Penny Dreadfuls, 1897 · page 156 of 316
Penny Blood: Serial Sensation and Working-Class Entertainment — page 156: what you’re looking at
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CH. x.] DISTURBED TRACT. 139 If z is considerable compared to M, we see that MM’ is less than M, and the centre of gravity after transference is nearer to the vertical through that of y,, y, than it was before. But since M must be always much larger than z, it will not approach very near to it. For instance, even if z= 4M, M’ would be 3M. This result shows that the rotation round Q@’, which will depress the centre of gravity of 2+ 2, would not be likely to bring up any of this sediment above the sea level, unless # + 2 was spread out very thin, so that its western boundary con- siderably overlapped the point G’. But although an elevatory effect upon the newly deposited sediment can hardly be expected to result from the rotation of the tract round G"’, nevertheless there is a further considera- tion which leads us to expect that this consequence will follow upon the transference of sediment from a distance, for the following reason. It is evident that we must regard the tract under considera- tion, whose volume was kl (1+e) before it received the new accession Z, as now become kl(1+e) +2. Hence, if 3% (a) and > (6) become now % (a’) and > (4’) we have, neglecting the effect of the ocean’, % (a) - 3 (b') =—— (kle + 2); “ 3 (a’) -—3 (a) -{3 0) -— E(B} =—F «. Tc We see then that the absolute volume above the upper mean level, and therefore probably also above the ocean, is in oP z, or by Cc about ;,th of the new accession of material to the tract. In a similar way it appears that the volume below the consequence of the accession of z increased by lower mean, or ¥,—y,, must be increased by c z,or by ths of the new accession. Although therefore there will be an ad- dition to the absolute volume above the upper mean level, and 1 See the last equation on p. 116. GONG oOo SS (CO)