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Compute the hyperbolic length of the arc of the circle $ x^2 + y^2 = 25$ that lies between (3, 4) and (4, 3).

From my notes I know the formula is $$ \ln \frac{{\csc \beta - \cot \beta }}{{\csc \alpha - \cot \alpha }} $$

however I don't know how to find $\beta$ and $\alpha$

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  • $\begingroup$ can you give more information? (which book are you using, which model and so on $\endgroup$ – Willemien Mar 17 '15 at 21:59
  • $\begingroup$ I assume that $\alpha$ and $\beta$ are the two sharp angles of the $(3,4;5)$ straight-edged triangle. $\endgroup$ – Lucian Mar 18 '15 at 2:15

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