Orthopole

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

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)

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

Geogebra - Orthocenter

Use Geogebra to create the orthocenter of a triangle

From playlist Geogebra

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

Orthogonal and Orthonormal Sets of Vectors

This video defines orthogonal and orthonormal sets of vectors.

From playlist Orthogonal and Orthonormal Sets of Vectors

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

Orthonormal Bases

Orthonormal bases. The Gram-Schmidt Procedure. Schuur's Theorem on upper-triangular matrix with respect to an orthonormal basis. The Riesz Representation Theorem.

From playlist Linear Algebra Done Right

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

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)