Title: Ripple Geometry: The Analytical Equation of a Dynamic Hyperbola
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.
Publication Year: 2015
Publication Date: 2015-02-01
Language: en
Type: preprint
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