1. Solving practical problems: Mathematical geometry provides a way to understand and describe the shape and spatial relationship of objects in the real world. For example, architectural design, engineering design, geographic information system and other fields all need geometric knowledge.
2. Developing science and technology: Many scientific and technological developments are inseparable from the support of geometry. For example, the theory of mechanics and electromagnetism in physics, the cell structure in biology and the molecular structure in chemistry all need geometric knowledge.
3. Cultivate logical thinking ability: Geometry is a rigorous science, which requires researchers to have strict logical thinking ability. By studying geometry, we can cultivate people's logical thinking ability and abstract thinking ability.
4. Promote the development of other disciplines: The theories and methods of geometry also have an important influence on the development of other disciplines. For example, the development of calculus, algebra, topology and other disciplines can not be separated from the support of geometry.
5. Improve the quality of human life: The application of geometry in art, design, architecture and other fields not only improves the quality of human life, but also enriches the spiritual world of human beings.
Generally speaking, the study of mathematical geometry is of great significance to promote the development of science and technology, improve the quality of human life and cultivate people's logical thinking ability.