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



For the positive masses on the slope itself: 



= f<>Ra z ^-^ cot ' 



2 r sin v 



for the negative masses beneath: 



-I -- -- arete' 

 a <* 



2 ) COt Vi 



l ) -0iR- -?) cot 



"l _j 



Here ^ = j 1, where p t is the density in the upper part of the solid 

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

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



slope at the bottom of the sea, 2 = -=r, and a l = ^. 



MQ MQ 



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 



F - F n = f ( 9t - 1) fl o a lMn*fi_^i 1163, 



sin V 



where ^ = 116'.4; if we make if> 20, as in the case of South 



