Talk:Golden ratio: Difference between revisions

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imported>Joe Quick
(→‎why does it follow: new section)
imported>Hayford Peirce
Line 9: Line 9:


The article states: "If <math>\frac{a}{b}= \frac{1 + \sqrt{5}}{2}</math>&nbsp; it follows that <math>\frac{a}{b}= \frac{a+b}{a} = 1 + \frac{b}{a}</math>"  Why does it follow?  I don't follow.  --[[User:Joe Quick|Joe Quick]] 21:11, 9 September 2009 (UTC)
The article states: "If <math>\frac{a}{b}= \frac{1 + \sqrt{5}}{2}</math>&nbsp; it follows that <math>\frac{a}{b}= \frac{a+b}{a} = 1 + \frac{b}{a}</math>"  Why does it follow?  I don't follow.  --[[User:Joe Quick|Joe Quick]] 21:11, 9 September 2009 (UTC)
== Hey, ho, people, couldn't we have a Definition that made a *little* sense!? ==
Has anyone *read* the current definition?  What does it have to do with the Golden ratio?

Revision as of 15:37, 9 September 2009

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 Definition:  An irrational mathematical constant — equal to (1+√5)/2, or approximately 1.618 — that is widely used in art, architecture, and design, for its aesthetic harmonious proportions. [d] [e]
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I removed the sentence which read:

The golden ratio is irrational and, in a sense, the hardest among irrational numbers to approximate by rational numbers. Only rational numbers are harder to approximate by other rational numbers. Thus one may say that of all irrational numbers the golden ratio is the least irrational.

because it doesn't make much sense to me, and what it seems to be saying appears to me to be clearly wrong. Anthony Argyriou 22:14, 15 October 2008 (UTC)

I don't know if it's right or wrong, but it sure doesn't make any sense to *me*! Please don't think that *I* put it in there! Hayford Peirce 22:45, 15 October 2008 (UTC)

why does it follow

The article states: "If   it follows that " Why does it follow? I don't follow. --Joe Quick 21:11, 9 September 2009 (UTC)

Hey, ho, people, couldn't we have a Definition that made a *little* sense!?

Has anyone *read* the current definition? What does it have to do with the Golden ratio?

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