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Math Help - Hyperbolic geometry

  1. #1
    Senior Member Pinkk's Avatar
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    Hyperbolic geometry

    If a hyperbolic triangle has three equal angles, are its sides necessarily equal to each other?

    I have a feelingg the answer is no but I'm not exactly sure how to go about this.

    Edit: Okay, so I have an idea that for any hyperbolic triangle ABC with sides a, b, and c, the following equalities hold:

    \frac{\sin A}{\sinh a} =\frac{\sin B}{\sinh b} = \frac{\sin C}{\sinh c}

    So if the angles are equal we have \sinh a = \sinh b = \sinh c but I am not sure if this makes a=b=c.
    Last edited by Pinkk; April 8th 2010 at 12:23 PM.
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  2. #2
    Senior Member Pinkk's Avatar
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    Hyperbolic triangles and inscribed circles

    Double post, sorry.
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