Explore the Triple quad formula, a fundamental theorem in hyperbolic geometry, in this 39-minute video lecture. Delve into the relationship between three quadrances formed by collinear points, comparing it to its Euclidean counterpart. Examine the challenging proof involving a remarkable polynomial identity. Analyze the formula's connection to the Euclidean Triple spread formula and investigate dot products in Euclidean and relativistic contexts. Work through exercises on the Triple spread function, complementary quadrances theorem, and equal quadrances theorem. Gain insights into the algebraic intricacies of hyperbolic geometry and enhance your understanding of this advanced mathematical concept.