First off, I must make it clear I am talking
of portable equatorial dials. Unfortunately,
as these usually collapse into a ring shape,
they are sometimes called ring dials (even
by the best authors), thereby becoming
confused with the simple single ring dial.
Bryan Loyall asks what the sliding
gnomon-hole achieves. Here is an answer.

On a fixed equatorial dial the gnomon is a
wire along the N-S polar axis. On any day
only one point on the wire casts its shadow
on the dial. That point depends on the sun's
declination: in the summer it is high up the
wire, in the winter it is low. If the wire
has, say, a bead at the correct point, the
bead's shadow stays exactly on the dial all
day.
Imagine now what happens if the sundial is
turned, so that it is not aligned N-S. The
bead's shadow will move off the dial. So, if
we pick the dial up and move it, we can
always find both south and the time by
turning it until the bead's shadow is on the
dial.
The only slight snag is that we cannot
immediately distingush between some time
after noon and the same length of time
before noon, but if we wait a few minutes we
can see if the bead's shadow stays on the
dial or moves off.

The portable sundials which use this
principle usually have but a small hole in
the gnomon plate, which can be moved up or
down the polar axis according to the sun's
declination for the date. If the sundial's
suspension point is adjustable for
longitude, the dial is truly universal.

Hope this helps
Chris



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