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

YouTube

Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3

Insights into Mathematics via YouTube

Start learning Write review
Coursera Ad

AI, Data Science & Cloud Certificates from Google, IBM & Meta

Learn More → Scrimba Ad

Free courses from frontend to fullstack and AI

Learn More →

Overview

Google, IBM & Meta Certificates – 40% Off
One Coursera Plus subscription covers most Professional Certificates on Coursera.
Unlock All Certificates
The lesson examines Pappus’ theorem and the cross ratio in projective geometry, including its invariance under projection and Chasles’ theorem for four points on a conic.

Syllabus

CONTENT SUMMARY: Pappus' theorem @00:52 cross ratio @02:46 cross ratio transformation theorem @11:08 cross ratio theorem @13:54 Chasles theorem @ The cross ratio is the most important invariant in projective geometry 9:09
Hyperbolic geometry as based on projective geometry
Pappus of Alexandria
Exercise - Verify Pappus' theorem for special cases
Cross ratio
Experience with cross ratio
Cross ratio transformation theorem
Cross ratio theorem
Chasles' theorem
Projective geometry and Desargues

Taught by

Insights into Mathematics

Reviews

Start your review of Pappus' Theorem and Cross Ratio in Projective Geometry - Universal Hyperbolic Geometry 3

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.