Posts tagged 'Regiomontanus'

W.24 Exact Triangle Solvers & Surveying Triangulation

Every classical triangle specification (QQQ, QQS, QSS, SQQ, and SSS up to scaling) reduces to linear or quadratic equations in quadrances and spreads with exact discriminant branching; applied to surveying, inaccessible heights and Regiomontanus’ maximum-spread viewing problem resolve by pure rational algebra without trigonometric tables.