Isosceles Triangles in Hyperbolic Geometry - Universal Hyperbolic Geometry - NJ Wildberger
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Overview
Explore the fascinating world of isosceles triangles in hyperbolic geometry in this 33-minute video lecture. Delve into special formulas associated with isosceles triangles and their connection to midpoint construction. Learn about the isosceles triangle theorem and its proof using the cross law. Examine equilateral and right triangles, and understand the definitions of midpoint and midline. Discover the midline theorem and isosceles mid theorem. Practice your understanding with three exercises. Access screenshot PDFs for a concise overview of the lecture contents, perfect for review and study.
Syllabus
Introduction, Defn of Isosceles triangle
Isosceles triangle theorem
Proof is an application of the cross law
Equilateral and right triangles
definition of midpoint and midline
Midline theorem
Isosceles mid theorem
Exercise 30.1
Exercise 30-2; exercise 30-3
Taught by
Insights into Mathematics