Results 1 to 5 of 5

Math Help - Ellipsoid

  1. #1
    Newbie
    Joined
    Oct 2008
    Posts
    7

    Ellipsoid

    Thanks
    Last edited by loollool; October 27th 2008 at 11:57 AM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Oct 2008
    Posts
    11

    "The" bisector

    It is incorrect to talk about "The" bisector of an ellipsoid, unlike a sphere it doesn't have just one that is the same throughout. The bisectors would be ellipses, but I am not aware of any special names given to one of them.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Oct 2008
    Posts
    7
    Thanks for your reply.
    Last edited by loollool; October 27th 2008 at 11:57 AM.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,829
    Thanks
    123
    Quote Originally Posted by loollool View Post
    Thanks for your reply. It is really appreciated.
    Do you mean that to bisect an ellipsoid, we need to use an ellipse?
    Here is my question in other words: Is a bisector of an ellipsoid a reasonabley described curve? For instance, in the plane, it is a straight line halfway between the two points. How about in an ellipsoid?
    Thanks in advance,
    1. In general a bisector is one dimension lower than the bisected object. For example:

    the bisector of a circle (dim = 2) is a straight line (dim = 1)
    the bisector of a solid (dim = 3) is a plane (dim = 2)

    2. There are 2 different types of ellipsoids:
    a) Elliptic ellipsoid: Then every bisector is an ellipse
    b) Rotational ellipsoid: Then the bisector is either a circle (the axis of rotation is perpendicular to this circle) or an ellipse.

    EDIT: After playing around a little bit I noticed that it must be possible to get a circular bisector with elliptic ellipsoids too!
    Last edited by earboth; October 27th 2008 at 06:04 AM.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Newbie
    Joined
    Oct 2008
    Posts
    7
    Thanks! It makes sense.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Is this a cone or an ellipsoid?
    Posted in the Calculus Forum
    Replies: 2
    Last Post: September 15th 2010, 01:25 PM
  2. Volume of ellipsoid
    Posted in the Calculus Forum
    Replies: 0
    Last Post: November 17th 2009, 06:26 PM
  3. area of ellipsoid
    Posted in the Calculus Forum
    Replies: 10
    Last Post: May 13th 2009, 08:16 AM
  4. ellipsoid
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 27th 2008, 07:27 PM
  5. ellipsoid
    Posted in the Calculus Forum
    Replies: 6
    Last Post: November 21st 2006, 07:20 PM

Search Tags


/mathhelpforum @mathhelpforum