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Sequences 5: Golden Rectangles



Constructing Golden Rectangles from squares, and finding the Golden Ratio.

Channel: Education
Uploaded: December 31, 1969 at 6:59 pm
Author: MathTV

Length: 08:03
Rating: 4.91
Views: 14490

Tags: algebra  golden  help  math  mathtv  mckeague  rectangle  sequence  

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Video Comments

rogermoore27 (December 31, 1969 at 6:59 pm)
the best part was when the equation went off the screen. I'm kidding. What I want to know is how do you know how the arc should be drawn?
lipslacedwitpoison (December 31, 1969 at 6:59 pm)
He just means the ratio of l/w which turns out to be 1 + root 5 over 2: then he just divided to get the decimal.
skibee50 (December 31, 1969 at 6:59 pm)
he needs to be consistant where he makes his new smaller rectangle so the curve is accurate. But good explaination anyway. Q. How did pathagarus come up with the 3,4,5 therom
muntasir20 (December 31, 1969 at 6:59 pm)
great vid explianed alot to me when my teachers tryed to explain it i didnt get 1 word thks alot!
jianchen0628 (December 31, 1969 at 6:59 pm)
Thank yOu for conveying the knowledge!Simply great! When I need to find this knowledge, U have already explained it in a very comprehensible way. TERIMA KASIH!
tonyrueb (December 31, 1969 at 6:59 pm)
also the inverse of the golden ratio 1/1.618 is the one less then the golden ratio 1.618 - 1so if you do 1/x = x-1 you also get it
Kizluk (December 31, 1969 at 6:59 pm)
You can find the golden ration easily by finding the positive solution of the quadratic equation x^2-x-1 = 0.Use the quadratic formula and you get (1+-sqrt(5))/2
andhisband (December 31, 1969 at 6:59 pm)
He says, "postage stamp." Twice. Did you mis-hear or were you trying to be funny?
Mafakae (December 31, 1969 at 6:59 pm)
hahaha LOL!
Mafakae (December 31, 1969 at 6:59 pm)
well if u get one of the answers (which i typed in brackets) and then divided it by the previous answer (in brackets) u get 1.618. eg: 55 divided by 34 = 1.618 or even: 34 divided by 21 = 1.618. That is, 1.618 is called the golden ratio/mean. it is seen in nature pretty much everywhere! the guy in this video is just showing how to work it out and look at it 'visually'

 

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