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

YouTube

Midpoints and Bisectors - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

Overview

Google, IBM & Meta Certificates – 40% Off
One Coursera Plus subscription covers most Professional Certificates on Coursera.
Unlock All Certificates
This course examines point reflections in hyperbolic geometry, including null reflections and the preservation of perpendicularity and lines. It also develops straightedge constructions for side midpoints and defines vertex bisectors, highlighting cases where midpoints may not exist or may be non-unique.

Syllabus

Introduction
Definition of reflection of a general point
Null reflection theorem
Matrix perpendicularity theorem
Reflection preserves perpendicularity theorem
Reflection preserves lines theorem
Midpoint between 2 points
Geometrical construction of midpoints 1a
Geometrical construction of midpoints 1b
Geometrical construction of midpoints 2
Not all sides have midpoints; side/vertex midpoints/bisectors

Taught by

Insights into Mathematics

Reviews

Start your review of Midpoints and Bisectors - Universal Hyperbolic Geometry

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.