1. ## doubt on ELLIPSE

Hi,
i have a doubt on ELLIPSE. Say i have two points of my ELLIPSE, ie major axis as "2a", and minor axis as "2b". if i cut the ELLIPSE into TWO parts on Major axis. then i will have two ARCS(or some curve). My problem is to find the CENTRE of the Circle which is forming this ARC (curve).

my other problem is

say i have radius of the above curve as (r) . when i increase the height of the curve my radius shifts from it's position. is the resultant radius equal to the (increased height+ r). ie, r= increased height+ r ?

2. Originally Posted by prabhakar157
Hi,
i have a doubt on ELLIPSE. Say i have two points of my ELLIPSE, ie major axis as "2a", and minor axis as "2b". if i cut the ELLIPSE into TWO parts on Major axis. then i will have two ARCS(or some curve). My problem is to find the CENTRE of the Circle which is forming this ARC (curve).

my other problem is

say i have radius of the above curve as (r) . when i increase the height of the curve my radius shifts from it's position. is the resultant radius equal to the (increased height+ r). ie, r= increased height+ r ?

I'm not sure what you are asking here. What points do you have? Also, an ellipse is not formed from sections of a circle. If you cut an ellipse in half, the "arc" formed cannot be modelled by a circle. The curvature of the two are different.

-Dan

3. If you divide an ellipse into to parts across the major/minor axis you will not get an arc of a circle. This can be shown by using the definition of the ellipse and definition of circle. An ellipse is a set of points such as the sum on the distances from TWO points is a konstant and a circle is a set such as the distance from ONE point is a konstant.