Thursday, March 9, 2017

In a rectangle..........whose sides are 3 and 2i..........the diagonal....is the square root of 5..


In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1 : 1 + 5 2 {\displaystyle 1:{\tfrac {1+{\sqrt {5}}}{2}}} , which is 1 : φ {\displaystyle 1:\varphi } (the Greek letter phi), where is approximately 1.618.

Golden rectangle - Wikipedia

https://en.wikipedia.org/wiki/Golden_rectangle
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Golden rectangle - Wikipedia

https://en.wikipedia.org/wiki/Golden_rectangle

In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, 1 : 1 + 5 2 {\displaystyle 1:{\tfrac {1+{\sqrt {5}}}{2}}} , which is 1 : φ {\displaystyle 1:\varphi } (the Greek letter phi), where is approximately 1.618.
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Golden ratio - Wikipedia

https://en.wikipedia.org/wiki/Golden_ratio

In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right ...
Decimal‎: ‎1.6180339887498948482... A001622
Hexadecimal‎: ‎1.9E3779B97F4A7C15F39
Binary‎: ‎1.1001111000110111011
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