Hello Bryan,
Cut to the chase. Use the trig equations directly. Solve with a simple
scientific calculator. No worries about logs or radians.

My background is similar to most of the others who provided good advice on
old fashion methods.  Over the last 50 years I have junked log tables,
sight reduction tables, my log log slide rules and most of my old
programmable calculators.

Welcome to the arcane abstruse world of sundial design.

Roger Bailey, Peng
Walking Shadow Designs
 Sidney by the Sea, BC

On Mon, Aug 8, 2022 at 10:50 PM Bryan Mumford <[email protected]> wrote:

> I’m working from Albert Waugh’s book “Sun dials, Their Theory and
> Construction”. On page 45 he presents a method for computing hour lines. I
> lack significant math skills, but I know how to work Excel. I don’t
> understand how he is calculating these values.
>
> He says, for example, that “log tan t” of 7°30’ is 9.11943.
>
> In my simple-minded way I asked Excel to show me log(tan(7)) and got a
> very different value.
> I tried converting 7°30’ to radians and that didn’t get any closer.
>
> How can I calculate "log tan t" or "log sin latitude” with Excel to get
> the values he shows?
>
> I anticipate further problems with the last two columns, but you have to
> start somewhere….
>
> - Bryan
>
>
>
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