The Answer:
For years people have looked at 12th century medieval glass windows and determined
that the reason some are thick at the bottom is that over time gravity
causes the glass to "flow" towards the bottom of the frame.
Although glass may "flow" if heated enough, this idea that there
would be recognizable flow at room temperature after a few hundered
years is completely untrue.
Physicists who have put this theory to the test say it would
take millions (not hundreds or thousands) of years for there to be any
noticeable change in the glass at room temperature. A study published
in the American Journal of Physics went so far as to say that the
period this phenomenon would require is "well beyond the age of the
universe."
The variations in thickness in these windows can, instead, be
attributed to how they were manufactured. Apparently it wasn't easy
making flat plates of glass centuries ago.
Sometimes glass would be poured into molds. Other times glass
blowers would make a sphere and then spin it vertically very quickly
to flatten it out. Niether technique resulted in perfectly flat panes
of glass. Either way it would make sense to us that a window maker
would install the thicker end of the glass at the bottom of the
frame.
Here is a link to more information about the science of glass:
Physics
FAQ
—The Editors
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