Reynolds, Osborne, 1842-1912, Brightmore, Arthur William, 1864-, Moorby, William Henry, 1872- · Cambridge [Eng.] The University Press · leaf 212
^^ Let AB, AG, &c. the generating lines ofthe conical surface be the lines of no con- ^^ traction. Put0 = OAB, (f> = (JAG, Ljj = AB, L^ = AG. ^ Fi<y. 2.Then a = i^cos 0 = Lc cos (f) ) b^Lj,sme=G = Lasmcl>] ^ ^^ _ = _X£sin6, ^ = -i:^,sin(/) (316), V=-^.a.b.c = -^.a. Lj^L^. sin 6 sin… … 188 ON THE SUB-MECHANICS OF THE UNIVERSE. [207 Whence it appears, since 6 = (f> and cot 6 diminishes as 6 increases, we havefor the maximum coefficient cot2|9-f cot2<^-l = l,and this is when the axes of no contraction are inclined to the axes of dis-tortion at 45°. Further, it appears that as…
