*8 



Observations on the-l^leasurement of 



Second Table of successive Lilerimls between Ike Eastern 

 Stations. 



Names ot the Stations. 



Glifton 



Griinilcy 



Sutton 



Hoilaiul Hill 



Bariion Hill...... 



Arbiiry Hill 



Brill 



Nuffield 



Bagshot 



Hindhcatl 



BiUser Hill 



Dunnose 



Arcs iu Toises. 

 0,0 



2S09,10.J 

 10838,816 



46S 1,190 

 18092, 261 

 279.')6,417 

 22374,106 

 14350,3834 

 12137,933 

 14^19,5027 



7833,044 

 20514,036 



Arcs in Seconds. 



0,0 



177,149 



1061,931 



29.5,22.51 



1 141,0462 



1763,2683 



141 1,2769 



905,2135 



765,6822 



91 1,5 140 



495,4551 



1291,1974 



Sum total 162037,0941 10221,9607 



Now if we take the arithmetic mean of" the sums con- 

 tained in the two tables, we have tor measures oi the entire 

 arc, comprised between the stations of Clifton and Dun- 

 nose, the following quantities 162057,32 toises, and 

 10221,972 seconds of a degree, or 2" 50' 2l",972. By 

 dividing the former of these by the second, we get the 

 measure of a degree, corresponding to the mean latitude 

 Oi" the whole arc, equal to 37073,74 toises, or 60826,34 

 fathoms, at the temperature of l6^-° of the centigrade ther- 

 luometer, the latiiude being 52^ 2' 20". 



The station nt Arbury Hill happens to be very nearly in 

 the meridian of Clifton and Dunno.se, and divides the in- 

 terval between ihem into nearly equal parts. The measures 

 of that part of the arc which lies betvveen Aibury and 

 Dunnose, is by the tables 9l679;47 loiscs, and 9783'^,34 

 seconds, or 1^ 36' 23", 34 of the common division of the 

 circle. The mean latitude of the arc is 31° 23' 21". And 

 the measure of one degree corresponding to it is 37068,41 

 toises. 



In the same manner the measure of the arc comprised 

 between Arbury Hill and the northern extremity at Clifton 

 is 70377,85 toises, and 4438,63 seconds, or 1" 13' 38",63. 

 Its mean latitude is 52° 30' 32". And we have for one 

 degree of the meridian, corresponding to this latitude, 

 57080,70 toises. 



Hence, if we divide the entire arc into two equal parts, 

 we deduce the following values of a degree correspoitding 

 to the middle of the whole and of its parts. 



Latitudes. 



