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Sunday, December 15, 2013

Question of the week #2 - the answer

Question of the week #2

   Last week's question was dealing with two different standard forms of the hyperbola equation.
The answer to the question, is that these two different forms are equivalent descriptions and this can be shown by a counterclockwise rotation $(x,y)\rightarrow(x',y')$ of the planar coordinate system, through an angle $φ=π/4 (rad)$.
   Here are some more details (in the example that follows $a > 0$):

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