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- Oct 26th 2008, 04:34 PMloolloolEllipsoid
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- Oct 26th 2008, 05:47 PMHere to Help"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.

- Oct 26th 2008, 07:28 PMloollool
Thanks for your reply.

- Oct 27th 2008, 01:32 AMearboth
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! - Oct 27th 2008, 10:27 AMloollool
Thanks! It makes sense.