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Zarkov
To continue on from a point made by a poster in "Mathematics, Discovered or Invented"

Precursor562
QUOTE

Lines on a globe. The latitudinal lines are parallel and they intersect the longitudinal lines at right angles. The longitudinal lines therefore must also be parallel and they meet at the end, right? WRONG. It completely ignores the fact that the lines are on a curved surface thus they are not truly straight and so they are not parallel. Can lines be drawn on a curved surface and be truly parallel? Yes and the latitudinal lines are a perfect example of that. However the longitudinal lines intersect the same latitudinal lines twice (since all these lines form loops) at exactly the opposite side of each latitudinal line. In order for this to happen and maintain a 90 deg intersection the longitudinal lines must converge then diverge twice (at opposite ends which is your north and south poles).

It is possible for the longitudinal lines to maintain the 90 deg intersection and remain parallel. They must simply give up intersecting the same latitudinal lines at opposite ends. Simply take the existing latitudinal lines and rotate them about the sphere 90 deg. This will give you a new set of lines that are just as parallel as the latitudinal lines and will intersect with the latitudinal lines at a 90 deg angle.



Since all cosmic bodies in the Universe "orbit" ie they travel in curved lines

Does light from say a star source travel in curved lines, and therefore does a light ray eventually cross its own path ?

but since the source is constantly moving, maybe the trace might be more like a spirographic image.
Bloy
QUOTE
Zarkov
but since the source is constantly moving, maybe the trace might be more like a spirographic image.


I would be careful using the terms "constantly moving"...

Mathematicians will quickly refute that there is any time element involved. wink.gif
Either they are parallel or they are not parallel.
Zarkov
QUOTE
Either they are parallel or they are not parallel.


well since there is no such thing as a straight line
then there can not be any parallel straight lines...

so it could be that parallel is an anthropogenic artifact, much like stillness.

So as far as motion goes, yes time does not exist, but everything in the Universe is never standing still... it is continually under the influence of action and reaction..... like a vibration that never ends.

Energy is neither created or destroyed, just recycled.
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