ADYERTISEMENT. 



The principal part of the following Memoir on Certain Harmonies of the Solar 

 System was read before the American National Academy of Sciences, at its meet- 

 ing in April, 1873, and some additional portions of the same, at the meeting in 

 April, 1874. 



In accordance with usage in such cases the whole is now presented to the 

 public through the Smithsonian Contributions to Knowledge. 



JOSEPH HENRY, 



Secretary S. I. 



Note by the AutJior. — After reading the whole memoir, a synopsis of the principal relations may 

 be obtained by a reperusal and comparison of the Tables (B) to (F) inclusive, with their explana- 

 tions ; and, especially, the Summation of Consistencies at the end. 



(iii) 



