362 Mr DAVIES on the Equations of Loci, Sfc. 



that work, iv. p. 275. Mr SKENE (J3. Cygni) gave a differential equation of the 

 same upon the sphere itself, but did not attempt the integration of it, in Genttemarts 

 Math. Comp. No. vii. Vid. also LEYB. Diaries, iv. 277. No general views, how- 

 ever, of extending and systematizing the inquiry seem to have occurred to any of 

 these writers ; and perhaps, whilst the old trigonometrical notation was .so generally 

 employed, the advantages of the new too little felt, and the formula and methods 

 which were connected almost identified with it, imperfectly familiarized to the eye 

 and hand of the analyst ; it would, then, have been almost impossible to pursue 

 those inquiries to any great extent. At all events, the subject died away, and was 

 probably forgotten even by those who had engaged in it at the time. I think it 

 right, however, to recapitulate what has been already done, though at the same time 

 to state distinctly, that my own researches were undertaken and completed in perfect 

 ignorance that even these few attempts had been made before me. 



ERRATUM. 



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END OF PART FIRST. 



