Euclidean solid geometry

Octant (solid geometry)

An octant in solid geometry is one of the eight divisions of a Euclidean three-dimensional coordinate system defined by the signs of the coordinates. It is similar to the two-dimensional quadrant and the one-dimensional ray. The generalization of an octant is called orthant. (Wikipedia).

Octant (solid geometry)
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How to construct an Octahedron

How the greeks constructed the 2nd platonic solid: the regular octahedron Source: Euclids Elements Book 13, Proposition 14. In geometry, an octahedron is a polyhedron with eight faces, twelve edges, and six vertices. The term is most commonly used to refer to the regular octahedron, a Plat

From playlist Platonic Solids

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What's an Octagon? Geometry Terms and Definitions

An introduction to the octagon, a fundamental geometric shape. Geometer: Louise McCartney Artwork: Kelly Vivanco Director: Michael Harrison Written & Produced by Kimberly Hatch Harrison and Michael Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patre

From playlist Socratica: The Geometry Glossary Series

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Chemistry - Molecular Structure (10.5 of 45) Basic Shapes-Octahedral with Free Electron Pairs

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the octahedral with free electron pair(s).

From playlist CHEMISTRY 14 MOLECULAR STRUCTURE

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What Are Allotropes of Metalloids and Metals | Properties of Matter | Chemistry | FuseSchool

What Are Allotropes of Metalloids and Metals Learn the basics about allotropes of metalloids and metals, as a part of the overall properties of matter topic. An allotrope is basically a different form of the same element, each with distinct physical and chemical properties. For example

From playlist CHEMISTRY

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Chemistry - Molecular Structure (10 of 45) Basic Shapes-Octahedral with Free Electron Pairs

This video has an uploading audio error...the audio error-free video lives at: https://www.youtube.com/watch?v=IAULFewncc8 In this video I will explain the octahedral with free electron pair(s).

From playlist CHEMISTRY 14 MOLECULAR STRUCTURE

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Chemistry - Liquids and Solids (28 of 59) Crystal Structure: Density of the Unit Cell: Face Centered

Visit http://ilectureonline.com for more math and science lectures! In this video I will calculate the % volume of the molecules in a face centered cubic.

From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS

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Molecular dynamics with pentagonal symmetry, a representation with atomic bonds

Like the simulation https://youtu.be/absx0JHkUn8 this video shows the motion of particles coupled to a thermostat, and interacting with an anisotropic Lennard-Jones type potential with pentagonal symmetry. Here the lattice is visualized by drawing line segments between particles that are c

From playlist Molecular dynamics

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Chemistry - Liquids and Solids (25 of 59) Crystal Structure: The Unit Cell: Simple Cube

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain how atoms are arranged in a simple crystal structure.

From playlist CHEMISTRY 16 LIQUIDS AND SOLIDS

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The History of Mathematics in 300 Stamps

Oxford Mathematics Public Lectures: Robin Wilson - The History of Mathematics in 300 Stamps The entire history of mathematics in one hour, as illustrated by around 300 postage stamps featuring mathematics and mathematicians from across the world. From Euclid to Euler, from Pythagoras to

From playlist Oxford Mathematics Public Lectures

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Evaluate a Triple Integral Using Spherical Coordinates - Triple Integral of 1/(x^2+y^2+z^2)

This video explains how to set up a triple integral using spherical coordinates and then evaluate the triple integral. http://mathispower4u.com

From playlist Triple Integrals in Cylindrical and Spherical Coordinates / Change of Variables (Jacobian)

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Application of Triple Integrals: Mass

This video shows how to determine the mass of a solid with variable density. http://mathispower4u.wordpress.com/

From playlist Triple Integrals

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Triple integral tutorial

A tutorial on the basics of triple integrals, how to set them up and how to evaluate them. Plenty of examples are discussed to illustrate the ideas.

From playlist Several Variable Calculus / Vector Calculus

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Triple Integrals and Volume - Part 2

This video explains how to use triple integrals to determine volume using rectangular coordinates. http://mathispower4u.wordpress.com/

From playlist Triple Integrals

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Canonical structures inside Platonic solids II | Universal Hyperbolic Geometry 50 | NJ Wildberger

The cube and the octahedron are dual solids. Each has contained within it both 2-fold, 3-fold and 4-fold symmetry. In this video we look at how these symmetries are generated in the cube via canonical structures. Along the way we discuss bipartite graphs. This gives us more insight into t

From playlist Universal Hyperbolic Geometry

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Introduction to Double Integrals in Polar Coordinates

This video introduces double integrals in polar form and provides two examples of converting a double integral given in rectangular form to polar form. http://mathispower4u.wordpress.com/

From playlist Double Integrals in Polar Coordinates

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Changing the Order of Triple Integrals

This video shows how to set up a triple integral using 3 different orders of integration. http://mathispower4u.wordpress.com/

From playlist Triple Integrals

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Intersection of 3 cylinders volume

In this video, I calculate the volume of the Steinmetz 3-solid obtained by intersecting three cylinders, using a symmetry argument and cylindrical coordinates. It’s actually not as bad as you think! Note: The thumbnail was taken from https://commons.m.wikimedia.org/wiki/File:Steinmetz-ccc

From playlist Double and Triple Integrals

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Geometry - Basic Terminology (11 of 34) Definition of Polygons and Convex Polygons

Visit http://ilectureonline.com for more math and science lectures! In this video I will define what are polygons and convex polygons. Next video in the Basic Terminology series can be seen at: http://youtu.be/N3wvmbsaFwQ

From playlist GEOMETRY 1 - BASIC TERMINOLOGY

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Average value of the triple integral (KristaKingMath)

► My Multiple Integrals course: https://www.kristakingmath.com/multiple-integrals-course Learn how to find the average value of a function that lies above a solid. In this problem, the solid is a cube with side length L that lies in the first octant with one vertex at the origin and three

From playlist Calculus III

Related pages

Balanced ternary | Gray code | Octree | Euclidean geometry | Line (geometry) | Quadrant (plane geometry) | Cartesian coordinate system | Solid geometry | Orthant | Roman numerals | Right-hand rule