Penny Blood: Serial Sensation and Working-Class Entertainment — page 122: what you’re looking at

Machine-transcribed from the original scan — historical spelling and the odd misread are preserved.

CH. 1Xx.] : CRUST NOT FLEXIBLE. IO5 Now at an anticlinal we know that p=gpé, and (in the case we are now considering) cos@=1, and these are the values which these quantities assume there when ds is indefinitely diminished. Hence at an anticlinal the above becomes in the limit gps _ gpk" that 18, when the curve is horizontal at an anticlinal, 6 =k. - This condition evidently belongs to the case of a crust lying horizontally upon the liquid, which is a particular case of the general problem. In this instance the difference of the maxi- mum and minimum ordinates “P E(k — 5) as found p. 103 vanishes, . as it ought to do. Next consider the second case, viz. when R=Q. In this case jf =0 since f measures RZ. The relation f= 0 shows that there is no compression at the anticlinal. In this case tan @= 5 takes the form of = , The origin of co-ordinates is by the same relation for f brought to the level of the anticlinals. Our equation (A) now becomes, suppressing the dash over the y, dx 3 pky = — pby +" =—D; Co 2 in P'Y-—Z —D ee ds = Wy ° This expression shows that D=0, otherwise ~ (or cos 6) would be infinite at an anticlinal where, reckoning from the newly-determined origin, y = — f= 0. GONG oOo SS (CO)