- In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space.en.wikipedia.org/wiki/Plane_(mathematics)
In mathematics, a plane is a fundamental two-dimensional object. Intuitively, it looks like a flat infinite sheet of paper. There are several definitions of the plane. They are equivalent in the sense of Euclidean...
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In mathematics, a plane is a two-dimensional space or flat surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the … 展开
In addition to its familiar geometric structure, with isomorphisms that are isometries with respect to the usual inner product, the plane may be viewed at various other levels of abstraction. Each level of abstraction … 展开
The one-point compactification of the plane is homeomorphic to a sphere (see stereographic projection); the open disk is homeomorphic to a sphere with the "north pole" missing; adding that … 展开
Late 19th centuryFelix Klein and Bernhard Riemann develop non-Euclidean geometry and Riemannian geometry1844Arthur Cayley writes "On the definition of distance", initiating the study of elliptic geometry1905Albert Einstein publishes the theory of special relativity, which uses hyperbolic geometry to describe space-timeCC-BY-SA 许可证中的维基百科文本 Euclidean plane - Wikipedia
In mathematics, a Euclidean plane is a Euclidean space of dimension two, denoted or . It is a geometric space in which two real numbers are required to determine the position of each point. It is an affine space, which includes in particular the concept of parallel lines. It has also metrical properties induced by a distance, which allows to define circles, and angle measurement.
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Plane (mathematics) - Simple English Wikipedia, the free …
网页In mathematics, a plane is a fundamental two-dimensional object. Intuitively, it looks like a flat infinite sheet of paper. There are several definitions of the plane. They are equivalent …
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Two-dimensional space - Wikipedia
网页A two-dimensional space is a mathematical space with two dimensions, meaning points have two degrees of freedom: their locations can be locally described with two …
What is a Plane? - Math is Fun
网页A plane is a flat surface with no thickness that goes on forever. Learn what a plane is, how to draw on a plane, and how it differs from a plain and other shapes.
Plane Geometry - Math is Fun
网页Learn about flat shapes like lines, circles and triangles on a piece of paper. Explore topics such as polygons, angles, congruence, symmetry, transformations, tessellations, …
Plane -- from Wolfram MathWorld
网页2024年8月22日 · A plane is a two-dimensional doubly ruled surface spanned by two linearly independent vectors. Learn about the equation, form, distance, angle, and properties of planes in geometry and higher …
3D Coordinate Geometry - Equation of a Plane - Brilliant
网页A plane is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analog of a point (zero dimensions), a line (one dimension), and three-dimensional space. A plane in three-dimensional …
Plane - Encyclopedia of Mathematics
网页In the analytic geometry of $E^3$, a plane is a concept derived from the concepts of a "vector" and a "point" . By the plane passing through a point $A\in E^3$ and through …
Introduction to plane geometry - Math Open Reference
网页In plane geometry, all the shapes exist in a flat plane. A plane can be thought of an a flat sheet with no thickness, and which goes on for ever in both directions. It is absolutely flat and infinitely large, which makes it …
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