分析几何（Analytic Geometry）是数学的一个分支，主要研究对象是曲线和曲面。它使用代数方法来描述和研究几何形状，如点、线、圆、椭圆等。分析几何基于坐标系，因此它也涉及到坐标和坐标轴的几何意义。
以下是一篇英文范文，介绍了分析几何在计算机图形学中的应用：
Title: Application of Analytic Geometry in Computer Graphics
Analytic geometry, a mathematical discipline that studies curves and surfaces through the lens of algebra, has found numerous applications in the field of computer graphics. From the creation of digital maps to the simulation of complex environments, analytic geometry plays a crucial role.
One of the key areas where analytic geometry shines in computer graphics is in the field of computer-aided design and manufacturing (CAD/CAM). In this context, it provides a vital tool for designing three-dimensional (3D) objects and models. By using analytical techniques, designers can accurately represent complex shapes and geometries, ensuring that the final product meets all requirements.
Another area where analytic geometry plays a prominent role is in the field of computer vision. Here, it provides a framework for analyzing images and recognizing patterns and objects in them. Analytic geometry-based techniques allow for the development of algorithms that can process images quickly and accurately, enabling machines to perform tasks such as object detection and recognition.
Moreover, analytic geometry plays a fundamental role in the field of virtual reality (VR). It provides a framework for accurately representing and manipulating three-dimensional spaces, allowing for the creation of immersive environments that replicate real-world scenes. This has led to the development of VR technologies that are becoming increasingly popular in gaming, education, and other industries.
In summary, analytic geometry has found numerous applications in the field of computer graphics, providing a vital tool for designing, processing, and manipulating three-dimensional shapes and geometries.
分析几何（Analytic Geometry）是一种数学分支，主要研究在代数方法中表示的几何形状，以及这些形状之间的关系。它涉及到使用代数方法来研究几何形状的性质和关系，包括直线、圆、椭圆等。
在英文范文里，分析几何可能会被描述为一种数学工具或方法，用于解决与几何形状和关系相关的问题。它也可以被用于计算机图形学、机器人学、控制理论等领域。
请注意，以上回答基于一般性的描述，对于特定上下文或详细信息，还需要进一步的具体信息。
分析几何（analytic geometry）是一种用代数方法研究几何图形的方法。
在英文中，分析几何（analytic geometry）的英文表达为“analytic geometry”。在最新的变化中，这种表达并没有发生太大的变化，仍然被广泛使用。
以上内容仅供参考，如需了解更多的关于analytic geometry的英文表达及相关知识，请查阅专业书籍或者咨询专业人士。