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Hyperbola and Elipsse simplifying equations, really simple (photo of textbook) watch

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    missprint? Or what?



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    They are the same equations. The denominators of the y^2 term change from (e^2-1) to (1-e^2), but this is compensated by changing - into a + before the whole term.
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    if you factorise out -1 from the denominator on the right hand picture, you get the same thing :>
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    (Original post by Glutamic Acid)
    They are the same equations. The denominators of the y^2 term change from (e^2-1) to (1-e^2), but this is compensated by changing - into a + before the whole term.

    So what is the point of saying that hyperbola and ellipse have different equations if they have the same?
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    This might help though.

    They seem to be different in that one have e > 1, one has e < 1 and the ellipse doesn't have asymtopes.
 
 
 

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