Results 1 to 2 of 2

Math Help - Cartesian equation of Luroth's quartics

  1. #1
    Newbie
    Joined
    Jun 2010
    Posts
    22

    Cartesian equation of Luroth's quartics

    Hello!

    I'm in search of the Cartesian equation of Luroth's quartics, i.e. of those curves passing through the 10 vertices of a pentalateral complete.

    I have found in Internet a formula of the type

    1 / L0*l0 + 1 / L1*l1 + 1 / L2*l2 + 1 / L3*l3 + 1 / L4*l4

    but I can't obtain from this formula the Cartesian equation of the quartic equations of Luroth in the form

    a * x^4 + b * y^4 + c * x^3 * y + ... + D = 0

    Ii think that L0, L1, L2, L3, L4 are of the coefficients of the quartic equations and that l0, l1, l2, l3, l4 are linked to the cartesian equations of the pentalateral, but more than this i don't know ...

    Who can help me?





    Powered by Language Weaver Farm
    Automated language translation software
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie Choobeen's Avatar
    Joined
    Aug 2012
    From
    San Diego, California
    Posts
    1

    Re: Cartesian equation of Luroth's quartics

    I surmise you would find the answer in the article Mathematische Annalen, Volume 1, Number 1 - SpringerLink

    Look up the source in your library, the above site charges money for access. Hopefully you can read German!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. cubics/quartics
    Posted in the Algebra Forum
    Replies: 4
    Last Post: March 12th 2010, 02:17 PM
  2. Replies: 4
    Last Post: December 1st 2009, 04:45 PM
  3. Solving Quartics
    Posted in the Algebra Forum
    Replies: 3
    Last Post: April 24th 2009, 11:30 PM
  4. Replies: 4
    Last Post: August 21st 2008, 08:02 AM
  5. Cartesian Equation
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 26th 2008, 10:09 AM

Search Tags


/mathhelpforum @mathhelpforum