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

YouTube

Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

Start learning Write review
Coursera Ad

Learn AI, Data Science & Business — Earn Certificates That Get You Hired

Learn More → CodeSignal Ad

Learn Generative AI, Prompt Engineering, and LLMs for Free

Learn More →

Overview

Google, IBM & Meta Certificates – 40% Off
One Coursera Plus subscription covers most Professional Certificates on Coursera.
Unlock All Certificates
This video develops perpendicularity and polarity on a sphere, including polar triangles and their angle-side relationships. It concludes by extending point–plane duality from circles to spheres in projective space.

Syllabus

Introduction great circles
Polar of a point
Poles/polars more symmetric in elliptic geometry
Polar triangle
The relationship between polar triangles
Duality
Point/plane duality induced by a sphere

Taught by

Insights into Mathematics

Reviews

Start your review of Perpendicularity, Polarity and Duality on a Sphere - Universal Hyperbolic Geometry

Start learning

Never Stop Learning.

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

Sign up for free
Someone learning on their laptop while sitting on the floor.