The Circular Motion Illusion Explained Mathematically
by Super User, 3 years ago
My blog post for this video
Thanks to all Patrons! Special thanks to:
If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions
You can try it for yourself in this GeoGebra interactive rolling circles. Set a = 6, b = 3, and remove the click mark for the outside circle. Mark the box for path or trace and click roll.
Copernicus' Theorem proof
Proof from Lines and Curves: A Practical Geometry Handbook.
By Victor Gutenmacher, N.B. Vasilyev. Preview
Inscribed angle theorem
You can create this illusion in Powerpoint with a tutorial from the YouTube channel "The Teacher":
Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you.
My Blog: http://mindyourdecisions.com/blog/
Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r
"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 27 reviews) https://www.amazon.com/gp/product/1500497444
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews) https://www.amazon.com/gp/product/1523231467/
"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews. https://www.amazon.com/gp/product/1517421624/
"Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1517531624/
"Math Puzzles Volume 3" is the third in the series. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1517596351/
"40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.7/5 stars on 12 reviews) https://www.amazon.com/gp/product/1517319307/
"The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews) https://www.amazon.com/gp/product/150779651X/
"Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews) https://www.amazon.com/gp/product/1500866148/
Super User uploaded a new media, The Circular Motion Illusion Explained Mathematically
3 years ago