Bulletin 03.2 English summary
R. Hooijenga.
Contents of the May 2003 Bulletin, nr. 82
The meeting of 18 January 2003. Secretariat. 5
Twenty-two members attended. President Coenen discussed the 25th anniversary celebrations. De Vries
announced the new website and the CD with all the Bulletins of the last 25 years on it. – The Translation Rule
was explained using a large ball, painted with meridians and parallels, and a small sundial. Any sundial, however
oriented, may be translated to one spot on earth where it is a horizontal sundial. – Roebroeck brought slides on
his sandbox project: volunteers turned the 12m (39’) diameter sandbox into a brick sundial with split EOT loop.
– He also brought his armillary sphere, constructed by W. Westra (brass, stainless steel and plastic). Eugènes
design incorporates an EOT correction wheel. – Van der Hoeven explained how the Foster Point sundial design
is exact, unlike the Yabashi Point design which is an approximation. – Verschuuren found the sundial featured
on a 1991 stamp. It is “proper” sundial, an easterly decliner on a wall. – Taudin Chabot showed some Ipacity
paper kits he built. He also had an offline snapshot of our website on his laptop for people to have a look. –
Hollander brought samples of his business presents. After the sundial drinking glasses of last time, he showed
some metal models now. See also www.analemma.nl. He is also making a 6m (20’) spider dial in Lelystad. –
Lidi Schoorel tallied tens of kinds of “north” in literature. We managed to condense them to true, map, and
magnetic north. – A care centre in Coevorden (‘cow ford’) will get a 3x3m (10’ sq.) sundial. The date lines will
depict the brook, with the ford in the middle. Ceramic tiles will form the hour points. – Hans de Rijk gave away
quite a few copies of his “Impossible Worlds”. In a raffle, about half of those present won a copy.
The Annual meeting of 22 March 2003. Secretariat. 8
A new sundial in Vlissingen. A. Schoorel-Goedhart. 17
This is the analemmatic dial of the Apostolic Society. Their new church and the sundial were commissioned on
16 March 2003. Twelve year old Kevin van der Veen read the time at 12:25 hours.
The hour markers, 6 through 21, lie on an ellipse of 4 by 5.11 meters. Near the stone date scale, there is a
separate stone slab with directions for use. Triangular stones around the date scale represent the four points of
the compass. The area around the sundial is paved with square bricks. The surrounding buildings prevent the dial
from being fully sunlit at all times. On Saturday 15 March 2003, the dial could be read from 10:15 until 16:00
hours. Towards the summer, the irradiation will become more favourable. – Calculations by A. Schoorel-
Goedhart and F.J. de Vries. North-South line marked out by A.J.M. van den Beld.
An Introduction to Gnomonics, part 3. F.J. de Vries. 18
A good, general definition of a sundial would be “An instrument indicating functions of the solar co-ordinates”
(Deutsche Gesellschaft für Chronometrie). One of these functions is time.
Skipping a large part of history, Fer starts with the modern pole style dial (from the mid-15th century). On a
horizontal sundial, the angle between the style and the dial face, called style height, is equal to the local latitude.
Under the formalism of Fer's co-ordinate system, this would be a negative value for southern latitudes. The
perpendicular projection of the style on the dial face is the substyle.
Now Fer switches to an equatorial plane perpendicular to the pole style, defines the hour lines and their counting,
and calculates how many are needed with the famous cos T = - tan j .
tan d.
Noting that every mathematical plane defines two sundials, Fer constructs lines on the other side as well. This
would be an equatorial winter dial. – From the equatorial dial, through the hour ring, Fer arrives at the armillary
sphere. Over time, many more rings have been added to this design representing the equator, tropics, arctic etc.
Extending the hour lines of the equatorial dial to the intersection of the matching vertical and horizontal planes,
we find the horizontal and vertical sundials. Fer’s strict formalisms tell us automatically that on the vertical dial,
in the Northern Hemisphere, the hour numbers run counterclockwise.
This instalment concludes with the construction of a paper model of an instructional combination three-planesundial
from thin cardboard and a sate stick.
Bifilar sundial with moondial: Genk nr. 7. F.W. Maes. 23
A detailed description of this particular bifilar or “two-wire” sundial by Rafael Soler i Gayà. In general, bifilars
read the time at the intersection of the shadows of the two wires (or any other shadow devices). The ‘wires’ may
be straight or curved. The photos show some examples. Genk 7 has a normal style triangle, but the date is read at
the intersection with the shadow of a chain. Because of the catenary, the equinox date line is not straight but
curved. – The chain curve or catenary is the shape an infinitely supple string, when suspended between supports,
would assume. The general equation for a catenary is y = y0 + a/2 (e(x/a) + e-x/a), or,
if you prefer, y0 + a cosh(x/a).
Here, y0 = -37.67 mm and a = 107.67 mm.
The moon dial looks quite frightening, but the author explains its use. The moon dial reads apparent solar time,
not “apparent lunar time” as the visitors’ information would have it.
The
Eble’s Horoscope. F.J. de Vries. 28
Over time, possibly starting with the Navicula de Venetiis, several altitude measuring sundials were invented.
We know Capuchin, Regiomontanus and Apian card dials. Fred Sawyer described a hitherto unknown type,
called “Eble's Horoscope”. This patented design uses a different arrangement of the necessary scales. A picture
shows an L-shaped arm aimed at the sun, a leaded string, and a combined latitude and hour scale, set to the
correct date.
The relation between hour angle t and solar altitude h is: sin h = cos t cos j
cos d
+ sin j sin d. Fer now proves
that the construction of the Horoscope does indeed embody this equation.
An advantage of this construction is that the readout is better as no bead is used. However, the instrument suffers
from the usual altitude card dial drawbacks and no commercial version is known.
The Snellegem Mystery solved. F.J. de Vries. 33
The Snellegem, Belgium dial is a marble slab with a number of small horizontal dials for various cities and one
large one for local time. Obviously, the smaller dials all have a style for the latitude of Snellegem, but their hour
marks differ. The large style has been somewhat of a mystery – it was not obvious how it was used. Some
speculated that it was moveable, as in a shadow plane sundial.
This riddle is now solved. As ‘luck’ would have it, the large style had come off, enabling some playing around
with it. As it turns out, the style should go on the other way round to make a perfect pole style.
That way, the support still looks a bit odd, but recently, a second sundial by the same maker was found – it uses
the same support structure.
The 1730 plans for the Prinsenhof sundial found. F.J. de Vries. 35
One of the archive records of the Frisian Museum has the caption: “A drawing of a sundial with calculations
(1730), made for William IV, probably for the construction of the sundial in the Prinsenhof garden in
Groningen”. If we compare the plan to the present Groningen sundial, it is clear that the basis has remained the
same. The empty space in the bottom right was actually filled in with the design data and the names of the
makers, J. Doornbusch and G. Cramer; the motto over the sundial was not yet in the drawing. However, the
different kinds of lines on the sundial are clearly recognisable in the drawing.
For more on this sundial, see the Sundial of the Month for March 2003 on our web site.
‘Nothing beats Groningen’ (2). E.L.H. Roebroeck. 36
Eugène, less optimistic about the Groningen sundial pool than some, has some advice on the subject of the
Aduard dial. It is currently misaligned by almost a half-turn and could use two more hour lines.
Literature, 1459 t/m 1470. D.L.J.M. Verschuuren. 37
A few that tickled my fancy: 1459.1 Horsedrawn Time Transport for Differential Longitude Determination. The
Russian government had 68 chronometers transported from Hamburg to the Pulkowa observatory, in order to
determine the difference in apparent time, and therefore, in longitude. That of the Hamburg observatory was
already accurately known. 1459.5 Polar dial with accentuated surface. The dial face could vary in height to
consider the equation of time. 1461.1 Dear Sundialfriends! K. Schwarzinger is going to digitize the slide
collection. 1461.3 The 2002 contest. The problem: how should a plane sundial, at 50° latitude, be oriented in
order to receive sunlight equally long each day? 1468.1 A slip of the chisel. Apparently, Rohr mixed up his signs
in his sundial on the Maison du Cadran Solaire (Sundial House). Is that what the article says? 1470 “Home”
magazine, article “Sunshine is on time” by Judith Bakker. She refers to De Zonnewijzerkring and gives the
secretary’s address. Among 21 photos is one of a sundial by Holman and one of a dial by author Verschuuren.