关于微分圆投影变成变形椭圆的分析与研究

The analysis and investigation of the little circle projecting into a deformed ellipse

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。

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.