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Here is a little geometric construction. Begin with a square, and divide it into two equal rectangles. Then find the diagonal of one of these rectangles, starting at a corner of the square. Use this diagonal as the radius of a circle, with its centre at the other end of the diagonal, and draw a circle-arc on one side of the square. Then extend the square to a rectangle, the breadth of which is just the side of the square, and the length of which is its base extended until it meets the arc you have drawn. The whole process looks like this:

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φ (‘Phi’ or ‘The Golden Ratio’)

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  • 发表日期：

    2025年

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  • Chris Brink

摘要

Here is a little geometric construction. Begin with a square, and divide it into two equal rectangles. Then find the diagonal of one of these rectangles, starting at a corner of the square. Use this diagonal as the radius of a circle, with its centre at the other end of the diagonal, and draw a circle-arc on one side of the square. Then extend the square to a rectangle, the breadth of which is just the side of the square, and the length of which is its base extended until it meets the arc you have drawn. The whole process looks like this: