Penny Blood: Serial Sensation and Working-Class Entertainment — page 190: what you’re looking at

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

CH. XIII] AMOUNT OF COMPRESSION. 173 Again, for a section across a disturbed tract of unit of width we have the two relations’, > (a) — 3 (b) = — — kle +© = {81 — & (d)}......-.-(1), and. | > (8) —>% (a) = = kle—© {8 U — 3 (d)}... se eceeseeeee(Q), If instead of a section of unit of width we substitute a rectangular area of length J, and width w, these equations become’ > (A')-3(B)= 2—F oklwe +* ~ {8tw — %(D)}, and >(Y)- 3(X") =? 2klwe —— {8lw — > (D)}. As has been shown for 5 — >,(d) in the case of unit of area’, so it is evident here that dlw — >(D) is the water displaced by rock owing to the elevation; / and w being the length and width of the disturbed tract, and > (D) the volume of any water which may happen to lie over it. We have then the proportion 2(A)-3(B -= {Slw — & (D)} - S(¥)-=(X) +6 (Slw- =D) F Now it is evident that the same proportion will hold for the area of the whole globe. In this case the “tract” becomes the entire area (for there is nothing in our reasoning to confine the relations (1), (2), to any particular portions of it whether dis- turbed or not). %(D) then becomes the whole ocean; Slw —>(D) becomes the water displaced by all the elevated regions, and we will assume this to be equal to 6, where Z 1s the area of the land ; the reasons for which assumption will appear by and bye, 1 Pp. 116, 117, 2 See chap. v., p. 49. 8 See chap. x., p. 116. GONG oOo SS (CO)