Analytic Hyperbolic Geometry in N Dimensions : An by Abraham Albert Ungar PDF

By Abraham Albert Ungar

ISBN-10: 1482236680

ISBN-13: 9781482236682

This ebook introduces for the 1st time the hyperbolic simplex as an incredible proposal in n-dimensional hyperbolic geometry. The extension of universal Euclidean geometry to N dimensions, with N being any confident integer, leads to better generality and succinctness in similar expressions. utilizing new mathematical instruments, the booklet demonstrates that this is often additionally the case with analytic hyperbolic geometry. for instance, the writer analytically determines the hyperbolic circumcenter and circumradius of any hyperbolic simplex.

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