Euclidean plane

What's a plane? Geometry Terms and Definitions

Points, lines and planes are some of the fundamental objects in Euclidean geometry. Learn about the plane and its essential properties. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦

From playlist Socratica: The Geometry Glossary Series

Coordinate plane

A brief overview of the Cartesian plane

From playlist Geometry: Cartesian Plane

Geometry: Introduction to the Polygon (quadrilateral, pentagon, hexagon and more)

Learn the definition of polygon - a very important shape in geometry. When a polygon has a small number of sides, there is a word you use instead of "polygon". We teach you the names of polygons with 3 to 10 sides. To learn more Geometry, you can watch our playlist from the beginning:

From playlist Euclidean Geometry

Introduction to Projective Geometry (Part 1)

The first video in a series on projective geometry. We discuss the motivation for studying projective planes, and list the axioms of affine planes.

From playlist Introduction to Projective Geometry

13C Norm and Distance in Euclidean n Space

Norm and distance in Euclidean n-Space.

From playlist Linear Algebra

13F Example Problems for Euclidean n Space

Some example problems in Euclidean n-Space.

From playlist Linear Algebra

The circle and projective homogeneous coordinates (cont.) | Universal Hyperbolic Geometry 7b

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

The circle and projective homogeneous coordinates | Universal Hyperbolic Geometry 7a | NJ Wildberger

Universal hyperbolic geometry is based on projective geometry. This video introduces this important subject, which these days is sadly absent from most undergrad/college curriculums. We adopt the 19th century view of a projective space as the space of one-dimensional subspaces of an affine

From playlist Universal Hyperbolic Geometry

13B Vectors in n Space

Euclidean n Space. Norm and distance in n space.

From playlist Linear Algebra

Fifth Axiom (extra footage) - Numberphile

Some extra footage not used in our Fifth Axiom video with Dr Caleb Ashley. Main video: https://youtu.be/PnW5IRvgvLY http://bit.ly/HyperbolicGeometry NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://t

From playlist Hyperbolic Geometry on Numberphile

What is a Manifold? Lesson 6: Topological Manifolds

Topological manifolds! Finally! I had two false starts with this lesson, but now it is fine, I think.

From playlist What is a Manifold?

Anna Wienhard - 1/2 Hyperbolic Structures on Surface

From playlist Summer School 2019: Aspects of Geometric Group Theory

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

S.A.Robertson, How to see objects in four dimensions, LMS 1993

Based on the 1993 London Mathematical Society Popular Lectures, this special 'television lecture' is entitled "How to see objects in four dimensions" by Professor S.A.Robertson. The London Mathematical Society is one of the oldest mathematical societies, founded in 1865. Despite it's name

From playlist Mathematics

Commutative algebra 9 (Euclidean domains)

This lecture is part of an online course on commutative algebra, following the book "Commutative algebra with a view toward algebraic geometry" by David Eisenbud. We describe one method of visualizing rings by drawing pictures of their points, and use this to show that the ring of Gaussia

From playlist Commutative algebra

PGA Ep 3 : Revenge of Infinity

Episode 3 of 6 of the SIBGRAPI2021 tutorial on Projective Geometric Algebra All the details in the writeup at https://bivector.net/PGADYN.html All demos and implementation details at https://enki.ws/ganja.js/examples/pga_dyn.html

From playlist PGA Tutorial SIBGRAPI2021

The Seven Circles Theorem

This video is based on a paper by Drach and Schwartz. Drach, K., Schwartz, R.E. A Hyperbolic View of the Seven Circles Theorem. Math Intelligencer 42, 61–65 (2020). https://doi.org/10.1007/s00283-019-09952-1 You can read a preprint of the paper here: https://arxiv.org/pdf/1911.00161.pdf

From playlist Summer of Math Exposition 2 videos

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)

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

What is a segment

👉 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