椭圆边经线多圆锥投影

摘要

提出建立椭圆边经线多圆锥投影的原理和方法,给出经线方程、纬线方程,求得x、y关于φ的偏导数和关于λ的偏导数后,即求得高斯系数并推导包括沿经线和沿纬线长度比、面积比和最大角度变形等的变形公式.用一算例说明椭圆边经线多圆锥投影的设计步骤和方法.%The authors put forward the elements and method which construct polycnic projection with ellipse as edge meridian, gave the meridian equation and parallel equation. After the partial derivative of x, y about and about have been asked at once the Gauss coefficients and inquire into the distortion formula include the proportion of length of along meridian and along parallel, prorortion of area and maximum angular distortion) etc. A computational example shows the design step and method for the polyconic projection with ellipse as edge meridian.