地理学报 ›› 1979, Vol. 34 ›› Issue (2): 139-155.doi: 10.11821/xb197902005

• 论文 • 上一篇    下一篇

试论地图投影的分类

李长明   

  1. 贵州大学数学系
  • 出版日期:1979-04-15 发布日期:1979-04-15

ON THE CLASSIFICATION OF MAP PROJECTIONS

Li Changming   

  1. Department of Mathematics, Guizhou University
  • Online:1979-04-15 Published:1979-04-15

摘要: 地图投影的分类,常见的主要有两种划分标志,一是依据投影后表象的不变性(或即变形性质),二是按正常位置下经纬线的形状来区分。前者是属于内在的问题,后者是属于外在的问题。

关键词: 等角投影, 类投影, 等距投影, 变形椭圆, 地图投影, 等积投影, 面积变形, 双曲型, 角度变形, 等长

Abstract: Through analyzing the invariants in map projection and according to the condi-tions whether there are any directions along which length of segements is true, the author finds that the projections can be mainly divided into three categories, i.e., elliptic, parabolic and hyperbolic. A new way of studying map projection has been derived and the problems remained in Prof. Wu's monograph "mathematic carto-graphy" (1964, in Chinese) are solved.