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

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1. missprint? Or what?

2. 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.
3. if you factorise out -1 from the denominator on the right hand picture, you get the same thing :>
4. (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?

5. 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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Updated: January 30, 2010
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