Arthur Carlson wrote:

> Chris Lusby Taylor <[EMAIL PROTECTED]> writes:
>
> > Another approach would be to have a ring for each value of the
> > EoT. That turns the figure-of-eight hour lines into a
> > figure-of-infinity date line. Having found today's date one follows
> > the ring it's on to read the mean time directly from the shadow.
> > This should be easy to use. The hour lines could be almost straight.
>
> This would work with an axial gnomon, where the direction of the
> shadow does not depend directly on the declination.  I haven't done
> the math(s) in detail, but I don't think it would work with a vertical
> gnomon because the azimuth of the sun depends not only on the hour
> angle (Equation of Time) but also on the declination.  In other words,
> the direction of the shadow at a particular time depends on the date
> for two reasons (EoT and declination) with different dependences on
> the date.  Consequently, it would be a great exception if two dates
> could share the same time markers.
>

You're right, Art. I wasn't thinking of the vertical gnomon with which, as
I now
recall, we started. It only works, as you say, with an axial (polar)
gnomon.


Chris Lusby Taylor,
Newbury, England
51.3N 1.4W

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