Oval (projective plane)

Elliptic curves: point at infinity in the projective plane

This video depicts point addition and doubling on elliptic curve in simple Weierstrass form in the projective plane depicted using stereographic projection where the point at infinity can actually be seen. Explanation is in the accompanying article https://trustica.cz/2018/04/05/elliptic-

From playlist Elliptic Curves - Number Theory and Applications

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

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

algebraic geometry 15 Projective space

This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It introduces projective space and describes the synthetic and analytic approaches to projective geometry

From playlist Algebraic geometry I: Varieties

Projective view of conics and quadrics | Differential Geometry 9 | NJ Wildberger

In this video we introduce projective geometry into the study of conics and quadrics. Our point of view follows Mobius and Plucker: the projective plane is considered as the space of one-dimensional subspaces of a three dimensional vector space, or in other words lines through the origin.

From playlist Differential Geometry

Introduction to Projective Geometry (Part 2)

The second video in a series about projective geometry. We list the axioms for projective planes, give an examle of a projective plane with finitely many points, and define the real projective plane.

From playlist Introduction to Projective Geometry

Projective Coordinates for Points and Lines | Algebraic Calculus One | Wild Egg and Anna Tomskova

Dr Anna Tomskova explains a more modern framework for projective geometry where the extra coordinate often associated with infinity is the first coordinate in a projective vector. This gives us a uniform way to associate to affine points and lines projective points and lines, with the adva

From playlist Algebraic Calculus One

Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - Barnabé Croizat - 17/11/17

En partenariat avec le séminaire d’histoire des mathématiques de l’IHP Ovales, cyclides et surfaces orthogonales : les premières amours géométriques de Darboux Barnabé Croizat, Laboratoire Paul Painlevé, Université Lille 1 & CNRS À l’occasion du centenaire de la mort de Gaston Darboux, l

From playlist Colloque d'histoire des sciences "Gaston Darboux (1842 - 1917)" - 17/11/2017

Topologies of nodal sets of random band limited functions - Peter Sarnak

Peter Sarnak Institute for Advanced Study; Faculty, School of Mathematics March 3, 2014 We discuss various Gaussian ensembles for real homogeneous polynomials in several variables and the question of the distribution of the topologies of the connected components of the zero sets of a typic

From playlist Mathematics

Isabel Vogt - An enriched count of the bitangents to a smooth plane quartic curve - AGONIZE

Recent work of Kass–Wickelgren gives an enriched count of the 27 lines on a smooth cubic surface over arbitrary fields, generalizing Segre’s signed count count of elliptic and hyperbolic lines. Their approach using 𝔸1-enumerative geometry suggests that other classical enumerative problems

From playlist Arithmetic Geometry is ONline In Zoom, Everyone (AGONIZE)

Projections of the curve onto the coordinate axes (KristaKingMath)

► My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to sketch the projections of the curve. Projections are like shadows formed by the curve on the three coordinate axes. Given components of the vector equation, you can write parametric equations of the curve. Use

From playlist Calculus III

Alexander Veselov: Geodesic scattering on hyperboloids

HYBRID EVENT Recorded during the meeting "Differential Geometry, Billiards, and Geometric Optics" the October 04, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathemat

From playlist Dynamical Systems and Ordinary Differential Equations

Quadratisch Praktisch Gut - Zur Quadratischen Gleichung | Bernd Sturmfels

Mathematische Weihnachtsvorlesung 2020 gehalten von Prof. Dr. Bernd Sturmfels Direktor am Max-Planck-Institut für Mathematik in den Naturwissenschaften und Leiter der Nonlinear Algebra Arbeitsgruppe. Für Schüler:innen ab Klassenstufe 10

From playlist Schulvorträge

Randomness in Number Theory - Peter Sarnak

Peter Sarnak Professor, School of Mathematics February 2, 2011 For more videos, visit http://video.ias.edu

From playlist Mathematics

Adam Savage Learns About Smithsonian Exhibits' Installation Process!

Door size, load-in route, sloping floors or walls ... These are all reasons why Smithsonian Exhibits works on installation before they even START a build. Adam Savage gets the full rundown of the complicated exhibit install process from head of production Chris Emo. More about Smithsonian

From playlist Smithsonian Exhibits

SIMPLE FORM PERSPECTIVE: Illustration #5 Two Point Simple Form

Marc demonstrates taking the simple two point rectangular solids from illustration #4 and drawing complex forms from them (on top of and around them).

From playlist SIMPLE FORM PERSPECTIVE

MATH331: Riemann Surfaces - part 1

We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.

From playlist The Riemann Sphere

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

Bitangents to plane quartics - tropical, real and arithmetic count by Hannah Markwig

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

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