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== Introduction == | == Introduction == | ||
| − | + | The golden ratio is a ratio such that, given two quantities a and b, | |
| − | <math> \frac{a+b}{a} = \frac{a}{b} </math> | + | <center> <math> \frac{a+b}{a} = \frac{a}{b} </math> </center> |
| + | |||
| + | <center> <math> LHS = \frac{a}{b} + \frac{b}{a} = 1 + \frac{b}{a} </math> </center> | ||
| + | |||
| + | <center> <math> 1 + \frac{b}{a} = \frac{a}{b} </math> </center> | ||
| + | |||
| + | <center> <math> r = \frac{a}{b} </math> </center> | ||
| + | |||
| + | <center> <math> 1 + \frac{1}{r} = r </math> </center> | ||
| + | |||
| + | <center> <math> r + 1 = r^2 </math> </center> | ||
MathIsFun also has an interactive display that can construct a rectangle in the golden ratio given a certain fixed width or length. | MathIsFun also has an interactive display that can construct a rectangle in the golden ratio given a certain fixed width or length. | ||
Revision as of 16:22, 2 December 2018
Introduction
The golden ratio is a ratio such that, given two quantities a and b,
MathIsFun also has an interactive display that can construct a rectangle in the golden ratio given a certain fixed width or length.
