- 内在几何学 nèizàijǐhéxué intrinsic geometrythe study of the geometric properties of a surface or space that do not depend on how it is positioned within a higher-dimensional space
- 分形几何学 fēnxíngjǐhéxué fractal geometrythe branch of mathematics that studies fractals
- 射影几何学 shèyǐngjǐhéxué projective geometrythe branch of mathematics that studies the properties of geometric figures that are invariant under projection
- 微分几何学 wēifēnjǐhéxué differential geometryThe branch of mathematics that uses techniques from calculus to study geometry
- 投影几何学 tóuyǐngjǐhéxué projective geometrythe branch of geometry dealing with properties that remain unchanged under projection
- 欧几里得几何学 ōujǐlǐdéjǐhéxué Euclidean geometrythe branch of mathematics and mathematical system attributed to the ancient Greek mathematician Euclid
- 欧式几何学 ōushìjǐhéxué Euclidean geometrythe branch of mathematics based on the work of the Greek mathematician Euclid
- 欧氏几何学 ōushìjǐhéxué Euclidean geometryA branch of mathematics based on the definitions and axioms of the ancient Greek mathematician [[欧几里得|歐幾里得|ou1 ji3 li3 de2]].
- 球面几何学 qiúmiànjǐhéxué spherical geometryspherical geometry; the study of geometric figures on the surface of a sphere
- 解析几何学 jiěxījǐhéxué analytic geometryanalytic geometry; coordinate geometry
- 非欧几何学 fēi'ōujǐhéxué non-Euclidean geometry
- 代数几何学 dàishùjǐhéxué algebraic geometryThe branch of mathematics that combines abstract algebra with geometry to study the sets defined by algebraic equations.
- 黎曼几何学 límànjǐhéxué Riemannian geometrythe branch of mathematics that studies curved spaces developed by Bernhard Riemann