Graphical projections

Parallel projection

In three-dimensional geometry, a parallel projection (or axonometric projection) is a projection of an object in three-dimensional space onto a fixed plane, known as the projection plane or image plane, where the rays, known as lines of sight or projection lines, are parallel to each other. It is a basic tool in descriptive geometry. The projection is called orthographic if the rays are perpendicular (orthogonal) to the image plane, and oblique or skew if they are not. (Wikipedia).

Parallel projection
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Properties of Parallelograms

I introduce the Properties of Parallelograms...the opposite sides are equal, the opposite angles are equal, the consecutive angles are supplementary, and the diagonals bisect each other. I work through four algebraic examples in this video at 4:28 14:30 Find free review test, useful notes

From playlist Geometry

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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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Geometry - Identifying Corresponding Angles from a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Proving Parallel Lines with Angle Relationships

👉 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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Geometry - Identifying Consecutive Interior Angles from a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Using the properties of parallelograms to solve for the missing diagonals

👉 Learn how to solve problems with parallelograms. A parallelogram is a four-sided shape (quadrilateral) such that each pair of opposite sides are parallel and are equal. Some of the properties of parallelograms are: each pair of opposite sides are equal, each pair of opposite sides are pa

From playlist Properties of Parallelograms

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Learn to Find Corresponding Angles From a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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What is the Consecutive Interior Angle Converse Theorem

👉 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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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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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)

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Geometric Algebra in 2D - Vector Projection and Reflection

We will go over a couple applications of the geometric algebra view of R^2 and learn how to project, reject, and reflect vectors. The formula we get for reflection is probably the most interesting and we'll see the form of the formula come up again and again in talk of geometric algebra. I

From playlist Math

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Rod Gover - Geometric Compactification, Cartan holonomy, and asymptotics

Conformal compactification has long been recognised as an effective geometric framework for relating conformal geometry, and associated field theories « at infinity », to the asymptotic phenomena of an interior (pseudo‐)‐Riemannian geometry of one higher dimension. It provides an effective

From playlist Ecole d'été 2014 - Analyse asymptotique en relativité générale

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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

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Projections -- Elementary Linear Algebra

This lecture is on Elementary Linear Algebra. For more see http://calculus123.com.

From playlist Elementary Linear Algebra

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Worldwide Calculus: Dot Product, Angles, and Orthogonal Projection

Lecture on 'Dot Product, Angles, and Orthogonal Projection' from 'Worldwide Multivariable Calculus'. For more lecture videos and $10 digital textbooks, visit www.centerofmath.org.

From playlist Multivariable Spaces and Functions

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Map Projections Explained

Correction: The azimuthal equidistant projection is actually defined by θ = a and r = 90° - b. I got b mixed up with phi. This video was made for 3blue1brown's summer of math exposition contest. It was selected as one of the top 100, and that has really helped kickstart my channel, so

From playlist Summer of Math Exposition Youtube Videos

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Geometric Optics - A Level Physics

Continuing the A Level Physics revision series with geometric optics. The lens formula. Real and virtual images. Convex and Concave lenses and mirrors.

From playlist A Level Physics Revision

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Lec 1 (cont.) | MIT 6.189 Multicore Programming Primer, IAP 2007

Lecture 1: Introduction (cont.) License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu Subtitles are provided through the generous assistance of Rohan Pai.

From playlist MIT 6.189 Multicore Programming Primer, January (IAP) 2007

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Determining Two Angles are Consecutive Interior Angles from a Figure

👉 Learn how to identify angles from a figure. This video explains how to solve problems using angle relationships between parallel lines and transversal. We'll determine the solution given, corresponding, alternate interior and exterior. All the angle formed by a transversal with two paral

From playlist Parallel Lines and a Transversal

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Introduction to Projective Geometry via Tic-Tac-Toe Grids #SoME2

My entry for @3blue1brown's Summer of Math Exposition 2022. It's my first video ever and there are a million things I would like to improve. Mostly the audio quality and my terrible, terrible accent. 😅 Alas, perfect is the enemy of the good, isn't it. So, here we go. #SoME2 ------------

From playlist Summer of Math Exposition 2 videos

Related pages

Perpendicular | Projection plane | Axonometric projection | Ellipse | 3D projection | Angle | Axonometry | Orthographic projection | Outer product | Parallel (geometry) | Identity matrix | Technical drawing | Line (geometry) | Three-dimensional space | Oblique projection | Architectural drawing | Plan (drawing) | Rectangle | Descriptive geometry | Parallelogram | True length | Mathematics | Isometry | Right angle | Skew lines | Focal length | Projection (linear algebra) | Line of sight | Midpoint | Ratio | Projection (mathematics) | ACM Computing Surveys | Conservation of energy | Plane (geometry) | Circle | Waterfall (M. C. Escher)