My Math Forum Fermat's Curve

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August 5th, 2012, 10:39 AM   #1
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Fermat's Curve

Quote:
 Originally Posted by CRC Concise Encyclopedia of Mathematics A plane curve of the form y = x^n : For n >0, the curve is a generalized parabola; for n < 0 it is a generalized hyperbola.
I doubt it! :

for n=3, y = x^3 is not a parabola, is it? So why it says that y = x^n is always a parabola?

I don't understand . . .

Balarka

.

 August 5th, 2012, 01:16 PM #2 Global Moderator   Joined: May 2007 Posts: 6,512 Thanks: 585 Re: Fermat's Curve The are introducing a definition of a generalization. It makes sense only for x > 0.
August 5th, 2012, 07:22 PM   #3
Math Team

Joined: Mar 2012
From: India, West Bengal

Posts: 3,871
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Math Focus: Number Theory
Re: Fermat's Curve

Quote:
 Originally Posted by mathman It makes sense only for x > 0.
Yes, thanks!

(They never mentioned that x>0 anywhere)

Balarka

.

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