Results 1 to 1 of 1

Thread: Tough analytical sum.

  1. #1
    Apr 2011

    Lightbulb Tough analytical sum.

    Let z1, z2, z3 be the vertices of A,B,C of a triangle with the origin(O) the circumcenter. A transformation takes ABC to its circumcircle fixing the center and with the following property:-
    A point on AB be a.z1+(1-a)z2. Then after transformation it will be z1^a.z2^(1-a)
    Similar for BC and CA.
    This takes ABC to its circumcircle.
    By homothety with respect to O this transformation is defined for all other points in the plane also.
    Can anyone tell me what a line not passing through O changes to by this transformation??
    Last edited by mr fantastic; Apr 15th 2011 at 12:33 AM. Reason: Deleted begging in title, deleted email link in post.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Nov 8th 2011, 04:25 AM
  2. Analytical Geometry
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Jan 12th 2011, 08:12 AM
  3. Analytical geometry
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: Apr 23rd 2010, 10:56 PM
  4. tough tough gauss law
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: Apr 15th 2008, 04:28 AM
  5. Analytical geometry
    Posted in the Pre-Calculus Forum
    Replies: 10
    Last Post: Jul 22nd 2007, 09:15 AM

Search Tags

/mathhelpforum @mathhelpforum