599 



the actual state of things on the average, permits of calculation 

 without too much labour. The expression of this law involves three 

 arbitrary constants, representing depths at particular places, of which 

 the various deflections are linear functions. He next calculates nume- 

 rically the coefficients of the arbitrary constants in the expressions 

 for the various deflections, and then proceeds, guided by the pro- 

 babilities of the case, to make further assumptions as to the ratios 

 of two of these constants to the third ; and lastly, as to the numerical 

 value of the remaining constant. The general character of the assump- 

 tions is, that at a point 36 south of Cape Comorin, and in the meri- 

 dian of the measured arc, the depth is assumed to be three miles, 

 and the bottom is supposed to slope down towards this point according 

 to a certain law. 



The following are the deflections obtained at the various stations. 

 The fifth station (called Near-Goa) is a point half-way between 

 Punnae and Karachi : 



At Kaliana. . . . deflection North 6"-18 deflection East 0"'09 



Kalianpur. . 9 '00 -48 



Damargida-.. 10 '44 1 '80 



Punnse 19 '71 2 -19 



Near-Goa.. 13 '83 2 '79 



, Karachi 9 '99 West 1 '26 



The author then proceeds to correct the ellipticity, as deduced 

 from the Indian arc, for the defect of ocean as well as the excess of 

 mountain attraction, and obtains 



Corrected ellipticity =0-00361 4 =i-, 



which is nearer the mean ellipticity than was the value obtained by 

 correcting for mountain-attraction alone. 



He then proceeds to calculate the rise of the sea-level at Karachi 

 above that at Cape Comorin, and obtains 



From the defect of ocean attraction 448-25 feet. 



From the excess of mountain attraction .. 66*32 



Total. , 514-57. 



