1 14 Astronomical and Nautical Collections, 



The following is an example of the last modification of the 

 formula. 



M. Bouvard makes the increase of the moon's right ascension, 

 during her passage from the meridian of Paris to that of Greenwich, 

 on 17th January, 1818, to be 20"-07 in time. Now the increase 

 of the sun's right ascension in twenty four hours apparent time at 

 that time was 4' 16"'l ; the middle point of time between the 

 moon*s passages over the respective meridians was 8** 22' appa- 

 rent time at Paris, when the moon's motion in right ascension for 

 twelve hours apparent time was (by the Connaissance des Tems^ 

 6*5 13' 44", which depressed a denomination becomes 6' 13" 44'", 

 the moon's motion in right ascension in time for three hours. 



Log. of20"-07 1 •30265 



Log. of Jl (argument 4' 16"-1) . . 0-00128 

 Prop, log, of 6' 13" 44'" . . . 1-46085 



Log. of 9' 41"-6 2-76468 



Subtract 20-07 

 Remains longitude 9 21-5 



M. Bouvard makes the longitude 9' 20"*0 from the observation ; 

 but the correction \"'5 being applied, it becomes 9' 2r'*5, as 

 above. 



Table of the Logarithms of the Rates of Apparent 

 Time to Sidereal. 



Argument. — Sun's motion in Right Ascension in time for 24 

 hours apparent time. 



