Divine Proportions: Rational Trigonometry To Un... May 2026

Rational Trigonometry is a purely algebraic alternative to classical trigonometry that replaces distance and angle with and spread , allowing for exact geometric calculations without transcendental functions.

: Replaces the Triangle Inequality. For three points to be collinear, their quadrances must satisfy: Divine Proportions: Rational Trigonometry to Un...

with purely algebraic concepts. By avoiding irrational numbers and infinite series, it allows for exact calculations over any field, not just the real numbers. 1. Replace distance with quadrance Rational Trigonometry is a purely algebraic alternative to