The Projective Triple Quad Formula - Rational Geometry Math Foundations

Explore the projective analog of the Triple quad formula in this 26-minute mathematics lecture. Delve into one-dimensional Euclidean projective geometry, examining Fibonacci's identity, separation of projective points, and perpendicularity. Investigate the basic properties of projective quadrance and the relationship between three projective quadrances. Discover the projective Triple Quad Formula and its connection to the Triple Spread Formula in Rational Trigonometry. Gain insights into this fundamental mathematical concept and its potential far-reaching influence across various mathematical fields.

Introduction
One dimensional Euclidean Projective Geometry
Fibonacci's Identity
Separation of projective points
Perpendicularity
Basic properties of the projective quadrance
Relation between three projective quadrances
The projective Triple Quad Formula
Triple Spread Formula