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3) (6.5-1) We define area of a triangle in hyperbolic geometry as A(AABC) = k*d(ABC). Could we have defined area as A(AABC) = k*

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3) (6.5-1) We define area of a triangle in hyperbolic geometry as A(AABC) = k*d(ABC). Could we have defined area as A(AABC) = k* S(AABC)? If so, show it satisfies all the postulates. If not, explain which postulate(s) it fails.

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In hyperbolic geometry the area of a triangle is typically defined using the formula Atriangle ABC k dtriangle ABC where dtriangle ABC represents the ... blur-text-image

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