Inversive geometry

Inversive geometry

In geometry, inversive geometry is the study of inversion, a transformation of the Euclidean plane that maps circles or lines to other circles or lines and that preserves the angles between crossing curves. Many difficult problems in geometry become much more tractable when an inversion is applied. Inversion seems to have been discovered by a number of people contemporaneously, including Steiner (1824), Quetelet (1825), Bellavitis (1836), Stubbs and Ingram (1842-3) and Kelvin (1845). The concept of inversion can be . (Wikipedia).

Inversive geometry
Video thumbnail

Graphing a system of two inequalities in slope intercept form

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

Video thumbnail

Graphing a system of two inequalities in slope intercept form

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

Video thumbnail

Invertible Transformations

Description: Corresponding to our algebraic notion of invertibility, we want a geometric notion. Invertible transformations are defined, and then proven to be equivalent (thank goodness!) to invertible matrices when linear. Learning Objectives: 1) Define an invertible transformation 2) D

From playlist Older Linear Algebra Videos

Video thumbnail

Graphing the system of two linear inequalities with two horizontal line

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

Video thumbnail

Abstract Algebra | Injective Functions

We give the definition of an injective function, an outline of proving that a given function is injective, and a few examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/

From playlist Abstract Algebra

Video thumbnail

How to graph the system of linear inequalities of one horizontal and one vertical

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

Video thumbnail

How to graph a system of linear inequalities in slope intercept form

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

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

How to graph the system of linear inequalities using slope intercept form

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of inequalities by Graphing | Standard Form

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

Learn how to graph a system of linear inequalities of two vertical boundary lines

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of Inequalities by Graphing

Video thumbnail

Vertex gluings and Demazure products by Nathan Pflueger

PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t

From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)

Video thumbnail

Geometry of the symmetric space SL(n,R)/SO(n,R)(Lecture – 01) by Pranab Sardar

Geometry, Groups and Dynamics (GGD) - 2017 DATE: 06 November 2017 to 24 November 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru The program focuses on geometry, dynamical systems and group actions. Topics are chosen to cover the modern aspects of these areas in which research has b

From playlist Geometry, Groups and Dynamics (GGD) - 2017

Video thumbnail

Can you Actually Stretch Space? Part I (How do you Describe Space?)

Before we can talk about how to Stretch Space we first must be able to Describe Space!

From playlist Summer of Math Exposition Youtube Videos

Video thumbnail

Seminar on Applied Geometry and Algebra (SIAM SAGA): Bernd Sturmfels

Date: Tuesday, February 9 at 11:00am EST (5:00pm CET) Speaker: Bernd Sturmfels, MPI MiS Leipzig / UC Berkeley Title: Linear Spaces of Symmetric Matrices. Abstract: Real symmetric matrices appear ubiquitously across the mathematical sciences, and so do linear spaces of such matrices. We

From playlist Seminar on Applied Geometry and Algebra (SIAM SAGA)

Video thumbnail

Equations of parallel and perpendicular lines | Analytic geometry | Geometry | Khan Academy

Equations of Parallel and Perpendicular Lines Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/geometry/analytic-geometry-topic/parallel-and-perpendicular/e/line_relationships?utm_source=YT&utm_medium=Desc&utm_campaign=Geometry Watch the next

From playlist Analytic geometry | Geometry | Khan Academy

Video thumbnail

AlgTop4: More on the sphere

This lecture continues our discussion of the sphere, relating inversive geometry on the plane to the more fundamental inversive geometry of the sphere, introducing the Riemann sphere model of the complex plane with a point at infinity. Then we discuss the sphere as the projective line ove

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

Video thumbnail

Herwig Hauser : Commutative algebra for Artin approximation - Part 2

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Jean-Morlet Chair - Hauser/Rond

Video thumbnail

Unit II: Lec 4 | MIT Calculus Revisited: Single Variable Calculus

Unit II: Lecture 4: Differentiation of Inverse Functions Instructor: Herb Gross View the complete course: http://ocw.mit.edu/RES18-006F10 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT Calculus Revisited: Single Variable Calculus

Video thumbnail

Learn how to graph and shade a system of linear inequalities in two different ways

👉 Learn how to graph a system of inequalities. A system of inequalities is a set of inequalities which are collectively satisfied by a certain range of values for the variables. To graph a system of inequalities, each inequality making up the system is graphed individually with the side of

From playlist Solve a System of inequalities by Graphing | Standard Form

Related pages

Transformation geometry | Dilation (metric space) | Duality (projective geometry) | Perpendicular | Congruence (geometry) | Translation (geometry) | Cardioid | Jacobian matrix and determinant | Fixed point (mathematics) | Circle of antisimilitude | Erlangen program | Conformal map | Ludwig Immanuel Magnus | Group (mathematics) | Edward Kasner | Riemann sphere | Arthur Cayley | Line (geometry) | Medial triangle | Euler line | Hyperplane | Point at infinity | Eugenio Beltrami | Hyperbolic geometry | Generating set of a group | Peaucellier–Lipkin linkage | 6-sphere coordinates | Incidence structure | Mathematical structure | Incidence geometry | Pole and polar | Soddy's hexlet | Inversive distance | Rotation | Inverse curve | Lemniscate of Bernoulli | Dupin cyclide | Conformal geometry | Felix Klein | Möbius plane | Euclidean plane | Stereographic projection | Involution (mathematics) | N-sphere | Liouville's theorem (conformal mappings) | Jakob Steiner | Similarity (geometry) | Limiting point (geometry) | Möbius transformation | Complex conjugate | Orthogonal matrix | Analytic function | Complex number | Homography | Mario Pieri | Affine plane (incidence geometry) | Contraction mapping | Natural logarithm | Projective geometry | Flat (geometry) | Geometry | Giusto Bellavitis | Plane (geometry) | Circle | Cross-ratio | Multiplicative inverse | Space (mathematics)