Revision as of 17:22, 2 December 2018 by Lplunkit (Talk | contribs)

Introduction

The golden ratio is a ratio such that, given two quantities a and b,

$ \frac{a+b}{a} = \frac{a}{b} $
$ LHS = \frac{a}{b} + \frac{b}{a} = 1 + \frac{b}{a} $
$ 1 + \frac{b}{a} = \frac{a}{b} $
$ r = \frac{a}{b} $
$ 1 + \frac{1}{r} = r $
$ r + 1 = r^2 $

MathIsFun also has an interactive display that can construct a rectangle in the golden ratio given a certain fixed width or length.

Retrieved from "https://www.projectrhea.org/rhea/index.php?title=Golden_Ratio:_Introduction&oldid=75734"
Shortcuts
Help Main Wiki Page Random Page Special Pages Log in
Search

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva