Dear Alastair,

Many thanks for your kind words...

> Your design is wonderful...

I hope you enjoy the book.

You ask...

> ... have you come across the term 'azimuth
> circles', how would you define this term?

I have heard this term in several contexts.

In an astronomical context, any great circle
that runs from your local zenith via the
horizon down to the out-of-sight nadir is
sometimes called an azimuth circle.  As it
happens, I call this a vertical circle;
that's just habit but see later.

In another context, I actually OWN an
azimuth circle...

I have an army marching compass (magnetic)
which has an annular ring supporting the
glass cover.  The instructions call this
the "azimuth circle".  There is a radial
line on the glass marked in luminous paint!

The idea is that if you want to march
towards some distant point, you aim the
body of the compass at that point and then
twiddle the azimuth circle so that the
radial line covers the large N for north
on the compass card.  This N is also in
luminous paint.  I expect the whole thing
is radio-active!

You then walk along (er, MARCH along)
keeping the line on top of the N.

A more common azimuth circle is the
horizontal graduated ring on a theodolite
which enables you to determine the difference
in bearing between two terrestrial objects.

More generically, an azimuth circle seems
to be any ring which is mounted in a
horizontal plane and which can either be
twiddled round itself or it is fixed and
something else rotates round within it.

In my opening example this means the
entire horizon is an azimuth circle;
it runs round all the vertical circles.
That's one reason I call them vertical
circles rather than azimuth circles!
Some technical terms can be confusing :-) 

I expect Mr Google can give you more
examples.

Very best wishes

Frank

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