Re: Ellipse Distance / Intersection

On Oct 27, 8:12 pm, Narasimham <mathm...@xxxxxxxxxxx> wrote:
On Oct 27, 7:13 pm, Stephan Rose <nos...@xxxxxxxxxxx> wrote:

Distance/Intersection between ellipse and ellipse
Stephan

I recently asked about minimum distance between two non-intersecting
conic sections, not lucky in this particular aspect.

http://groups.google.co.in/group/sci.math/browse_thread/thread/be8fba...

Narasimham

Using transversality conditions f(x) and g(x) in addition the the
Euler - Bernoulli equations on functional F(x,y,y') in variational
calculus this can be solved, I believe.

The Euler- Bernoulli equations using standard notation are:
F + ( f' - y') Fy' = 0 and F + ( g' - y') Fy' = 0
whre f and g appear as some additional 'attachments'.

See e.g., Calculus of Variations I.M.Gelfand & S.V.Fomin, Moscow State
Univ. Prentice-Hall English edition LCCCN 63- 18806.

Narasimham







.