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Parametrizing and Projecting a Sphere - Universal Hyperbolic Geometry

Insights into Mathematics via YouTube

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Overview

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This course teaches the rational parametrization of a sphere, stereographic and gnomonic projections, algebraic underpinnings, parametrization formula for a sphere, spherical coordinates, and the application of gnomonic projection in elliptic geometry. The teaching method involves video lectures with a duration of 39 minutes. The intended audience for this course includes individuals interested in advanced mathematics concepts and geometry.

Syllabus

Introduction
Stereographic projection
Recall parametrization of a circle
Algebraic underpinnings
Parametrization formula for a sphere
Spherical co-ordinates
Gnomonic projection
Gnomonic projection works more naturally with elliptic geometry

Taught by

Insights into Mathematics

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