Mathematics is the study of quantity, structure, space, change, and related topics of pattern and form. Mathematicians seek out patterns whether found in numbers, space, natural science, computers, imaginary abstractions, or elsewhere.... , plane geometry may mean:
In mathematics, a plane is a curvature surface. Planes can arise as subspaces of some higher dimensional space, as with the walls of a room, or they may enjoy an independent existence in their own right, as in the setting of Euclidean geometry.... ,
geometry of the Euclidean plane,
or sometimes a plane is any flat surface that extends without end in all directions.
In mathematics, a projective plane has two possible definitions, one of them coming from linear algebra, and another coming from axiomatic geometry and finite geometry.... , most commonly the real projective plane
Real projective plane
In mathematics, the real projective plane is the space of lines in R3 passing through the origin. It is a non-Orientability two-dimensional manifold, that is, a surface, that has basic applications to geometry, but which cannot be embedding in our usual three-dimensional space without intersecting itself.... but possibly the complex projective plane
Complex projective plane
In mathematics, the complex projective plane, usually denoted CP2, is the two-dimensional complex projective space. It is a complex manifold described by three complex coordinates... , Fano plane
Fano plane
In finite geometry, the Fano plane is the projective plane with the least number of points and lines: 7 each.... or others;
In mathematics, the term hyperbolic plane may refer to:* A two-dimensional quadratic space with a non-singular isotropic quadratic form* A plane in hyperbolic geometry... or two-dimensional spherical geometry
Spherical geometry
Spherical geometry is the geometry of the two-dimensional surface of a sphere. It is an example of a non-Euclidean geometry. Two practical applications of the principles of spherical geometry are navigation and astronomy.... .
In mathematics, a plane curve is a curve in a Plane . The most frequently studied cases are smooth plane curves , and Algebraic curve#Plane algebraic curves.... .
