80 O. E. SCHI0TZ. [NORW. POL. EXP. 



For the positive masses on the slope itself: 



- 2 ) cot v,) log.nat. 2 



cot. *,)log. nat. + a*- 



for the negative masses beneath: 



o, (2 + !-(/*! -|i-) cot v, 





 arctg El _ 







+ 



_j 



Here ^ = ?i 1, where ?! is the density in the upper part of the solid 

 earth's crust, V the angular radius of the circular coast-line, v, = V + /?i 

 the angular radius of the line parallel to the latter along the base of the 



slope at the bottom of the sea, c 2 = -^ , and ! == -sr 



Jf -flo 



If we assume the slope to be as steep as that on the west coast of North 

 and South America, namely 1 in 40, the result is found to be 



sin V 

 where , = 1 16'.4; if we make // = 20, as in the case of South 



