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*From*: Ludwik Kowalski <kowalskil@MAIL.MONTCLAIR.EDU>*Date*: Thu, 19 Aug 2004 11:49:04 -0400

Each angle, of the equilateral "triangle" defined by Carl, is slightly

larger than 60 degrees. But the angles between the planes containing

the edges (containing three great circles) are always 60 degrees. Is

this correct?

On Thursday, Aug 19, 2004, at 11:12 America/New_York, Ludwik Kowalski

wrote:

I am trying to address Carl's problem in my own way but I need help.

Consider a point A located on a sphere of unit radius. The polar

axis of the sphere, z on my picture, is vertical. The two spherical

coordinates of A are TET (polar angle) and PHI (azimuthal angle).

Another polar axis, z', is chosen. Its orientation, in the old frame,

is specified by ALPHA (polar) and BETA (azimuthal). How are new

polar coordinates, TET' and PHI', expressed in terms of old polar

coordinates? I realize that the transformation is not as simple as

for xy and x'y'.

Ludwik Kowalski

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