geometry

基础几何

Fundamental concepts and principles of geometry.

几何学的基本概念和原理。

A mathematical system attributed to Euclid, concerning points, lines, planes, and solids.

三维几何学

The study of shapes and figures in 3D space.

研究三维空间中形状和图形的学科

坐标几何

Also known as analytic geometry; uses a coordinate system to study geometric shapes.

也称为解析几何；使用坐标系来研究几何形状。

立体几何

The geometry of three-dimensional Euclidean space.

关于三维欧几里得空间的几何学。

非欧几里得几何

Geometries that differ from Euclidean geometry, where the parallel postulate does not hold.

指与欧几里得几何不同的特定几何学领域。

代数几何

A branch of mathematics studying solutions to polynomial equations using abstract algebraic techniques.

一个使用抽象代数技术研究多项式方程解的数学分支。

微分几何

A mathematical discipline that uses the techniques of differential calculus and integral calculus to study problems in geometry.

一个使用微积分技术来研究几何问题的数学学科。

The branch of mathematics that studies the properties of fractals.

内蕴几何

The intrinsic properties of a surface or manifold, independent of its embedding in space.

曲面或流形的内在属性，与其在空间中的嵌入方式无关。

局部几何

The geometric properties of a space in the neighborhood of a point.

一个空间在某一点邻域的几何性质。

神圣几何

Ascribes symbolic and sacred meanings to certain geometric shapes and proportions.

将象征性和神圣的意义赋予某些几何形状和比例。