CONTENTS. xiii 



PAGE 



52. On a simple proof of Lambert's theorem . . . . .410 



Report of the British Association for 1877, 2nd pt., pp. 15 18 



53. On the attraction of an indefinitely thin shell bounded by two 



similar and similarly situated concentric ellipsoids on an 

 external point . . . . . . . . . .414 



Cambridge Philosophical Society's Proceedings, Vol. n. (1871), pp. 

 213215 



54. On the calculation of the Bernoullian numbers from B 3 . 2 to B ff , . 426 



Appendix I. to the Cambridge Observations, Vol. xxn. (1866 1869). 

 App. I., pp. i xxxii 



55. On some properties of Bernoulli's numbers ..... 454 



Communicated to the Cambridge Philosophical Society (1872). Vol. n., 

 pp. 269270 



On the calculation of Bernoulli's numbers ..... 454 



Crelle's Journal, Vol. 85, pp. 269272. Report of the British As- 

 sociation for 1877, (Sect.), pp. 8 14 



56. Note on the value of Eider's constant ; likewise on the values 



of the Napierian logarithms of 2, 3, 5, 7, and 10, and of 

 the modulus of common logarithms, all carried to 260 places 

 of decimals .......... 459 



Proceedings of the Royal Society, Vol. xxvn. (1878), pp. 88 94 



57. Supplementary note on the values of the Napierian logarithms 



of 2, 3, 5, 7, and 10, and of the modulus of common logarithms . 467 



Proceedings of the Royal Society, Vol. XLII. (1886), pp. 2225 



58. Note on Sir William Thomson's correction of the ordinary 



equilibrium theory of the Tides . . . . . .471 



Report of the British Association for 1886, p. 541 



59. On certain approximate formulcB for calculating the trajectories 



of shot 473 



Proceedings of the Royal Society, Vol. xxvi. (1877) and Nature, 

 Vol. XLI. (1890), pp. 258262 



