Mac,

Unless my memories of school physics desert me, whilst a ray of light is
bent towards the normal on entering the glass (because of the change in
refractive index), it is then bent back by exactly the same amount as it
exits the glass.  All that your three panes will do is to shift the ray
sideways, but it will still be parallel to the ray incident on the outside
of your window.

If your three panes are actually triple glazing, there may be vacuums
between the sheets which would mean that the ray in the gaps would not be
parallel to the incident ray (because the refractive index of a vacuum is
not quite the same as that for air).  The ray would be bent back more (I
think) as it emerges into the vacuum between the first two panes than it
would if it were going into air.  Having a vacuum both sides of the middle
pane, the ray out of the middle pane will be parallel to the one going into
it (though neither will be parallel to the ray incident on the outside of
the window).  Finally, the vacuum/pane/air combination of the last sheet
will reverse the change of angle effects of the first air/pane/vacuum
combination!

Ultimately, when it emerges back into the air, the exiting ray will be
parallel to the incident ray once again.
If you want to convince yourself further, I think the correct formula is
(sin i / sin r) = refractive index  where i is the angle between the
incident ray and a line perpendicular to the surface, and r is the angle
between the bent ray and the same perpendicular.

Hope this helps!

David Higgon
London

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