Sara,

For sundials, although not your question, I calculate antique hourlines
point by point.
Then it's good to see that at higher latitudes the lines aren't straight
lines.

For a tympan of an astrolabium I draw them as arcs by deviding the daylight
parts of the solstice circles and equinox circle in 12 parts.
So I find three points to draw each hour arc.

On the dorsum af an astrolabium often a famous circular construction for
antique hours is found, however, not correct for times other then at the
solstices and equinoxes.

For a quadrant I never have constructed the antique hourlines.

I did construct such lines in a nomogram as done by Peter Apian or Johann
Stab and others as you may read in Compendium vol.5 nr. 4 december 1998.
There the line representing the daylight part is devided in 6 equal parts.

In the book by Joseph Drecker, Die Theorie der Sonnenuhren, 1925,  you may
find analytical formulae for the antique hourlines but not practical for use
in construction of a sundial, quadrant or astrolabium.

I hope this is of help to you.

Best wishes, Fer.


Fer J. de Vries

De Zonnewijzerkring
mailto:[EMAIL PROTECTED]
http://www.de-zonnewijzerkring.nl

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Eindhoven, Netherlands
lat.  51:30 N      long.  5:30 E

----- Original Message -----
From: "Sara Schechner" <[EMAIL PROTECTED]>
To: <[email protected]>
Sent: Thursday, May 29, 2003 2:55 PM
Subject: unequal hour lines


> Hi,
> I am working on a project that involves the traditional unequal hour lines
> (also known as seasonal and temporal hours) on a horary quadrant and an
> astrolabe.   In other words, I want to get the right arcs for use on an
> instrument that measures altitude of the sun and makes use of a solar
> declination scale along the radius of the instrument.  These arcs would be
> latitude specific, as on traditional instruments.
>
> What techniques have list members found to construct them?  Do you use
data
> points plotted?  geometric construction?
>
> Thanks for the advice and input!!
>
> Happy Dialing,
> Sara
> 42.38 N, 71.13 W
> Sara Schechner, Ph.D.
> David P. Wheatland Curator
> Collection of Historical Scientific Instruments
> Harvard University, Science Center B-6
> 1 Oxford Street, Cambridge MA 02138
> 617-496-9542 (Tel)
> 617-496-5932 (Fax)
>
> -
>

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