2000多年前,亚里士多德(公元前384～公元前322)发现两个同轴不同半径轮子(图1)滚动时产生的悖论,即亚里士多德轮子问题,大轮子沿着平面从点A滚到点 B(图2),小轮子滚过线段 CD 和大轮子经过了同等距离。这似乎意味着小轮子的周长等于大轮子的周长,可是这显然不成立。 More than 2,000 years ago, Aristotle (384 BC-322 BC) discovered the paradox of two coaxial wheels of different radii (Fig. 1) rolling, that is, the problem of the Aristotle wheels. The plane rolls from point A to point B (figure 2), and the small wheels roll over the segment CD over the same distance as the big wheel. This seems to imply that the circumference of the small wheel is equal to the circumference of the big wheel, but this obviously does not hold.