HARMONIC QUARTET OF POINTS: GEOMETRIC PROPERTIES AND APPLICATIONS
Keywords:
harmonic quartet, cross-ratio, projective geometry, harmonic conjugate, geometric transformations, computational geometry, optical systems, force equilibrium.Abstract
This paper analyzes the concept of the harmonic quartet of points, its
fundamental geometric properties, and practical applications. The harmonic ratio provides a
deeper understanding of geometric relationships, and its use in solving various
mathematical problems is discussed. Furthermore, the connections between harmonic
division and modern computational geometry are explored.
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