Re: Triangles in ellipse - optimization problem



On Apr 18, 5:13 am, OwlHoot <ravensd...@xxxxxxxxxxxxxx> wrote:
On Apr 17, 9:43 pm, Cary <c...@xxxxxxxxxxxxxx> wrote:



On Fri, 17 Apr 2009 13:42:08 +0200, Thomas Nordhaus

<thnord2...@xxxxxxxx> wrote:
Hi -
Im trying to find the triangels with largest circumference lying inside
the ellipse x^2/a^2 + y^2 =1, a>=1.

[snip]

FWIW, here is a reference that might be of interest.

"Mathematical problems on the first and second divisions of the
schedule of subjects for the Cambridge mathematical tripos
examination", Joseph Wolstenholme, 2nd ed., Macmillan and co., 1878

A formula for the problem in your post is given on pg. 173, no. 1060.
Ref link: <http://books.google.com/books?id=awMAAAAAQAAJ&jtp=173>

Various other results are also given.

HTH

This must sound really thick, but how does one actually view the
contents of an ebook like that in Google books, or download it,
assuming either is possible?

I've added it to my library, but clicking on various links just
takes me round in a circle, and there doesn't seem to be a link
to actually open the book!

Cheers

John Ramsden

Hi, John:

When I follow the link above, on the right hand
side I see a link to Download the book in PDF
format. (It was published in 1878, so the
copyright has expired, and the book is now in
the public domain.)

However I don't know if the PDF format is
searchable. Sometimes a PDF consists only
of a sequence of images, and text searches
with Adobe Reader fail. Google Books has
indexed the text, however, and so online
searching is possible. Try the "Search
in this book" field and Go button just
above the Download PDF link.


regards, chip
.


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