(续上)而内接于圆的正方形,周长比那圆的周长小一半——把正方形周长的一半加到正方形周长上,就等于外接圆的周长。所以周长二十四肘的圆,正好外接 拉比约哈难 所定周长十六肘的正方形。革玛拉评说:其实不然,我们看得出外接圆的周长没有那么多,实际更近于十七肘。
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而一个内接于圆的正方形,它的周长比那圆的周长小一半;就是说,人若把这正方形周长的一半加到这正方形的周长上,就等于它外接之圆的周长。
while the perimeter of a square circumscribed by a circle is smaller than the circumference of that circle by half, i.e., if one adds half the perimeter of the square to the perimeter of the square, that is equal to the circumference of its circumscribing circle.
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所以一个周长二十四肘的圆,会外接一个周长十六肘的正方形,正如 拉比约哈难 所定的。
Therefore, a circle with a circumference of twenty-four cubits would circumscribe a square with a perimeter of sixteen cubits, as prescribed by Rabbi Yoḥanan.
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革玛拉评说:然而实情并非如此,因为我们看得出外接之圆的周长并没有那么多。
The Gemara notes: And that is not the case, as we see that the circumference of the circumscribing circle is not that much.
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实际的周长更近于十七肘。
The actual circumference is closer to seventeen cubits.