Get free YouTube views, likes and subscribers
Get Free YouTube Subscribers, Views and Likes

This is a legendary problem. It is taught in calculus but the ancients solved with only geometry

Follow
MindYourDecisions

A painting of 14 units hangs from a wall 18 units above your eye level. What is the distance you should stand from the wall to have the largest viewing angle? This problem dates all the way back to Regiomontanus in 1471. It's an incredible problem and the video presents 2 solution methods. Special thanks this month to: Kyle, Lee Redden, Mike Robertson, Daniel Lewis. Thanks to all supporters on Patreon!   / mindyourdecisions  

0:00 Problem
1:45 Solution 1
10:05 Solution 2

Image credits
https://en.wikipedia.org/wiki/Mona_Li...
https://en.wikipedia.org/wiki/Regiomo...

Construction of circle tangent to line and passing A, B
https://www.geogebra.org/m/CgHVUJs8

Regiomontanus hanging picture problem
https://www.maa.org/press/periodicals...
https://en.wikipedia.org/wiki/Regiomo...
https://math.stackexchange.com/questi...

Subscribe: https://www.youtube.com/user/MindYour...

Send me suggestions by email (address at end of many videos). I may not reply but I do consider all ideas!

If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.

If you purchase through these links, I may be compensated for purchases made on Amazon. As an Amazon Associate I earn from qualifying purchases. This does not affect the price you pay.

Book ratings are from January 2023.

My Books (worldwide links)
https://mindyourdecisions.com/blog/my...

My Books (US links)
Mind Your Decisions: Five Book Compilation
https://amzn.to/2pbJ4wR
A collection of 5 books:
"The Joy of Game Theory" rated 4.3/5 stars on 290 reviews
http://amzn.to/1uQvA20
"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" rated 4.1/5 stars on 33 reviews
http://amzn.to/1o3FaAg
"40 Paradoxes in Logic, Probability, and Game Theory" rated 4.2/5 stars on 54 reviews
http://amzn.to/1LOCI4U
"The Best Mental Math Tricks" rated 4.3/5 stars on 116 reviews
http://amzn.to/18maAdo
"Multiply Numbers By Drawing Lines" rated 4.4/5 stars on 37 reviews
http://amzn.to/XRm7M4

Mind Your Puzzles: Collection Of Volumes 1 To 3
https://amzn.to/2mMdrJr
A collection of 3 books:
"Math Puzzles Volume 1" rated 4.4/5 stars on 112 reviews
http://amzn.to/1GhUUSH
"Math Puzzles Volume 2" rated 4.2/5 stars on 33 reviews
http://amzn.to/1NKbyCs
"Math Puzzles Volume 3" rated 4.2/5 stars on 29 reviews
http://amzn.to/1NKbGlp

2017 Shorty Awards Nominee. Mind Your Decisions was nominated in the STEM category (Science, Technology, Engineering, and Math) along with eventual winner Bill Nye; finalists Adam Savage, Dr. Sandra Lee, Simone Giertz, Tim Peake, Unbox Therapy; and other nominees Elon Musk, Gizmoslip, Hope Jahren, Life Noggin, and Nerdwriter.

My Blog
https://mindyourdecisions.com/blog/

Twitter
  / preshtalwalkar  

Instagram
  / preshtalwalkar  

Merch
https://teespring.com/stores/mindyou...

Patreon
  / mindyourdecisions  

Press
https://mindyourdecisions.com/blog/press

posted by bederveem