摘要
得到了三轴椭球面面积的一些新的表示，并推知三轴椭球面的面积关于其三个半轴是对称的；作为特例还得到了两类旋转椭球面的面积；最后提出了当三轴椭球面接近于球面时其面积的一个相当准确的近似表达式。
Some new formulae about the area of the 3 axes ellipsoid are obtained,by which that the area of the 3 axes ellipsoid is symmetric relation to its three semi axes is implied.The area of two classes of rotational ellipsiod is also obtained as a special example.Finally,a rather precise,approximate formula for the area of the 3 axes ellipsoid when it tends to sphere is proposed.
关键词
三轴椭球面
面积
近似公式
椭球面
the area of the 3 axes ellipsoid
area
Legendre results
special example
approximate formula
