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Lemniscate locus

  1. Jun 6, 2009 #1
    Hello from the book I am reading it defines the lemniscate as the locus for which the product of the distances r1 and r2 with the coordinates x= a and x= -1 and y= 0 has the constant value of a2.

    I went about deriving the equation in polar coordinates from this locus, however I do not get the correct equation when the locus is defines as r1 x r2 = a2 but when r1 x r2 = a the correct equation is arrived at.

    Is this simply a typo on behalf of the author?
     
    Last edited: Jun 7, 2009
  2. jcsd
  3. Jun 7, 2009 #2

    tiny-tim

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    Hello ronaldor9! :smile:

    (try using the X2 and X2 tags just above the Reply box :wink:)
    erm :redface:what's the difference? :confused:
     
  4. Jun 7, 2009 #3
    I went about deriving the equation in polar coordinates from this locus, however I do not get the correct equation when the locus is defines as r1 x r2 = a2 but when r1 x r2 = a the correct equation is arrived at.

    FIXED thanks!
     
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