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Colcaps Group TitleBest ResponseYou've already chosen the best response.0
you want explaining or you wanna know what it is?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
I wanna know what it is.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
dw:1350296531363:dw
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Why is it known as golden ratio? What is "exactly golden ratio? What are its applications in everyday life, and other things? Who invented it?
 2 years ago

Colcaps Group TitleBest ResponseYou've already chosen the best response.0
http://en.wikipedia.org/wiki/Golden_ratio
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Greeks, pops up all over the place....
 2 years ago

Colcaps Group TitleBest ResponseYou've already chosen the best response.0
yeah diagrams and dimensions use golden ratio
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
golden ratio was not invented, it was discovered
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
I have to make a chart and a file for it, so what exactly should I write there ? lol, @UnkleRhaukus sorry, Who discovered it? :)
 2 years ago

Colcaps Group TitleBest ResponseYou've already chosen the best response.0
Michael Maestlin
 2 years ago

Colcaps Group TitleBest ResponseYou've already chosen the best response.0
or Ancient Greeks
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
"golden ratio was not invented, it was discovered" Debatable.
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
it can be measured @estudier
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
I am making a project on it!
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
1+1/1+/1+/1+/1...... = GR
 2 years ago

UnkleRhaukus Group TitleBest ResponseYou've already chosen the best response.0
the limit of the ratio of consecutive fibonacci numbers
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Convergents of 1+1/1+/1+/1+/1......are ratios of successive F numbers
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
sorry to say but : NOT getting it.
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
\[\color{blue}{\large{\phi}}=\color{red}{\LARGE{GR}}\]?is it so ?
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@mathslover A line segment which is divided into two segments, with a greater length α and a smaller length β such that the length of α + β is to α as α is to β, is divided into the golden ratio. Hence\[\frac{ \alpha +\beta }{ \alpha }=\frac{ \alpha }{ }\]and\[(\frac{ \alpha }{ \beta })^{2}\frac{ \alpha }{ \beta }1=0\]where the positive solution for\[\frac{ \alpha }{ \beta }=\frac{ \sqrt{5}+1 }{ 2 }=\frac{ 2 }{ \sqrt{5}1 }\]FYI It is also called the golden section or the divine section.
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
Notice that the Greeks messed about with this without worrying about the radical (they worried only about the ratio)
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@mathslover do you understand?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Understood! Thanks a lot!
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@mathslover You welcome. I thought you didn't like my explanation. lol
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Not exactly like your thought, but I think it will take time for me to completely understand it!
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
By the way, I just noticed that in my explanation, there is a β missing in the denominator of the right side of the first equation.
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@mathslover is this something you're learning in school right now?
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
1) That was a small mistake, sir, no problem for that. 2) Actually,NO sir, I am in 9th class and their is no such thing so far as I know at least in school learning upto 12th class. But though, I am told to make a project (file,charts) related to mathematics interesting discovery (any) . I chose, golden ratio as my topic for project as it is applicable, understandable etc, A good topic for project, actually, I think!
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
Usually there are no such things that I have ever seen in the textbooks but ^those studies of new discoveries are very important! Thanks for helping me out!
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
http://www.youtube.com/watch?v=5zosU6XTgSY ^ is khanacademy video good for understanding golden ratio further?
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
also watch parthenon reconstruction project video, you may google...
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@mathslover I've never checked those videos out. Perhaps I will when I have time.
 2 years ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.0
one thing i read about the golden ratio was it = height of human / height of his/her navel!! not sure if i believe that  lol! seems a bit bizarre...
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
lol I never checked that, may be interesting!
 2 years ago

ganeshie8 Group TitleBest ResponseYou've already chosen the best response.0
ideal human form.. in anatomy they use that i think
 2 years ago

estudier Group TitleBest ResponseYou've already chosen the best response.1
http://www.vali.de/archives/1117
 2 years ago

mathslover Group TitleBest ResponseYou've already chosen the best response.0
^ interesting
 2 years ago

calculusfunctions Group TitleBest ResponseYou've already chosen the best response.3
@estudier that's a wonderful recommendation. Thanks! It is true that the golden ratio can be observed in nature.
 2 years ago

lharrell97 Group TitleBest ResponseYou've already chosen the best response.0
a logarithmic spiral, also known at golden ratio or golden spiral, is a spiral curve that is often found in nature. for example, the little diamond shaped sections on the outside of a pineapple are actually spiraling upwards at a constant angle. another example is the angle of descent of a hawk towards it's prey.
 2 years ago
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