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'DZlO^'B.Vi.— Mathematical Theories of Planetary Motions. By Dr. 

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 merly Chief of the United States Weather Bureau, and Professor of 

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The determination of the motions of the heavenly bodies is an important problem 

 in and for itself, and also on account of the influence it has exeried on the develop- 

 ment of mathematics It has Engaged the attention of the greatest mathematicians, 

 and, in the course of their not altogether successful attempts to solve it, they have 

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 in other branches of mathematics.' Analytical mechanics, beginning with Newton, 

 and receiving a finished clearness from Lagrange, is especially indebted to this 

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 ical science. 



Hence, when it is desired to illustrate the abstract theories of analytical mechan- 

 ics, the profunditjr of the matjiematics Qf thn problem of the motions of the 

 heavenly bodies, its powerful influence on the historical development of this 

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This work is intended not merely as an introduction to the sjjecial study of 

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 same time to produce a book which shall be so near the present state of the science 

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