374 HISTORY OF ASTRONOMY. 



values of the secular variations of the mean motion 

 and of the motion of the perigee ; and they are arranged 

 in a form designed by Professor Peirce. 



Mayer's Lunar Tables, which were published in 1753, 

 represented the moon's place with greater accuracy than 

 any which had hitherto been constructed. The number 

 of arguments used in calculating the moon's longitude 

 was fourteen. These tables received the approbation of 

 the British Board of Longitude, and the widow of Mayer 

 received on account of them a considerable sum of 

 money from the British government. 



In 1780 were published Mason's Tables of the Moon. 

 In their construction and arrangement they resembled 

 Mayer's tables, but the number of arguments employed in 

 calculating the moon's longitude amounted to twenty-two. 



In 1806 Burg's Lunar Tables were published under the 

 auspices of the French Bureau des Longitudes. The 

 number of arguments employed in the calculation of the 

 moon's longitude was twenty-eight. 



In 1812, Burckhardt's Lunar Tables were published. 

 The number of arguments in the moon's longitude was 

 thirty-six. 



In 1824, appeared Damoiseau's Tables of the Moon, 

 founded solely on his own theoretical researches. The 

 number of arguments in the moon's longitude is forty- 

 seven. 



The American Lunar Tables are constructed upon a 

 plan recommended by Carlini. The number of argu- 

 ments for*the moon's longitude is seventy-nine. 



