Trigonometry of a tetrahedron
The trigonometry of a tetrahedron explains the relationships between the lengths and various types of angles of a general tetrahedron. (Wikipedia).
The trigonometry of a tetrahedron explains the relationships between the lengths and various types of angles of a general tetrahedron. (Wikipedia).
Trigonometry 4 The Area of a Triangle
Various ways of using trigonometry to determine the area of a triangle.
From playlist Trigonometry
Trigonometry for Beginners || Trigonometry Basics
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles. This math video tutorial provides a basic introduction into #trigonometry. It covers trigonometric functions, ratios such as sine, cosine, and tangent, converting polar coordin
From playlist Trigonometry
Trigonometry - Vocabulary of trigonometric functions
In this video will cover some of the basic vocabulary that you'll hear when working with trigonometric functions. Specifically we'll cover what is trigonometry, angles, and defining the trigonometric functions as ratios of sides. You'll hear these terms again as we dig deeper into the st
From playlist Trigonometry
From playlist Trigonometry TikToks
Three dimensional geometry, Zome, and the elusive tetrahedron (Pure Maths Seminar, Aug 2012)
This is a Pure Maths Seminar given in Aug 2012 by Assoc Prof N J Wildberger of the School of Mathematics and Statistics UNSW. The seminar describes the trigonometry of a tetrahedron using rational trigonometry. Examples are taken from the Zome construction system.
From playlist Pure seminars
Three dimensional geometry, ZOME, and the elusive tetrahedron
Lectures notes at http://www.maths.unsw.edu.au/seminars/2012-07/three-dimensional-geometry-zome-and-elusive-tetrahedron. The geometry of three dimensional space, despite its obvious importance, is a sadly neglected topic in modern mathematics. One of the reasons is that the topic is rather
From playlist MathSeminars
The geometry of the regular tetrahedron | Universal Hyperbolic Geometry 45 | NJ Wildberger
We look at the geometry of the regular tetrahedron, from the point of view of rational trigonometry. In particular we re-evaluate an important angle for chemists formed by the bonds in a methane molecule, and obtain an interesting rational spread instead. Video Content: 00:00 Introduction
From playlist Universal Hyperbolic Geometry
Trigonometry full course for Beginners
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of #triangles. Throughout history, #trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation. Trigonometry is known for its many identities, whic
From playlist Trigonometry
Trigonometry 7 The Cosine of the Sum and Difference of Two Angles
A geometric proof of the cosine of the sum and difference of two angles identity.
From playlist Trigonometry
3D Trigonometry Example (1 of 2: Setting up the triangles)
More resources available at www.misterwootube.com
From playlist Trigonometry and Measure of Angles
Geometry Crash Course - Math Team Concepts 1
Covers: - Area of an equilateral triangle - Area of any regular n-gon - Definition of Ellipse - Definition of Hyperbola - Platonic Solids - Chi (Euler Characteristic)
From playlist Geometry Crash Course
Canonical structures inside the Platonic solids I | Universal Hyperbolic Geometry 49 | NJ Wildberger
Each of the Platonic solids contains somewhat surprising addition structures that shed light on the symmetries of the object. Here we look at the tetrahedron, and investigate a remarkable three-fold symmetry which is contained inside the obvious four-fold symmetry of the object. We connect
From playlist Universal Hyperbolic Geometry
Simplices and simplicial complexes | Algebraic Topology | NJ Wildberger
Simplices are higher dimensional analogs of line segments and triangle, such as a tetrahedron. We begin this lecture by discussing convex combinations and convex hulls, and showing a natural hierarchy from point to line segment to triangle to tetrahedron. Each of these also has a standard
From playlist Algebraic Topology
Journée de la Revue d’histoire des mathématiques - Veronica Gavagna - 01/12/17
Journée de la Revue d’histoire des mathématiques (séance préparée par la rédaction de la RHM) Veronica Gavagna (Università degli Studi di Firenze), « Studies on regular polyhedra in the Renaissance: the case of Francesco Maurolico » ---------------------------------- Vous pouvez nous re
From playlist Séminaire d'Histoire des Mathématiques
Euler's Four Point Relation | WildTrig: Intro to Rational Trigonometry | N J Wildberger
Euler found the volume of a tetrahedron in terms of the six quadrances of its sides. When the four points lie instead in a plane, the volume is zero, so Euler's formula gives a relation between the six quadrances. We work towards discovering this relation by studying a particular quadril
From playlist WildTrig: Intro to Rational Trigonometry
From playlist Trigonometry TikToks
N J Wildberger Research Snapshot: Rational trigonometry and universal geometry
A brief introduction to the author's novel theory of rational trigonometry and how it allows us to extend Euclidean geometry to general fields and arbitrary quadratic forms.
From playlist Research Snapshots
Trigonometry 2 The Trigonometric Functions
Meet the 6 main trigonometric functions of right triangles and some of their identities.
From playlist Trigonometry
Cycles and the Three/Four bridge | Six: An elementary course in Pure Mathematics Six 3 | Wild Egg
Continuing our study of six things, we introduce Cycles, along with Quadrangles and Pentagons. Then we have a closer look at the Three/Four bridge, a fundamental connection between four things and three things which we have already met in the context of Meets associated to an Edge and the
From playlist Six: An elementary course in Pure Mathematics