Class Central is learner-supported. When you buy through links on our site, we may earn an affiliate commission.

YouTube

Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger

Insights into Mathematics via YouTube

Overview

Limited-Time Offer: Up to 75% Off Coursera Plus!
7000+ certificate courses from Google, Microsoft, IBM, and many more.
This course teaches how to prove the main laws of rational elliptic/spherical trigonometry using basic linear algebra involving dot products, 3x3 matrices, and their inverses. The main focus is on elliptic triangles and proving essential formulas such as Thales' theorem, Pythagoras' theorem, and the Triple Quad Formula in an elliptic or projective setting. The teaching method involves explaining and proving these laws and theorems through video lectures. The intended audience for this course includes individuals interested in advanced geometry and mathematics.

Syllabus

Introduction
Hyperbolic rational trigonometry laws
Polarity of elliptic triangles
Rewriting quadrances and spreads
What about the cross law?
Dual cross law
Dual Pythagoras' theorem

Taught by

Insights into Mathematics

Reviews

Start your review of Trigonometry in Elliptic Geometry II - Universal Hyperbolic Geometry - NJ Wildberger

Never Stop Learning.

Get personalized course recommendations, track subjects and courses with reminders, and more.

Someone learning on their laptop while sitting on the floor.