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Authored by: Anonymous on Wednesday, July 04 2012 @ 09:50 PM EDT |
I am also not a geometrist, but work a lot with differential geometry and
"computational geometric optics" :)
Now imagine this: take a mapping from R2 to R2, lets say cartesian coordinates
to polar or even spherical ones. If you take polar, you will have a circle line,
of course it has finite lenght, but you will be able to walk along it for the
rest of our life and even more, so I would take it as infinite. Now change the
mapping function, and that line can become a point. The same with spherical
coordinates.
SALUDOS
ALVARO l[ Reply to This | Parent | # ]
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Authored by: celtic_hackr on Thursday, July 05 2012 @ 12:34 AM EDT |
Hence a line segment cannot be zero length, as two points cannot occupy the same
space. You are confusing a point with a line segment. A point has: zero length,
zero width and zero height.[ Reply to This | Parent | # ]
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Authored by: Anonymous on Thursday, July 05 2012 @ 05:01 PM EDT |
In either event, there's a difference between having no length and having zero
length. The latter's measurable, the former not.[ Reply to This | Parent | # ]
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