vi TRANSLATOR S PREFACE. 



been corrected, and in addition to these a considerable number, a list of which will be 

 found in GOULD S Astronomical Journal, that were discovered by Professor CHADVENET 

 of the United States Naval Academy, who has examined the formulas of the body of 

 the work with great care, not only by comparison with the original, but by independent 

 verification. The proof-sheets have also been carefully read by Professor . PHILLIPS, of 

 Clmpel Hill, North Carolina, and by Mr. RUNKLE and Professor WINLOCK of the Nautical 

 Almanac office. 



The Appendix contains the results of the investigations of Professor ENCKE and 

 Professor PEIRCE, from the Appendix of the pamphlet above referred to, and other mat 

 ters which, it is hoped, will be found interesting and useful to the practical computer, 

 among which are several valuable tables : A Table for the Motion in a Parabola from 

 LEVERRIER S Annales de L Observatoire Imperial de Paris, BESSEL S and POSSELT S 

 Tables for Ellipses and Hyperbolas closely resembling the Parabola, and a convenient 

 Table by Professor HUBBARD for facilitating the use of GAUSS S formulas for Ellipses and 

 Hyperbolas of which the eccentricities are nearly equal to unity. And in the form of 

 notes on their appropriate articles, useful formulas by BESSEL, NICOLAI, EXCKE, GAUSS, 

 and PEIRCE, and a summary of the formulas for computing the orbit of a Comet, 

 with the accompanying Table, from OLHERS S Abhandlung ue.ber die le.ichteste und be- 

 quemste Methods die Bahn eines Cometen zu berechnen. Weimar, 1847. 



