Penny Blood: Serial Sensation and Working-Class Entertainment — page 154: what you’re looking at

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

cu. x.] DISTURBED TRACT. 137 know that, whether the mass be rigid or not, p x whole volume =o x volume immersed. And, since the centres of gravity of.these volumes must be in the same vertical, if we multiply each side of the above by _ the distance of its corresponding centre from any assumed vertical we have, considering the moments about that vertical, p x moment of whole volume =a x moment of volume immersed. Let A be the volume which before denudation stood above the ocean level, and, as already supposed, let a mass @ be denuded off it, and carried down towards the east, and let another mass z be also brought from a distance and deposited along with x This, as has been explained, will tend to depress the tract on the eastern side, and to raise it on the western, and our object is to determine as far as possible the situations and amounts of the depression and elevation. Let y, be the additional volume of crust depressed beneath the lower mean level on the eastern side, and y, the volume by which the portion previously depressed is now diminished on the western side. The whole volume beneath the lower mean level will now be B—y,+y,- Let us call the horizontal distances, from the assumed vertical, of the centres of gravity of the volumes A, #+2, y,, y,» respectively A, a, ¥,, Yq. Let B be the volume of the tract which is exclusive of A, and 8 the volume at first below the lower mean level; B and: B the distances of their centres of gravity from the assumed vertical line. Then the relation just proved gives us, before the transference of sediment, p(4.A4+B.B)=c8.B8. After the transference of « and deposition of z, .A becomes A~—«x, and we may suppose the distance of the centre of gravity of the diminished A to be unaltered by this change, B and B remain as before. § is diminished by y, and increased by y,. Hence the relation of the moments will now be p{(A—a)A+(c+z2)c+B. By=a (8.B—-Y,-y,+ YoY) GONG oOo SS (CO)