Dear fellow dialists,

I am forwarding this inquiry I received privatly from Yaaqov Loewinger.  It
seems right up our alley.

Regards,

Art Carlson

-----Ursprüngliche Nachricht-----
>From [EMAIL PROTECTED] Fri Mar  2 10:21 MET 2001
Date: Fri, 02 Mar 2001 10:33:16 +0200
From: "Y. Loewinger" <[EMAIL PROTECTED]>
X-Accept-Language: en-US,hu,de-CH,fr-FR
MIME-Version: 1.0
To: [EMAIL PROTECTED]
Subject: Old equation of time:Equation d'Horloge

This is a multi-part message in MIME format.
--------------20215C5ACD79E9D29D96B5DD
Content-Type: text/plain; charset=us-ascii
Content-Transfer-Encoding: 7bit

Dear Mr. Carlson,
I read yr.  excellent article on the Equation of Time. I posted
following questions,  in the History of Astronomy Discussion= Hastro
group, and didn't get satisfactory answers. can you help me ? Thanks in
advance! ( you can write me- if you like , in German).

Subject:  setting of clocks prior the introduction of modern mean  time

            History of Astronomy Discussion Group
<[EMAIL PROTECTED]>



Dear List members,

Prior the introduction of modern mean time into civil life (round
1780--1830), modern equation of time (= EoT) and modern distribution of
time,  civilian  public clocks were set with the help of sundials.

But as clock time is by definition a mean time, I wonder to which kind
of
mean time were the  public clocks set generally, prior to, say 1780 ?

I see here 3 possibilities:

1. public clocks were simply set always to sundial time , without using
any equation of time tables. It seems that public clocks were set rather

often, say once a week, as their quality was rather poor and as in such
a short interval EoT changes only insignificantly, so it was simply
neglected.

2. clocks were set to "Nov. 3 mean time", as round this date modern
equation of time is maximal (~ + 16 minutes). So, beside  looking up
sundial time, tabular values of "equation of clocks" running from 0 (on
~Nov 3) to ~31( on ~Febr 11) min, were added to sundial time to get
clock time.

This "equation of clock" = in French: "equation de l'horloge" (EdH)" is
the old Ptolemaic equation of nychtemeron(=day and night) of the Handy
Tables.
As this EdH was tabulated in the 18 th century French almanacs
Connaissance des Temps, I guess they were widely used all over  Europe
(otherwise they would not have bothered printing it !).
Beside this EdH the French almanac of, e.g. of 1751, indicated also the
value of modern mean time at true noon, so modern mean time and modern
EoT were also in use. Which one, EoT or EdH were used for setting
civilian clocks ?

Can we assume that the EdH table was really used everywhere in civil
life in Europe, and  can we assume in historical research that time
indications in documents from the 18 th century mean " Nov 3 mean time"
?

See an attached diagramm of Equation d'Horloge.


3. the third possibility to set clocks was, to set them to "Febr 11 mean

time". Round this date modern EoT is minimal, ~ 14 min. If a clock is
set on that date to sundial time, so a "Febr 11 equation of days", which

runs from 0 ( on ~Febr 11) to 31(on~ Nov 3)  min, had always to be
*subtracted* from sundial time, to get clock time. Such equations of
days can be found till the 17 th century in astronomy books ( e.g. the
one of Huygens, near 1640), and it is also of Ptolemaic origin,
standartly used in the middle ages. They seem to be less popular than
EdH, perhaps because adding of EdH  seemed to be easier for clock
setters.

To sum up my question: can we assume that a standard church clock, say
in
Central Europe, was set to November 3 mean time, still in the late 18 th

century?

Best regards


Yaaqov Loewinger, dipl.ing. ETHZ


--
Y.  L o e w i n g e r
mail    : P.O.B. 16 229 ; 61 161 Tel Aviv / Israel
tel.    : 972-3- 604 61 79; ++ 523 98 33
fax     : 972-3- 546 90 76
e-mail  : [EMAIL PROTECTED]


--------------20215C5ACD79E9D29D96B5DD
Content-Type: image/gif;
 name="EdH-curve-  with title.gif"
Content-Transfer-Encoding: base64
Content-Disposition: inline;
 filename="EdH-curve-  with title.gif"
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--------------20215C5ACD79E9D29D96B5DD--




Reply via email to