Orthoptic (geometry)

Orthogonality and Orthonormality

We know that the word orthogonal is kind of like the word perpendicular. It implies that two vectors have an angle of ninety degrees or half pi radians between them. But this term means much more than this, as we can have orthogonal matrices, or entire subspaces that are orthogonal to one

From playlist Mathematics (All Of It)

Orthocenters exist! | Universal Hyperbolic Geometry 10 | NJ Wildberger

In classical hyperbolic geometry, orthocenters of triangles do not in general exist. Here in universal hyperbolic geometry, they do. This is a crucial building block for triangle geometry in this subject. The dual of an orthocenter is called an ortholine---also not seen in classical hyperb

From playlist Universal Hyperbolic Geometry

finding the orthocenter - coordinate geometry

In this video, I show how to find the coordinates of the orthocenter. I go through a step by step process of writing the equation of the 3 altitudes of a triangle. Then using algebra to find the point of intersection of the 3 altitudes. The concepts of linear equations and perpendicular li

From playlist Geometry

Math 060 Fall 2017 111317C Orthonormal Bases

Motivation: how to obtain the coordinate vector with respect to a given basis? Definition: orthogonal set. Example. Orthogonal implies linearly independent. Orthonormal sets. Example of an orthonormal set. Definition: orthonormal basis. Properties of orthonormal bases. Example: Fou

From playlist Course 4: Linear Algebra (Fall 2017)

Altitude of a Triangle - Finding The Orthocenter

This geometry video tutorial provides a basic introduction into the altitude of a triangle. It provides the definition of an altitude and it includes plenty of examples of finding the orthocenter of an acute triangle, right triangle, and an obtuse triangle. Geometry Playlist: https://w

From playlist Geometry Video Playlist

X4 ORTHOCENTER

The orthocenter (X4) is the meet of the altitudes of a triangle. It's not obvious that these meet! ************************ Here are the Wild Egg Maths Playlists (some available only to Members!) Algebraic Calculus One (for the Open Learning Course) : https://www.youtube.com/playlist?lis

From playlist Triangle Geometry

Odile Contat : Publier : à quel prix ? Étude sur la structuration des coûts de publication...

Durant l'ANF du RNBM qui s'est déroulé la semaine du 16 au 20 octobre 2017, les journées du mardi et mercredi ont été consacrées à l'accès ouvert. Ces deux journées sont conçues pour s’adresser à un large public et doivent favoriser les échanges entre les différents acteurs de la publicati

From playlist Documentation mathématique

Linear Algebra: Orthonormal Basis

Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/ More on unit vectors: https://www.youtube.com/watch?v=C6EYJVBYXIo

From playlist Basics: Linear Algebra

Altitudes of Triangles and Orthocenter

I introduce altitudes in triangles and point of concurrency, the orthocenter. I finish by working through two examples, the last of which finding the orthocenter given the three vertices of a triangle. EXAMPLES AT 7:10 10:31 Find free review test, useful notes and more at http://www.math

From playlist Geometry

The Altitudes of a Triangle

This video defines an altitude and orthocenter of a triangle. Complete Video List: http://mathispower4u.yolasite.com/

From playlist Relationships with Triangles

Homeschool Geometry - What Every Homeschool Parent Needs to Know

TabletClass Math Homeschool: https://tabletclass.com/ How to homeschool Geometry successfully. Need help with homeschooling Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus? Check out TabletClass Math for all your homeschooling needs: https://tabletclass.com/ .

From playlist Homeschool Geometry

"Four Facets of Geometry" by Maciej Dunajski

From playlist UK-Lebanon Atiyah Fellowship Events

A brief history of geometry II: The European epoch | Sociology and Pure Mathematics | N J Wildberger

Let's have a quick overview of some of the developments in the European story of geometry -- at least up to the 19th century. We'll discuss Cartesian geometry, Projective geometry, Descriptive geometry, Algebraic geometry and Differential geometry. This is meant for people from outside m

From playlist Sociology and Pure Mathematics

A brief history of Geometry III: The 19th century | Sociology and Pure Mathematics | N J Wildberger

The 19th century was a pivotal time in the development of modern geometry, actually a golden age for the subject, which then saw a precipitous decline in the 20th century. Why was that? To find out, let's first overview some of the main developments in geometry during the 1800's, includin

From playlist Sociology and Pure Mathematics

Geometry for Kids - Introduction

This is a series of videos on Geometry, with kids in mind (~ 9 or 10 years old). We will start from some basic definitions, and then work on some elementary plane geometry: lines, angles, polygons, triangles, etc, and work our way up to proving some theorems! In this first video, we introd

From playlist Geometry for Kids

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

SGP 2020 Graduate School: Geometric computing in geometry-central

This talk gives a basic introduction to geometry-central (http://geometry-central.net), a C++ library with data structures and algorithms for geometry processing. We cover the basic motivations and design of the library, as well as some examples of it in action. Part of the SGP 2020 Grad

From playlist Research

What is Mathematics, Really? #SoME2

"What is mathematics?" and "What do mathematicians do?" Mathematics seems daunting or deeply nerdy. In my view, it's another way to look at the world, the same as art or science. Let's do some mathematics ourselves, speeding through the process from asking a question to telling others what

From playlist Summer of Math Exposition 2 videos

How to Find Orthocenter Given 3 Vertices (Algebraically)

Learn how to find the orthocenter algebraically given 3 vertices of a triangle in this math video tutorial by Mario's Math Tutoring. We discuss what the orthocenter is and how to find it. We make use of the slope equation as well as the point slope form of a line in this lesson to find t

From playlist Geometry

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)