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From: Jon on 15 Jun 2010 21:47
I saw a beautiful equation walking up the street on my way home. A far off
part of me wanted to cry. So so. I had to move on. While I am nothing in
comparison, here's this.

http://mypeoplepc.com/members/jon8338/sitebuildercontent/sitebuilderfiles/triangulation00.xls

Three screw booms of known length anchored at known coordinates meet at an
apex at D.

Alternatively three spheres of known centers and known radii intersect at
two D's.

Do you want to see my spreadsheet crank out the numbers? That's what it
does. It can calculate inputs to get outputs in REAL TIME. So experiment
in changing the values.

A (xa, ya, za) first anchor
B (xb, yb, zb) second anchor
C (xc, yc, zc) third anchor
AD length of first screw boom
BD length of second screw boom
CD length of third screw boom

are all the inputs that can be changed on the spreadsheet (it's Excel, but
OpenOffice.org Calc also works)

Who wants to know where three spheres intersect?

probably the impossibility of Newton's "Three Point Problem."

there she goes.

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