WITH APPLICATION TO SPHEKICAL HARMONIC ANALYSIS. 
211 
by sin p6 or cos and after integration with respect to cf) the equations of § 11 
may be applied. The spheroidal shape of the earth may also, if necessary, be easily 
taken into account, but I reserve the discussion of this matter until the completion 
of some calculations, on which I am at present engaged, will allow me to compare 
the results obtained by the method I advocate with those obtained in other ways. 
Great pains have been taken to guard against numerical errors, and it is hoped 
that all numbers given in the tables are correct, with the proviso, however, that 
the last decimal place in Tables V. and XII. is uncertain by one unit, and wrong 
possibly even occasionally by two units. Professor Core has assisted me in the 
numerical work. 
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