Spherical geometry

Spherical cap

In geometry, a spherical cap or spherical dome is a portion of a sphere or of a ball cut off by a plane. It is also a spherical segment of one base, i.e., bounded by a single plane. If the plane passes through the center of the sphere (forming a great circle), so that the height of the cap is equal to the radius of the sphere, the spherical cap is called a hemisphere. (Wikipedia).

Spherical cap
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Cylindrical Surfaces

This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/

From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates

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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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Spherical juggling video

I made this spherical video using a Ricoh Theta S. You can view the video properly on Chrome, Firefox, and the YouTube app on your phone/tablet device.

From playlist Spherical video

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Find the volume of a sphere given the circumference

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Learn how to determine the volume of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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What is the difference between convex and concave

👉 Learn about polygons and how to classify them. A polygon is a plane shape bounded by a finite chain of straight lines. A polygon can be concave or convex and it can also be regular or irregular. A concave polygon is a polygon in which at least one of its interior angles is greater than 1

From playlist Classify Polygons

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Spherical Coordinates - Denis Potapov

This video shows some basic facts about the classical spherical coordinates in vector calculus.

From playlist Dr Denis Potapov's videos

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Dmitriy Bilyk: On the interplay between uniform distribution,discrepancy, and energy

VIRTUAL LECTURE Recording during the meeting "Discrepancy Theory and Applications". 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 keywo

From playlist Analysis and its Applications

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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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Finding the volume and the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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Fabio Cavalletti: Isoperimetric inequality under curvature dimension condition

We will review the one-dimensional localization method in the general framework of metric measure spaces and the recent proof of the isoperimetric inequality for essentially non-branching m.m.s. verifying the curvature dimension condition. We will also address rigidity and stability questi

From playlist HIM Lectures: Follow-up Workshop to JTP "Optimal Transportation"

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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

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Vlad Yaskin: A solution to the 5th and 8th Busemann-Petty problems near the Euclidean ball

We show that the 5th and the 8th Busemann-Petty problems have positive solutions for bodies that are sufficiently close to the Euclidean ball in the Banach-Mazur distance. Joint work with M. Angeles Alfonseca, Fedor Nazarov, and Dmitry Ryabogin.

From playlist Workshop: High dimensional measures: geometric and probabilistic aspects

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The Emergence of Kinetic Energy #SoME2

**There is an error in the Energy & wavelengths chapter. The formulas of Lambda_1 and Lambda_2 should be: Lambda_1 = Lambda_rest * ( ( c + v) / c ) Lambda_2 = Lambda_rest * ( ( c - v) / c ) Sorry for the error.** This is an attempt to explain the properties of kinetic energy through oth

From playlist Summer of Math Exposition 2 videos

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Cody Finds and Eats Wild Shaggy Ink Cap Mushrooms

Help me make videos by donating here: https://www.patreon.com/CodysLab Follow me on Facebook: https://www.facebook.com/codydonreeder SubReddit: https://www.reddit.com/r/codyslab/ Twitter: https://twitter.com/CodysLab

From playlist Mushrooms With Cody

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Use a Triple Integral to Find the Volume of a Spherical Cap

This video explains how to use a triple integral to determine the volume of a spherical cap. http://mathispower4u.com

From playlist Triple Integrals

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Frank Morgan: Isoperimetry with density

Abstract : In 2015 Chambers proved the Log-convex Density Conjecture, which says that for a radial density f on Rn, spheres about the origin are isoperimetric if and only if log f is convex (the stability condition). We discuss recent progress and open questions for other densities, unequa

From playlist Control Theory and Optimization

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How do you find the surface area of a sphere

👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo

From playlist Volume and Surface Area

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The importance of Being in Shape - Lecture 1 by Ramanujam Srinivasan

ORGANIZERS : Vidyanand Nanjundiah and Olivier Rivoire DATE & TIME : 16 April 2018 to 26 April 2018 VENUE : Ramanujan Lecture Hall, ICTS Bangalore This program is aimed at Master's- and PhD-level students who wish to be exposed to interesting problems in biology that lie at the biology-

From playlist Living Matter 2018

Related pages

Solid of revolution | Spheroid | Ellipsoid | Volume | Latitude | Spherical segment | Solid angle | Circular symmetry | Hypergeometric function | Surface of revolution | Spherical wedge | Pythagorean theorem | Pyramid (geometry) | Tetrahedron | Great circle | Spherical sector | Ball (mathematics) | Gamma function | Spherical coordinate system | Union (set theory) | Sphere | Radius | Area | Geometry | Circular segment | Disk (mathematics)