Dear Pierre,

On 2010/10/20, at 00:27 , Pierre Abbat wrote:

The length of the pendulum in standard gravity is 993.621 mm. The difference
between that and the meter bar would be immediately obvious to the
metrologists of the time,

The idea of "standard gravity" had not really developed in the 1780s when Thomas Jefferson and the French "philosophes" began to address this question. The French people did their pendulum experiments mostly in Paris (with the Paris latitude and longitude, and elevation above sea level). Jefferson, on the other hand, probably did his experimentation at his home of Monticello in Virginia. However, it was probably Jefferson who negotiated the idea of a pendulum at 45° North latitude (and at sea level ??) and this definition then evolved into the concept that we now know as "standard gravity".

whereas the difference between the fraction of the
meridian and the meter bar is less than a millimeter. (a(1) means arctangent
of 1.)
9.80665/(a(1)*4)^2
.99362138556613170634

As they say in showman's circles, "Close, but no cigar!" I don't think that the longitude measure was ever accepted by the Academy of Science so they never recommended this definition to the French government.

Dunkirk to Barcelona is about 1/40, not 1/10, of the earth's circumference.

Could I see your calculation, please. The road distance from Barcelona to Dunkerque is 1329 kilometres, and I worked from there. See http://maps.google.ca/maps/ms?ie=UTF8&om=1&oe=UTF8&msa=0&msid=102676733516280739492.000001124006a1f2543c7

Btw, my father said Calais to Perpignan; any idea where that rumor started?

I think that this was part of the Frenchification of the metric system over the years. Perpignan is on the French side of the Spanish-French border so a nationalist in France could then claim that the metric system was wholly French. This went with that other fallacy about the measurement of the line of longitude that "passed through Paris"; a direct line from Barcelona to Dunkerque goes close to, but not through, Paris.

As you know the invention of the metric system by Bishop John Wilkins occurred in England. The French philosophes in the Academy of Science probably knew this as they were very keen in the 1790s to develop a "decimal metric system" for the whole world. This is why they chose the line from Dunkerque to Barcelona to give it some international credibility (and it was the longest North-South line available to them on land). It is also why they worked so closely with Benjamin Franklin and Thomas Jefferson in the USA in developing the "decimal metric system". See http://metricationmatters.com/docs/USAMetricSystemHistory.pdf and why they put in considerable political effort to work with Sir John Riggs Miller, a member of the UK government, to develop a joint approach to measurement reform for the whole world.

Cheers,

Pat Naughtin
Author of the ebook, Metrication Leaders Guide, see 
http://metricationmatters.com/MetricationLeadersGuideInfo.html
Hear Pat speak at: http://www.youtube.com/watch?v=_lshRAPvPZY
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