Spherical geometry

Fundamental plane (spherical coordinates)

The fundamental plane in a spherical coordinate system is a plane of reference that divides the sphere into two hemispheres. The geocentric latitude of a point is then the angle between the fundamental plane and the line joining the point to the centre of the sphere. For a geographic coordinate system of the Earth, the fundamental plane is the Equator. Astronomical coordinate systems have varying fundamental planes: * The horizontal coordinate system uses the observer's horizon. * The Besselian coordinate system uses Earth's terminator (day/night boundary). This is a Cartesian coordinate system (x, y, z). * The equatorial coordinate system uses the celestial equator. * The ecliptic coordinate system uses the ecliptic. * The galactic coordinate system uses the Milky Way's galactic equator. (Wikipedia).

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Introduction to Spherical Coordinates

This video defines spherical coordinates and explains how to convert between spherical and rectangular coordinates. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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Classical spherical trigonometry | Universal Hyperbolic Geometry 36 | NJ Wildberger

This video presents a summary of classical spherical trigonometry. First we define spherical distance between two points on a sphere, then the angle between two lines on a sphere (i.e. great circles). After a quick reminder of the circular functions cos,sin and tan, we present the main la

From playlist Universal Hyperbolic Geometry

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Introduction to Cylindrical Coordinates

This video introduces cylindrical coordinates and shows how to convert between cylindrical coordinates and rectangular coordinates. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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Definition of spherical coordinates | Lecture 33 | Vector Calculus for Engineers

We define the relationship between Cartesian coordinates and spherical coordinates; the position vector in spherical coordinates; the volume element in spherical coordinates; the unit vectors; and how to differentiate the spherical coordinate unit vectors. Join me on Coursera: https://www

From playlist Vector Calculus for Engineers

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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

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Introduction to Cylindrical Coordinates

Introduction to Cylindrical Coordinates Definition of a cylindrical coordinate and all of the formulas used to convert from cylindrical to rectangular and from rectangular to cylindrical. Examples are also given.

From playlist Calculus 3

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Introduction to Spherical Coordinates

Introduction to Spherical Coordinates This is a full introduction to the spherical coordinate system. The definition is given and then the formulas for converting rectangular to spherical and spherical to rectangular. We also look at some of the key graphs in spherical coordinates. Final

From playlist Calculus 3

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Hartmut Prautzsch: Spherical Splines

Abstract: The Bézier representation of homogenous polynomials has little and not the usual geometric meaning if we consider the graph of these polynomials over the sphere. However the graph can be seen as a rational surface and has an ordinary rational Bézier representation. As I will show

From playlist Numerical Analysis and Scientific Computing

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Worldwide Calculus: Integration with Cylindrical and Spherical Coordinates

Lecture on 'Integration with Cylindrical and Spherical Coordinates' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Integrals

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Gravity: Newtonian, post-Newtonian, Relativistic (Lecture 2) by Clifford M Will

DATES Monday 25 Jul, 2016 - Friday 05 Aug, 2016 VENUE Madhava Lecture Hall, ICTS Bangalore APPLY Over the last three years ICTS has been organizing successful summer/winter schools on various topics of gravitational-wave (GW) physics and astronomy. Each school from this series aimed at foc

From playlist Summer School on Gravitational-Wave Astronomy

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Michael Farber: Topology of large random spaces

The lecture was held within the framework of the Hausdorff Trimester Program : Applied and Computational Algebraic Topology I will discuss various models producing large random spaces (simplicial complexes and closed manifolds). The main goal is to analyse properties which hold with proba

From playlist HIM Lectures: Special Program "Applied and Computational Algebraic Topology"

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Lec 19b - Phys 237: Gravitational Waves with Kip Thorne

Watch the rest of the lectures on http://www.cosmolearning.com/courses/overview-of-gravitational-wave-science-400/ Redistributed with permission. This video is taken from a 2002 Caltech on-line course on "Gravitational Waves", organized and designed by Kip S. Thorne, Mihai Bondarescu and

From playlist Caltech: Gravitational Waves with Kip Thorne - CosmoLearning.com Physics

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Hermitian and Non-Hermitian Laplacians and Wave Equaions by Andrey shafarevich

Non-Hermitian Physics - PHHQP XVIII DATE: 04 June 2018 to 13 June 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore Non-Hermitian Physics-"Pseudo-Hermitian Hamiltonians in Quantum Physics (PHHQP) XVIII" is the 18th meeting in the series that is being held over the years in Quantum Phys

From playlist Non-Hermitian Physics - PHHQP XVIII

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Spherical and elliptic geometries: an introduction | Universal Hyperbolic Geometry 33

We introduce PART II of this course on universal hyperbolic geometry: Bringin geometries together. This lecture introduces the very basic definitions of spherical geometry; lines as great circles, antipodal points, spherical triangles, circles, and some related notions on points, lines and

From playlist Universal Hyperbolic Geometry

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Physics - Advance E&M: Ch 1 Math Concepts (34 of 55) Spherical Coordinates

Visit http://ilectureonline.com for more math and science lectures! (BLOOPERS at 14:50) In this video I will explain and find x=? y=? and z=? r=? tan(theta)=? And tan(phi)=? in spherical coordinates. Next video in this series can be seen at: https://youtu.be/enNzrFDDkEk

From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM

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Lec 13 | MIT 2.71 Optics, Spring 2009

Lecture 13: 3D wave phenomena; introduction to electromagnetics Instructor: George Barbastathis, Colin Sheppard, Se Baek Oh View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http:/

From playlist MIT 2.71 Optics, Spring 2009

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PHYS 201 | Polarized Scattering 1 - Dipole Scattering: Direction and Wavelength

A look at the polar angle dependence and wavelength dependence of scattering from a small dielectric sphere. -----Polarization playlist - https://www.youtube.com/playlist?list=PL9_sR6Qqqcyl7a3yVcQ4lH5zEh68psVqj -----Use the channel, or take the courses at edX - https://www.edx.org/course

From playlist PHYS 201 | Polarization

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Coordinate plane

A brief overview of the Cartesian plane

From playlist Geometry: Cartesian Plane

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Physics 50. Math Methods. Lecture 13.1

UCI Physics 50: Math Methods (Spring 2014). Lec 13.1. Math Methods -- Derivatives and Integrals -- View the complete course: http://ocw.uci.edu/courses/physics_50_math_methods.html Instructor: Micahel Dennin, Ph.D. License: Creative Commons CC-BY-SA Terms of Use: http://ocw.uci.edu/info.

From playlist Physics 50: Math Methods

Related pages

Point (geometry) | Equator | Galactic coordinate system | Cartesian coordinate system | Spherical coordinate system | Sphere | Angle