Orthogonal coordinate systems | Three-dimensional coordinate systems

Ellipsoidal coordinates

Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal coordinate system is based on confocal quadrics. (Wikipedia).

Video thumbnail

Special Topics - GPS (65 of 100) What is Reference Ellipsoid

Visit http://ilectureonline.com for more math and science lectures! http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn The Reference Ellipsoid is a mathematically derived surface that approximates the shape of the globe. It includes undulations of t

From playlist SPECIAL TOPICS 2 - GPS

Video thumbnail

Find the equation of an ellipse give foci and end points of major axis

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

How to write the equation of an ellipse given the center, vertex, and co vertex

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

Wolfgang Schief: A canonical discrete analogue of classical circular cross sections of ellipsoids

Abstract: Two classical but perhaps little known facts of "elementary" geometry are that an ellipsoid may be sliced into two one-parameter families of circles and that ellipsoids may be deformed into each other in such a manner that these circles are preserved. In fact, as an illustration

From playlist Integrable Systems 9th Workshop

Video thumbnail

How to determine the equation of an ellipse given the eccentricity and major axis

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

How to determine the equation of an ellipse given the eccentricity and major axis

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

Write the equation of an ellipse given the length of major and minor axis

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

Lecture 7 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd finishes his lecture on Analytic center cutting-plane method, and begins Ellipsoid methods. This course introduces topics such as subgradient, cutting

From playlist Lecture Collection | Convex Optimization

Video thumbnail

How to write the equation of an ellipse given the vertices and center

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

Infinite staircases of symplectic embeddings of ellipsoids into Hirzebruch surfaces - Morgan Weiler

IAS/PU-Montreal-Paris-Tel-Aviv Symplectic Geometry Topic: Infinite staircases of symplectic embeddings of ellipsoids into Hirzebruch surfaces Speaker: Morgan Weiler Affiliation: Rice University Date: June 4, 2020 For more video please visit http://video.ias.edu

From playlist Mathematics

Video thumbnail

Ellipsoids and The Bizarre Behaviour of Rotating Bodies

Derek's video: The Bizarre Behavior of Rotating Bodies, Explained https://www.youtube.com/watch?v=1VPfZ_XzisU Based on this amazing footage: Dancing T-handle in zero-g https://www.youtube.com/watch?v=1n-HMSCDYtM Terence Tao's original answer, with update. https://mathoverflow.net/questio

From playlist Matt and Hugh play with a thing and then do some working out

Video thumbnail

Mechanical Engineering: Centroids in 3-D (5 of 19) Semi-Ellipsoid

Visit http://ilectureonline.com for more math and science lectures! In this video I will find the centroids, or center of mass, of a circular semi-ellipsoid. Next video in this series can be seen at: https://youtu.be/uxHhR-x0zro

From playlist PHYSICS 14 CENTER OF MASS

Video thumbnail

Lecture 6 | Convex Optimization II (Stanford)

Lecture by Professor Stephen Boyd for Convex Optimization II (EE 364B) in the Stanford Electrical Engineering department. Professor Boyd lectures on the localization and cutting-plane methods and then moves into the Analytic center cutting-plane methods. This course introduces topics su

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Lecture 12 | Convex Optimization I (Stanford)

Professor Stephen Boyd, of the Stanford University Electrical Engineering department, lectures on geometric problems in the context of electrical engineering and convex optimization for the course, Convex Optimization I (EE 364A). Convex Optimization I concentrates on recognizing and so

From playlist Lecture Collection | Convex Optimization

Video thumbnail

Sphere Earth Conspiracy - Geodesy

Don't let anyone try to convince you that the earth is a sphere! It's actually closer to an ellipsoid. How does your airline pilot know which direction to head when he’s over the ocean with no landmarks? How do we know the exact boundaries between parcels of land and between states and cou

From playlist Civil Engineering

Video thumbnail

Conic section plotting the vertices and co-vertices to write the equation of the ellipse

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

27c3: Safety on the Open Sea (en)

Speaker: Bernhard Fischer Safe navigation with the aid of an open sea chart. In maritime shipping accurate positioning is vital to preserve damage to life, ship, and goods. Today, we might tend to think that this problem is sufficiently solved yet because of the existence of electronic p

From playlist 27C3: We come in peace

Video thumbnail

Learn to write the equation of the ellipse given the center and vertex and co vertex

Learn how to write the equation of an ellipse from its properties. The equation of an ellipse comprises of three major properties of the ellipse: the major radius (a), the minor radius (b) and the center (h, k). The ellipse is vertical if the major radius in vertical and the ellipse is hor

From playlist Write the Equation of an Ellipse (Axis Length) #Conics

Video thumbnail

MIT 3.60 | Lec 20a: Symmetry, Structure, Tensor Properties of Materials

Part 1: Representation Quadric View the complete course at: http://ocw.mit.edu/3-60F05 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

From playlist MIT 3.60 Symmetry, Structure & Tensor Properties of Material

Video thumbnail

How to find the center, vertices and foci of an ellipse

Learn how to graph horizontal ellipse centered at the origin. A horizontal ellipse is an ellipse which major axis is horizontal. To graph a horizontal ellipse, we first identify some of the properties of the ellipse including the major radius (a) and the minor radius (b) and the center. Th

From playlist How to Graph Horizontal Ellipse (At Origin) #Conics

Related pages

Orthogonal coordinates | Hyperboloid | Coordinate system | Focaloid | Quadratic function | Ellipsoid | Curvilinear coordinates