Mashrafi Geometric Model (MGM): A Unified Framework for Vertical–Horizontal–Diagonal Relationships

The Mashrafi Geometric Model (MGM) introduces a unified analytical framework forunderstanding vertical (V), horizontal (H), and diagonal (D) relationships in orthogonaltwo-dimensional geometry. While classical Euclidean geometry treats diagonal lengths,angles, and slopes as separate formulations, MGM integrates them into a single ratio-driven system governed by the dimensionless parameter 𝑅 = 𝑉/𝐻 .Using this proportional identity, MGM derives a generalized diagonal equation andcomplementary angle relations, enabling deterministic geometric behavior once the ratiois known. The model establishes a case-based geometric classification and offers directapplicability to structural engineering, robotics kinematics, signal alignment, and spatialmodeling. MGM represents a formal, named geometric contribution and provides ascalable foundation for future theoretical extensions........ Please check the attachment for details