2015•viXraRequires access

Ripple Geometry: The Analytical Equation of a Dynamic Hyperbola

Joseph Ivin Thomas

Abstract

Two circles C(O,r) and C(O',r'), expanding at an equal and uniform rate in a plane, come to intersect each other in a branch of a hyperbola, referred to here as a dynamic hyperbola. In this paper, the analytical equation of the dynamic hyperbola is derived in a step by step fashion. Also, three of its immediate applications, into neuroscience, engineering and physics, respectively is summarized at the end.

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Available abstract

Key concepts: Hyperbola, Mathematics, Geometry, Plane (geometry), Mathematical analysis