哈密顿原理与费马—斯坦勒尔问题的变型

The Hamilton's Principle And Transformed Fermat-Steiner Problem

提出变型后的费马—斯坦勒尔问题,即在平面上找一点,使它到该平面上给定两点和一直线的距离的加权和最小.应用哈密顿原理,用物理学方法解决了这一问题,显示出用物理学方法解决数学问题的优越性.

The transformed Fermat- Steiner problem was discussed and resolved by physical method according to Hamihonian theory, which is how to search a point that the distances＇ weighted sum is minimum in a plane. The distances are two distances between the point and two given points in the plane and the distance between the point and a given straight line in the plane.