I'll be demonstrating how to do in my next Youtube video.
To access the graph featured in this video, visit: https://www.desmos.com/calculator/2ayvk7qzvw
To support me on social media, follow:
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For extra mathematics proofs content, check out:
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In this video I demonstrate how to get Ramanujan's infinite nested radical, √(1+2√(1+3√(1+4√(1+5√(1+...))))), from scratch.
To get Mathematics Proofs delivered to you on Instagram, visit this page: https://www.instagram.com/mathematics.proofs/
Hope to see you again soon!
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https://www.youtube.com/watch?v=A4eI2I09b_g
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THE K
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In this video I present to you the first 5 iterations of the Koch snowflake. The Koch snowflake is also known as the Koch curve, the Koch star and Koch island.
It was discovered by the Swedish mathematician Helge von Koch. It first appeared in a paper in 1904 called "On a Continuous Curve Without Tangents, Constructible from Elementary Geometry" by the man himself.
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Source:
https://en.wikipedia.org/wiki/Koch_snowflake#targetText=The%20Koch%20snowflake%20(also%20known,fractals%20to%20have%20been%20described.
Description by Tiago Hands [https://www.instagram.com/tiago_hands/] using Wikipedia as a source.
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https://www.youtube.com/watch?v=OqGKzyr_OgY
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