In geometry, a spherical segment is the solid defined by cutting a sphere or a ball with a pair of parallel planes.It can be thought of as a spherical cap with the top truncated, and so it corresponds to a spherical frustum. The surface of the spherical segment (excluding the bases) is called spherical zone. If the radius of the sphere is called R, the radii of the spherical segment bases are r1 and r2, and the height of the segment (the distance from one parallel plane to the other) called h, then the volume of the spherical segment is The curved surface area of the spherical zoneโwhich excludes the top and bottom basesโis given by (Wikipedia).
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
What are four types of polygons
๐ 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
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
What are the names of different types of polygons based on the number of sides
๐ 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
Geometry - Basic Terminology (3 of 34) Definition of Line Segments
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of line segments. Next video in the Basic Terminology series can be seen at: http://youtu.be/O-2HNIXve6o
From playlist GEOMETRY 1 - BASIC TERMINOLOGY
Geometry - Ch. 1: Basic Concepts (10 of 49) Midpoint: Formula and Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and give examples of the midpoint and segment biscetor. The midpoint of a line segment is the point that divides the segment into 2 congruent line segments (equal halves). A segment bisector is
From playlist GEOMETRY CH 1 BASIC CONCEPTS
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 the difference between convex and concave
๐ 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
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
Triple integral in spherical coordinates to find volume (KristaKingMath)
โบ My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Learn how to use a triple integral in spherical coordinates to find the volume of an object, in this case, the ball with center at the origin and radius 5. โ โ โ GET EXTRA HELP โ โ โ If you could us
From playlist Calculus III
Constructing harmonic maps to two-dimensional buildings - Carlos Simpson
Carlos Simpson March 13, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
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
What is General Relativity? Lesson 38: Spherically Symmetric Metric
What is General Relativity? Lesson 38: Spherically Symmetric Metric We develop the form of the metric that will enforce spherical symmetry. Please consider supporting this channel via Patreon: https://www.patreon.com/XYLYXYLYX and discussing the material on the forums: https://www.pa
From playlist What is General Relativity?
Physics - Thermodynamics 1: Ch 24.1 Variable Heat Transfer (12 of 25) The Cosine Factor
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how to calculate the amount of radiation (from the Sun) received by an object )like the Earth or Moon). The cosine factor takes into account the various amount of radiation received at various
From playlist PHYSICS 24.1 VARIABLE HEAT TRANSFER
Bo'az Klartag - Size of line intersections in high dimensional L_p-balls and product measures
Recorded 07 February 2022. Bo'az Klartag of the Weizmann Institute of Science presents "Size of line intersections in high dimensional L_p-balls and product measures" at IPAM's Calculus of Variations in Probability and Geometry Workshop. Abstract: Suppose that K is an n-dimensional convex
From playlist Workshop: Calculus of Variations in Probability and Geometry
What is the definition of a regular polygon and how do you find the interior angles
๐ 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
Let's Cook Math Donuts in p5.js
In this video, we implement a Toroidal Coordinates System on p5.js, then play mess around with some variables and enjoy the visual results. Give me a tip: https://www.paypal.me/kazukiumeda the code: https://github.com/Creativeguru97/YouTube_tutorial/tree/master/Play_with_geometry/Toroida
From playlist Summer of Math Exposition Youtube Videos