Theorems Using Perpendicularity - Universal Hyperbolic Geometry

Theorems Using Perpendicularity - Universal Hyperbolic Geometry

Explore perpendicularity in hyperbolic geometry through this 37-minute video lecture. Review how perpendicularity arises from duality and delve into duality for triangles and trilaterals. Examine the orthic triangle and its dual, introducing the Base center point and its significance. Learn a general strategy for approaching theorems in the subject and investigate the Standard Triangle 1 as a tool for algebraic illustration and numerical exploration. Discover key concepts such as the Base ortho-axis theorem, orthocenter, and the Base triple orthocenter theorem. Follow along as the lecture progresses through various topics, including dual triangles, altitudes, and practical applications of the Standard Triangle 1.