"Sims" wrote in
:

That question has also been asked, and answered, before.
Did you try searching this group's archives, via Google?

Well that was a somewhat predictable answer fro you.

But again, yes i did look around google and i did not find anything.
I did find some formulas but most of them incomplete or simply did not
have an explanation to go with them.

I searched, "Great circle intersections", "Latitude Longitude
intersection", without great success.

OK, here's what I just did, using Google's "Groups" search.
Maybe you were only using Google to search the Web?
(the searches below didn't use the quotes("))

1)
Search for "Great circle intersections" - no obvious results
in the first 3 pages of results listed(normally I'd look through
in more detail, and to at least the 5th results page)
2)
Search for "Latitude Longitude intersection" - hmmm, the first
result listed on the 3rd page of results looks promising:
intersection of two lines
... latitude and longitude (WGS84). How can I compute the
intersection point (x3, y3), also in latitude and longitude?
You can assume that ...
comp.infosystems.gis - 26 Dec 1995 by Tim Tsai
(11 articles)
3)
Viewed the thread, but saw references to out of print books, so...
4)
Try another search, using "intersection of two lines", and got
lots of possible results.
5)
Dave(that's me) suggested the question had been covered before
in this newsgroup, so switch to Advanced Groups Search, and search
sci.geo.satellite-nav for "intersection of two lines".

Of course it finds the same 1995 thread, but the second result
is for a September 10th thread "Software to Find Point Where
Lines Intersect?", and it has some answers that may, or may
not, help you:
http://groups.google.com/groups?hl=en&lr=&ie=UTF-
8&safe=off&threadm=8dT7b.789%24TN1.187%40newssvr32 .news.prodigy.com&rnum=2&
prev=/groups%3Fq%3Dintersection%2Bof%2Btwo%2Blines%2Bgro up:sci.geo.satellit
e-nav%2Bgroup:sci.geo.satellite-nav%26hl%3Den%26lr%3D%26ie%3DUTF-
8%26group%3Dsci.geo.satellite-nav%26safe%3Doff%26sa%3DG

--
Dave Patton
Canadian Coordinator, the Degree Confluence Project
http://www.confluence.org dpatton at confluence dot org
My website: http://members.shaw.ca/davepatton/
Vancouver/Whistler - host of the 2010 Winter Olympics