Technical drawing | Methods of representation | Elementary geometry

Cross section (geometry)

In geometry and science, a cross section is the non-empty intersection of a solid body in three-dimensional space with a plane, or the analog in higher-dimensional spaces. Cutting an object into slices creates many parallel cross-sections. The boundary of a cross-section in three-dimensional space that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line; for example, if a plane cuts through mountains of a raised-relief map parallel to the ground, the result is a contour line in two-dimensional space showing points on the surface of the mountains of equal elevation. In technical drawing a cross-section, being a projection of an object onto a plane that intersects it, is a common tool used to depict the internal arrangement of a 3-dimensional object in two dimensions. It is traditionally crosshatched with the style of crosshatching often indicating the types of materials being used. With computed axial tomography, computers can construct cross-sections from x-ray data. (Wikipedia).

Cross section (geometry)
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What Exactly IS a Cross Section pt. 1: Cross Sectional Area

Today I I break the world record of longest video explaining cross sectional areas. I spend a good deal of time deriving and giving geometric arguments for the equations most textbooks would simply define for the cross sectional area if one has a single target, or sheet of targets.

From playlist What is a cross section?

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What IS a Cross Section pt. 2: Differential Cross Sections in Particle Physics

Today I discuss how the interpretation of the cross section changes when we both turn on interactions and quantum mechanics. I discuss the importance of the differential cross section in particle physics with a couple examples, including how they can be used as evidence for the existence o

From playlist What is a cross section?

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Geometry – Intro to Transversals and Angle Pairs

Geometry Class Notes 1. Defining and Identifying Transversals 2. Defining and Identifying Angle Pairs a) Corresponding Angles b) Alternate Interior Angles c) Alternate Exterior Angles d) Consecutive Interior Angles a.k.a. Same Side Interior Angles

From playlist Geometry

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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

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Volumes as integrals of the areas of cross-sections, cont. -- Calculus II

This lecture is on Calculus II. It follows Part II of the book Calculus Illustrated by Peter Saveliev. The text of the book can be found at http://calculus123.com.

From playlist Calculus II

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What are the Angle Relationships for Parallel Lines and a Transversal

👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Parallel Lines and Transversals (Geometry Made Easy)

Parallel lines and transversal form many angles in geometry. These angles include vertical angles, alternate interior angles, same side interior angles and corresponding angles.

From playlist Geometry

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Physical Modeling Tutorial, Part 7: Building Components

There are several ways to create assembly components in Simscape Multibody. We'll show you how to create simple geometries, extruded and revolved solids, and compound bodies. The components of a suspension system are used as an example. - Enter the MATLAB and Simulink Racing Lounge: http:

From playlist Physical Modeling Tutorials

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Animate a Wind Farm with MATLAB (Part 1)

Get a Free Trial: https://goo.gl/C2Y9A5 Get Pricing Info: https://goo.gl/kDvGHt Ready to Buy: https://goo.gl/vsIeA5 Model a wind farm consisting of identical wind turbines. For more videos, visit https://bit.ly/41akXvm

From playlist Simulation Graphics and Reporting

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Helge Ruddat: Global smoothings of toroidal crossing varieties

HYBRID EVENT Recorded during the meeting "Faces of Singularity Theory " the November 23, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on CIRM's Audiovis

From playlist Mathematical Physics

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Mod-07 Lec-27 Intakes for Powerplant: Transport / Military Aircraft

Jet Aircraft Propulsion by Prof. Bhaskar Roy and Prof. A. M. Pradeep, Department of Aerospace Engineering, IIT Bombay. For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Bombay: Aerospace - Jet Aircraft Propulsion (CosmoLearning Aerospace Engineering)

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23. Solving the Neutron Diffusion Equation, and Criticality Relations

MIT 22.01 Introduction to Nuclear Engineering and Ionizing Radiation, Fall 2016 Instructor: Michael Short View the complete course: https://ocw.mit.edu/22-01F16 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61FVzAxBP09w2FMQgknTOqu The hideous neutron transport equatio

From playlist MIT 22.01 Introduction to Nuclear Engineering and Ionizing Radiation, Fall 2016

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What are parallel lines and a transversal

👉 Learn about converse theorems of parallel lines and a transversal. Two lines are said to be parallel when they have the same slope and are drawn straight to each other such that they cannot meet. In geometry, parallel lines are identified by two arrow heads or two small lines indicated i

From playlist Parallel Lines and a Transversal

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Cross Sections

An introduction to the Cross Sections augmented reality application. It is intended as an educational tool to assist anyone who wants to engage in cross sectional geometry concepts in an interactive way. Since the app is currently being reviewed before release on the Play Store, please a

From playlist Summer of Math Exposition Youtube Videos

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Peter Olver 02/23/18

Algebras of Differential Invariants

From playlist Spring 2018

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Non-Integrability in String Backgrounds by Pallab Basu

11 January 2017 to 13 January 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru String theory has come a long way, from its origin in 1970's as a possible model of strong interactions, to the present day where it sheds light not only on the original problem of strong interactions, but

From playlist String Theory: Past and Present

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Design of channels using uniform flow

Advanced Hydraulics by Dr. Suresh A Kartha,Department of Civil Engineering,IIT Guwahati.For more details on NPTEL visit http://nptel.iitm.ac.in

From playlist IIT Guwahati: Advanced Hydraulics | CosmoLearning.org Civil Engineering

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Angle Construction

A geometric construction for creating a congruent angle.

From playlist Geometry

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Hatching | Perpendicular | Ellipse | Planar projection | Probability density function | Intersection (set theory) | Ellipsoid | Technical drawing | Exploded-view drawing | Three-dimensional space | Contour line | Partial derivative | Disk (mathematics) | Parabola | Rectangle | Descriptive geometry | Line segment | Polyhedron | Polygon | Convex body | Normal distribution | Cavalieri's principle | Indifference curve | Geometry | Plane (geometry) | Quadric | Circle | Four-dimensional space | Tangent | Utility | Conditional probability distribution