Not only does it increase the least count of the scale, but it tends to average out the errors of the scale like ellipticity and eccentricity, because there is always 360.000000000000000000000000000000 degrees in a full circle.
cheers, Neville Michie



On 22/08/2009, at 7:33 PM, Magnus Danielson wrote:

Sanjeev Gupta wrote:
On Sat, Aug 22, 2009 at 15:19, Ulrich Bangert <df...@ulrich- bangert.de>wrote:
 Which in turn lead to the invention of a new class of surveyor
instruments, which in turn enabled the French to measure the distance from the equator to the north pole (assumed to be 1/4 of the circumference) with a precision that must be admired even from a today point of view. I do not know the english term for it but in German these instruments are called
"Repetitionskreis". You can find a pictue of one here:


http://www.bistumsmuseen-regensburg.de/html/ ausstellungen_moenche_repetition skreis.htm<http://www.bistumsmuseen-regensburg.de/html/ ausstellungen_moenche_repetition%0Askreis.htm>

That sounds like the Repeating Theodolite, used for the survey from Dunkirk
<-> Paris <-> Barcelona
http://en.wikipedia.org/wiki/Repeating_circle
The basic idea is to mark out repeatedly the angle to be measured, but actually measure the sum, _only_ at the end, which you then divide. It gives you the arithmetic mean of the value directly. The major advantage over doing this mechanically, rather than adding it up in your notebook, is
a that you have reduced the least-count of your graduated scale.

Cool. I completely understands it yeat, it was new to me. So now I know what I learned today.

Thanks Sanjeev!

Cheers,
Magnus

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