A projection plane, or plane of projection, is a type of view in which graphical projections from an object intersect. Projection planes are used often in descriptive geometry and graphical representation. A picture plane in perspective drawing is a type of projection plane. With perspective drawing, the lines of sight, or projection lines, between an object and a picture plane return to a vanishing point and are not parallel. With parallel projection the lines of sight from the object to the projection plane are parallel. * Perspective projection of triangle ABC on plane Π from point S. * Axonometric projection on projection plane Π * A cube in two-point perspective * Simulated rays of light travel from the object, through the projection plane, and to the viewer's eye or camera. This is the basis for graphical perspective. * Various graphical projections and how they are produced (Wikipedia).
This shows a 3d print of a mathematical sculpture I produced using shapeways.com. This model is available at http://shpws.me/q41V.
From playlist 3D printing
Ex: Find the Distance Between Two Parallel Planes
This video explains how to use vector projection to find the distance between two planes. Site: http://mathispower4u.com
From playlist Equations of Planes and Lines in Space
An animation I put together of a helicopter flying through a mountain range. I did not create the mountain background animation.
From playlist Motion Design Portfolio
Normal Vector to a Plane: Dynamic Illustration
Link: https://www.geogebra.org/m/bRKxY9Zu
From playlist 3D: Dynamic Interactives!
Hyperbola 3D Animation | Objective conic hyperbola | Digital Learning
Hyperbola 3D Animation In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other an
From playlist Maths Topics
This video explains how to determine the projection of one vector onto another vector. http://mathispower4u.yolasite.com/
From playlist Vectors
Projection of One Vector onto Another Vector
Link: https://www.geogebra.org/m/wjG2RjjZ
From playlist Trigonometry: Dynamic Interactives!
Reflection About a Plane: Dynamic & Modifiable Illustration
Link: https://www.geogebra.org/m/HUASZtnZ
From playlist 3D: Dynamic Interactives!
Projections (video 4): N-dimensional projections
Recordings of the corresponding course on Coursera. If you are interested in exercises and/or a certificate, have a look here: https://www.coursera.org/learn/pca-machine-learning
From playlist Projections
Projections of the curve onto the coordinate axes (KristaKingMath)
► My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to sketch the projections of the curve. Projections are like shadows formed by the curve on the three coordinate axes. Given components of the vector equation, you can write parametric equations of the curve. Use
From playlist Calculus III
Calculus 15.6 Triple Integrals
My notes are available at http://asherbroberts.com/ (so you can write along with me). Calculus: Early Transcendentals 8th Edition by James Stewart
From playlist Calculus
Worldwide Calculus: Integration in R³
Lecture on 'Integration in R³' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.
From playlist Multivariable Integrals
Perspectives in Math and Art by Supurna Sinha
KAAPI WITH KURIOSITY PERSPECTIVES IN MATH AND ART SPEAKER: Supurna Sinha (Raman Research Institute, Bengaluru) WHEN: 4:00 pm to 5:30 pm Sunday, 24 April 2022 WHERE: Jawaharlal Nehru Planetarium, Bengaluru Abstract: The European renaissance saw the merging of mathematics and art in th
From playlist Kaapi With Kuriosity (A Monthly Public Lecture Series)
Linear Algebra 15g: Geometric Transformation in Space, As Opposed to on the Plane
https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep
From playlist Part 3 Linear Algebra: Linear Transformations
An Intuitive Introduction to Projective Geometry Using Linear Algebra
This is an area of math that I've wanted to talk about for a long time, especially since I have found how projective geometry can be used to formulate Euclidean, spherical, and hyperbolic geometries, and a possible (and hopefully plausible) way projective geometry (specifically the model t
From playlist Summer of Math Exposition 2 videos
Planes -- Elementary Linear Algebra
This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.
From playlist Elementary Linear Algebra
algebraic geometry 16 Desargues's theorem
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It covers Desargues's theorem and duality of projective space.
From playlist Algebraic geometry I: Varieties
OpenGL - model transform and projection
Code samples derived from work by Joey de Vries, @joeydevries, author of https://learnopengl.com/ All code samples, unless explicitly stated otherwise, are licensed under the terms of the CC BY-NC 4.0 license as published by Creative Commons, either version 4 of the License, or (at your o
From playlist OpenGL
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
15. Projections onto Subspaces
MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 15. Projections onto Subspaces License: Creative Commons BY-NC-SA More information at https://
From playlist MIT 18.06 Linear Algebra, Spring 2005