t 



4 



Bowditch on a mutalce in the Solar Tables. 



o 



9 



^ 



and as the mean distance of the earth from the sun is put 



l,lhc 



two preceding; terms will represent thfe equations of the hyperbol- 



J 



ic logarithm of the radius vector. Multiplying this by 0.131 to 

 reduce to common logarithms and taking them to six places of 

 decimals they become nearly 



+ 7' cos t — 4. cos 2 t 



3 



L 



which is the same formula as is given by La Lande in § 3B57j of 



i 



the third edition of his Astronomy. 



Whe 



'I ^ 



quation becomes + 3, represent 



tion when Jupiter is in opposition to the Sun, which, by the Nau- 

 tical Almanac or La Lande's tables, was the case about the mid- 

 dle of January 1801, at which time the argument of this table was 

 nearly 500, and the tabular correction — 11, instead of -f 3. To 

 correct this mistake we must increase the arguments of this Table 

 of Mayer, La Lande and Zach^ by 6 signs or 500 parts* 



In De Lambre^s Solar Tables, published in 1806, the form of 



■ f 



the Table is wholly altered, the method of entry by a double argu- 



ment being used ; and by thus taking a different path the error is 



avoided without 

 works. 



o 



that it really does exist in the other 



5 



