Numerical geometry is the application of numerical methods to geometry problems. Other terms for numerical geometry include computational geometry, geometric modeling, and geometric algorithms. These synonyms make it clear that numerical geometry involves using computational techniques to solve geometric problems. Other related terms include geometric optimization and geometric analysis, both of which involve using numerical methods to derive optimal solutions and analyze geometric structures. Ultimately, the purpose of numerical geometry is to provide efficient algorithms for solving geometric problems, making it a valuable tool for fields such as computer graphics, robotics, and engineering.