80 0. E. SCHIOTZ. [NORW. POL. EXP. 
For the positive masses on the slope itself: 
F, =feky a, je a |e- 6, cot v1) arelg = 
sin Wy 
Bay 
1 
238,.°2 (8; — @,) cot w,) log. nat. «7, + 
+(5 
2 2 
+ (28 5 te —;4—4 cot. y,) log. nat. 8? + «3 — 
U2} 
(BE Pea es Su oes nat. 2,5 
2 
for the negative masses beneath: 
a, (2— 8B, cot wi) ees 
GQ, — 
sin yy ea + a, at 
FF, =fo Ry a, sin W> E 3 cot yy 
igo 
a, (2+a,—(8, — v7 ) cot ;) oe 
+ ae — arctg 
1— B, cot y, +7 
; 1— 8, cot » a} ma eo) 
nae os 1 log. nat. Does oe ays = ree log. nat.a, — 
eee a Bi 2 
(81 —a,)(1+9°)—Bilg — 42) cot, += 
a eee ae) log. nat. Vz ta, + 
2 a B? 
(83 — af (1+ G)— A, (FE —a}) cot v, ere| 
+ Rares) log. nat. Ve27+ a7]. 
Here 9 = 9, — 1, where g, is the density in the upper part of the solid 
earth’s crust, w) the angular radius of the circular coast-line, ¥y, = , + 6, 
the angular radius of the line parallel to the latter along the base of the 
zak, Beas 
slope at the bottom of the sea, a. = R,’ and a, = Ta 
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 
B= FF (0, = 4) Re es yin (ro + Ba) 1468, 
SIN Wy 
where 6, = 1°16°4; if we make yw, = 20°, as in the case of South 
