180 



the data to which he had access, the author assumes, as the best 

 general representation of the facts, that to the north of a line run- 

 ning through Leh and H'Lassa the doubtful region slopes gradually 

 from 10,000 feet down to 2500 along a parallel line nearly in its 

 centre, and then rises again at the same angle to the north, and that 

 the portion to the south of the line first mentioned, and not included 

 in the known region, slopes at four times that rate. 



The author then proceeds to numerical summations replacing an 

 integration to be extended over the whole of the enclosed space. 

 The breadth of the lines employed in the calculation is taken at 30, 

 which is shown not to be too large to give good results. The fol- 

 lowing are the results obtained : 



Arising from 



Known Doubtful 

 Station A, Kaliana. T( & on ' region. Total. 



Deflexion of plumb-line in meridian 12-972 14*881 27-853 

 Correction of same for every 100 j Q ^ Q ^Q Q 



feet of change in heights .... j 

 Deflexion of plumb-line in prime 



8-136 8-806 16-942 



vertical J 



Station B, Kalianpur. 



Deflexion in meridian 3'219 8'749 H'968 



Correction for 100 feet 0'059 0'158 



Deflexion in prime vertical 0'789 3-974 4*763 



Station C, Damargida. 



Deflexion in meridian 1-336 5-573 6*909 



Correction for 100 feet 0'022 O'lOO 



Deflexion in prime vertical 0*000 2*723 2'723 



whence there results, 



Total deflexion at A=32'601, and in azimuth 31 18 East. 

 Total deflexion at B= 12*880, and in azimuth 21 42 East. 

 Total deflexion at C= 7 '426, and in azimuth 21 31 East. 



Difference of meridian deflexions at A and B= 15-885. 

 Difference of meridian deflexions at A and C= 20'944. 

 Difference of meridian deflexions at B and C= 5*059. 

 The first of these differences is considerably greater than 5"-236, 

 the quantity brought to light by the Indian Survey. 



