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Daryl,
I spent several hours reviewing your thoughts in my mind and trying to get a mental picture of it. I think perhaps i can offer a somewhat more easier illustration of why it is not so. But not as eloquently as Gary and yourself.
If you take a Clock and place it level on the ground at the pole. Walk along the 12 hour line to the equator and place another clock such that the 12 hour line aligns with the one at the pole. You will note that though the 12 hour line is the same the 3'o clock (or for that matter any other hour) line is not aligned. You would have to tilt the clock face 90degres to get them to align.
I hope that makes sense.
Regards
Fahim
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