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Dan
What language was the calendar in? That's a first step to get the latitude. 
Was the time of sunrise/sunset by day or by month average?  
Was the time midnight-to-sunrise and midnight-to-sunset equal for each 
measurement?  That would indicate if the calendar was using solar or mean time. 
N.B. in 1783, France was still using solar time (or so I think) while Britain 
had, by then, generally shifted to local mean time - the transition was slow.

An interesting little problem. By 1793, the knowledge of astronomy was very 
advanced in many European countries.

Let me know if you want help with a number-crunch. I have all the necessary 
routines in Python and could try every possible combination with little 
difficulty....

Bear wishes
Kevin

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