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Here is a little experiment. Take an A4 sheet of paper, and measure its sides, then use your calculator to find the ratio of its length to its breadth. Now find the middle of the long side, and then fold the A4 sheet into two equal halves at that point. Both of these halves are then sheets of size A5, as you probably know. Now repeat the experiment: measure the sides of an A5 sheet, and then calculate the ratio of its length to its breadth. You will find that this ratio is the same for an A5 sheet as for an A4 sheet. You can repeat the experiment with an A3 sheet, and you will find the same again: the ratio of length to breadth is the same for all these sheets.

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√2 (‘The Square Root of 2’)

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  • 发表日期：

    2025年

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  • Chris Brink

摘要

Here is a little experiment. Take an A4 sheet of paper, and measure its sides, then use your calculator to find the ratio of its length to its breadth. Now find the middle of the long side, and then fold the A4 sheet into two equal halves at that point. Both of these halves are then sheets of size A5, as you probably know. Now repeat the experiment: measure the sides of an A5 sheet, and then calculate the ratio of its length to its breadth. You will find that this ratio is the same for an A5 sheet as for an A4 sheet. You can repeat the experiment with an A3 sheet, and you will find the same again: the ratio of length to breadth is the same for all these sheets.