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古希腊流传三大著名几何作图问题[1]:(1)化圆为方,即求作一个正方形,使其与给定的圆面积相等.(2)倍立方体,即求作一立方体,使其体积等于已知立方体的两倍.(3)三等分任意角.作图工具只允许使用圆规与(不带刻度的)直尺.为了解决这些问题,古希腊的许多数学家都付出了持之不懈的努力,当然他们都未能成功.事实上,这三大作图问题在19世纪被数学家证明是不可解的.但是,古希腊人对三大作图问题的长期探索并非
Ancient Greece spread the three famous geometric mapping problem [1]: (1) round for the square, that is to make a square, so that it is equal to the given circular area (2) times the cube, that is, seeking a cube, Make its volume equal to twice the known cube. (3) trisection of any angle. Drawing tools only allow the use of compasses and (without scale) Ruler. In order to solve these problems, many ancient Greek mathematicians have paid Of course, none of them have succeeded, and in fact, the three major problems of plotting were proved unsolvable by mathematicians in the nineteenth century, but the ancient Greeks did not explore the three major problems of mapping long-term