Geometry

From: Andrew Barton (100010.533@CompuServe.COM)
Date: Wed 07 May 1997 - 16:54:31 EEST


Owen Jones got his geometries slightly mixed:
 
>> Gloranthan compasses - You actually need three different compasses to
>> pin your location exactly, two will tell you that you are somewhere on
 
> Not in any geometry I'm familiar with, Euclidean or otherwise. Not even if
> you were willing to abandon the concept of the line as the shortest
> distance between two points. One of the fundamental axioms of any geometry
> is that two (different) straight lines meet at most once.
 
On the surface of the real world spherical geometry applies, a 'straight
line' is a great circle, and great circles meet -twice-.
 
Andrew
 
 
 

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