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关于微分圆投影变成变形椭圆的分析与研究
引用本文:张国坤.关于微分圆投影变成变形椭圆的分析与研究[J].测绘科学,2004,29(3):14-15.
作者姓名:张国坤
作者单位:吉林师大旅游与地理科学学院,吉林,四平,136000
摘    要:针对各种地图学教材中关于变形椭圆的证明提出了三个问题,通过对地图投影中的微分圆垂直投影或 斜投影分析,不仅证明了微分圆投影变成了变形椭圆,而且利用几何分析解决了各种地图学教材中关于变形椭圆 证明出现的三个问题,对进一步了解地图投影的变形分布规律有着重要的意义。

关 键 词:变形椭圆  地球椭球体  地图投影  经线长度比  纬线长度比
文章编号:1009-2307(2004)03-0014-02
修稿时间:2003年10月26日

The analysis and investigation of the little circle projecting into a deformed ellipse
ZHANG Guo-kun.The analysis and investigation of the little circle projecting into a deformed ellipse[J].Science of Surveying and Mapping,2004,29(3):14-15.
Authors:ZHANG Guo-kun
Abstract:This paper is aimed at the identification of a deformed ellipse in various map-teaching materials and raises three problems. Through the analysis of small-circle vertical projection or inclined projection of map projection, it not only proves that the small circle had projected into a deformed ellipse,but also solves the three problems which had emerged in the identification of the deformed ellipse in various map-teaching materials through geometrical analysis and it is of great importance for further elognizing of distribution regularity of deformation of map projection.
Keywords:deformed ellipse  earth ellipsoid  map projection  proportion of meridian length  proportion of parallel length
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