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Math Help - doubt on ELLIPSE

  1. #1
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    Question 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 ?

    please reply to my questions. Thanking you in advance.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote 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 ?

    please reply to my questions. Thanking you in advance.
    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
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  3. #3
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    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.
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