Lyran Trigonometry Coursebook 1: Three Geometries and Ancient Algebra
Identities, transformations, and geometric models
The complete 2026 program
Theory and review are separate 90-minute bookings at $20 USD each, so students may choose the occurrence and time stream that works for them. Every paid occurrence includes the coursebook examination, private teacher feedback, and one correction opportunity.
Identities, transformations, and geometric models
Expressions, division, and factorization
Ancient tables, exact computation, and reconstruction
Complex roots and equation methods
Cyclic structures, reciprocal periods, and table geometry
Congruences, divisibility, and finite differences
Triangle identities, cevians, and olympiad geometry
Equations, series, products, and limits
Composition, iteration, and functional equations
Great circles, spherical triangles, and spatial geometry
Mixed methods and international olympiad practice
Mixed methods and cumulative olympiad practice