THE GOLDEN RECTANGLE IS CONSTRUCTED
Channel: Chandan Institute Of Education C.I.O.E
Date: 20/08/2017

We now look at a two-dimensional geometric interpretation of the golden ratio condition c = a + b and  as shown in the sketch alongside.

This condition implies that the two rectangles in the sketch are similar. We want to construct such a rectangle, prove that or explain why the construction works, and find the dimensions of such a rectangle.
Click on the button below to see how Euclid (300 BCE) constructed a golden rectangle. Now prove that the constructed rectangle is golden, i.e. that the ratio of the sides of this rectangle is in the golden ratio.




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