Penny Blood: Serial Sensation and Working-Class Entertainment — page 128: what you’re looking at

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

CH. 1Xx.] CRUST NOT FLEXIBLE. point A is supposed for simplicity to remain fixed. Then the points B, C, D, #, F, G, upon further compression assume tae positions b,c, d,e, f, 9. If we now pass to the case of any rectangu- lar vessel, and suppose it to be compressed in two orthogonal directions, then the form of the corrugations in these two directions would be approximately governed by the laws we have investigated, provided the plane crust be supposed capable of adapting itself to a form not developable into a plane. And even in the case of a contracting sphere, the character of the corrugations may be assumed to be on the whole similar to that investigated, and they would be arranged about polygonal areas. The consequtience of the crust not being absolutely flexible would be, that 1t would rest within certain limits in forms either more or less curved than the proper surface of equi- librium, and it is obvious that the considerable ratio, which the thickness of the crust may bear to the radius of the festoon, renders the result of the investigation much more difficult of application to the case of nature than it would otherwise be. But we may use it for what it is worth. ) Still further, the general compression along a great circle will very inadequately represent what would occur when the compression over the whole surface has to be taken into account. It 9 & © mR ~ In short, the case of nature is so extremely complicated, that it is very difficult to reason satisfactorily upon it. Nevertheless the conclu- sions we have arrived at concerning the case of a thin heavy flexible crust resting on a perfect liquid, have a certain value as far as the results may be summed up in the following proposi- tions: (CO) i @ NOO (CO)