12. (Hyperbolic angle measure) Consider the upper-half plane model for the hyperbolic plane H, where the...
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12. (Hyperbolic angle measure) Consider the upper-half plane model for the hyperbolic plane H, where the set of points is H:= {(x, y) = R²|y>0} and the set of lines is LH:= {ler | cr ER and r>0}U{le | CER}, non-vertical lines. vertical lines where ler = {(x, y) = H | (x-c)² + y2 = r²} and f = {(cy) € Hy>0}. Elcrc, c mis a line Find the critical number ro = || r(P, ) for the line and the external point P, where l = lo, lo = {(x, y) = H | x=0}, and P = (1, 1). Use the following steps: (a) Suppose m is the line containing P such that ml. Show m = lo.v₂. (b) Show that m and intersect at the point (0, √2), call this point D. 12. (Hyperbolic angle measure) Consider the upper-half plane model for the hyperbolic plane H, where the set of points is H:= {(x, y) = R²|y>0} and the set of lines is LH:= {ler | cr ER and r>0}U{le | CER}, non-vertical lines. vertical lines where ler = {(x, y) = H | (x-c)² + y2 = r²} and f = {(cy) € Hy>0}. Elcrc, c mis a line Find the critical number ro = || r(P, ) for the line and the external point P, where l = lo, lo = {(x, y) = H | x=0}, and P = (1, 1). Use the following steps: (a) Suppose m is the line containing P such that ml. Show m = lo.v₂. (b) Show that m and intersect at the point (0, √2), call this point D.
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a To locate the line that is perpendicular to line and contains point P 2 0 Since ll oxyR 2 x0 we mu... View the full answer
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Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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