Mathematical concepts | Euclidean plane geometry | Planar surfaces

Plane (geometry)

In mathematics, a plane is a Euclidean (flat), two-dimensional surface that extends indefinitely. A plane is the two-dimensional analogue of a point (zero dimensions), a line (one dimension) and three-dimensional space. Planes can arise as subspaces of some higher-dimensional space, as with one of a room's walls, infinitely extended, or they may enjoy an independent existence in their own right, as in the setting of two-dimensional Euclidean geometry. Sometimes the word plane is used more generally to describe a two-dimensional surface, for example the hyperbolic plane and elliptic plane. When working exclusively in two-dimensional Euclidean space, the definite article is used, so the plane refers to the whole space. Many fundamental tasks in mathematics, geometry, trigonometry, graph theory, and graphing are performed in a two-dimensional space, often in the plane. (Wikipedia).

Plane (geometry)
Video thumbnail

What is a plane

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

Geometry (1-1) First Terms

Geometry lecture on points, lines, and planes.

From playlist Geometry

Video thumbnail

What are opposite rays

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

What are opposite rays

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

What are opposite Rays

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

What is a point line and plane

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

what is a line

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

What is the definition of a ray

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

A brief history of Geometry III: The 19th century | Sociology and Pure Mathematics | N J Wildberger

The 19th century was a pivotal time in the development of modern geometry, actually a golden age for the subject, which then saw a precipitous decline in the 20th century. Why was that? To find out, let's first overview some of the main developments in geometry during the 1800's, includin

From playlist Sociology and Pure Mathematics

Video thumbnail

Perspectives in Math and Art by Supurna Sinha

KAAPI WITH KURIOSITY PERSPECTIVES IN MATH AND ART SPEAKER: Supurna Sinha (Raman Research Institute, Bengaluru) WHEN: 4:00 pm to 5:30 pm Sunday, 24 April 2022 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Abstract: The European renaissance saw the merging of mathematics and art in th

From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)

Video thumbnail

Specifying planes in three dimensions | Introduction to Euclidean geometry | Geometry | Khan Academy

Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/intro_euclid/e/points_lines_and_planes?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/geometric-preci

From playlist High School Geometry | High School Math | Khan Academy

Video thumbnail

An Intuitive Introduction to Projective Geometry Using Linear Algebra

This is an area of math that I've wanted to talk about for a long time, especially since I have found how projective geometry can be used to formulate Euclidean, spherical, and hyperbolic geometries, and a possible (and hopefully plausible) way projective geometry (specifically the model t

From playlist Summer of Math Exposition 2 videos

Video thumbnail

What is a point a line and a plane

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Video thumbnail

Hyperbolic geometry, Fuchsian groups and moduli spaces (Lecture 1) by Subhojoy Gupta

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME: 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This wi

From playlist Geometry and Topology for Lecturers

Video thumbnail

Tropical Geometry - Lecture 2 - Curve Counting | Bernd Sturmfels

Twelve lectures on Tropical Geometry by Bernd Sturmfels (Max Planck Institute for Mathematics in the Sciences | Leipzig, Germany) We recommend supplementing these lectures by reading the book "Introduction to Tropical Geometry" (Maclagan, Sturmfels - 2015 - American Mathematical Society)

From playlist Twelve Lectures on Tropical Geometry by Bernd Sturmfels

Video thumbnail

Hyperbolic Knot Theory (Lecture - 1) by Abhijit Champanerkar

PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl

From playlist Knots Through Web (Online)

Video thumbnail

AlgTop20: The geometry of surfaces

This lecture relates the two dimensional surfaces we have just classified with the three classical geometries- Euclidean, spherical and hyperbolic. Our approach to these geometries is non-standard (the usual formulations are in fact deeply flawed) and we concentrate on isometries, avoiding

From playlist Algebraic Topology: a beginner's course - N J Wildberger

Video thumbnail

algebraic geometry 16 Desargues's theorem

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers Desargues's theorem and duality of projective space.

From playlist Algebraic geometry I: Varieties

Video thumbnail

What is a ray

πŸ‘‰ Learn essential definitions of points, lines, and planes. A point defines a position in space. A line is a set of points. A line can be created by a minimum of two points. A plane is a flat surface made up of at least three points. A plane contains infinite number of lines. A ray is a li

From playlist Points Lines and Planes

Related pages

Scalar projection | Perpendicular | Euclidean geometry | If and only if | Plane of rotation | Complex analysis | Differential structure | Homotopy | Unit vector | Line–plane intersection | Face (geometry) | Continuous function | Cramer's rule | Conformal map | Differentiable function | Trigonometry | Isomorphism | Complex manifold | Parallel (geometry) | Dot product | Riemann sphere | Linear equation | Linear independence | Vector notation | Surface (mathematics) | Line (geometry) | Flatness (mathematics) | Dimension | Hyperplane | Three-dimensional space | Determinant | Hyperbolic geometry | Hypersurface | Empty set | Spherical geometry | Minkowski space | Complex plane | Graph theory | Projective line | Euclid's Elements | Low-dimensional topology | Point (geometry) | Polar coordinate system | Mathematics | Cartesian coordinate system | Diffeomorphism | Hesse normal form | Polygon | Sphere | Isometry | Abstraction (mathematics) | Euclidean space | Stereographic projection | Cartesian product | Euclid | Cross product | Category (mathematics) | Ruled surface | Bijection | Basis (linear algebra) | Collinearity | Four color theorem | Axiom | Manifold | Affine space | Curvature | Differential geometry | Graph of a function | Flat (geometry) | Projective plane | Geometry | Surface (topology) | Plane (geometry) | Disk (mathematics) | Dihedral angle