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Actually, I'm still right.
Read the other thread about this. Your mistake here is to define a straight line in terms of a geodesic space (the surface of a sphere) and then change your metric to a 3d cartesian space (nearly
). If you change metric, then straight-lines can become non-straight (strictly, the functional definition of a straight line is different in different numeric spaces).
Analogy: Take 2 boxes(A, B), put one on top of the other. You can now state S1: A is above B.
Now stand on your head, now you can say S2: B is above A
logically, S2 does not invalidate S1, you have just changed your frame of reference.
I read the other thread just after having submitted my post... *sigh* (spank me, I'm Zoot
)
Anyway, I don't agree with the redefinition of "straight line". A straight line doesn't bend
- one can argue that a bended line is straight, but it can also be argued it is no longer straight. It can also be argued that the straight line I drew on the globe isn't a straight line since it bends too.
It all depends on definitions. Lovely, isn't it? 







Member since:
2005-10-02
It's not necessarily true. Take a globe and draw a straigt line between London and Ney Work and I dare say it is not the shortest route (because Earth is somewhat roundish).