SEQUEL TO THE EPOCH OF NEWTON. '217 



1715 or 1716, Grammatici at Ingoldstadt in 1726, 

 Wright in 1732, Angelo Capelli at Venice in 1733, 

 Dunthorne at Cambridge in 1739 (K). 



Flamsteed had given Tables of the Moon upon 

 Horrox's theory in 1681, and wished to improve 

 them ; and though, as we have seen, he would not, 

 or could not, accept Newton's doctrines in their 

 whole extent, Newton communicated his theory to 

 the observer in the shape in which he could un- 

 derstand it and use it 4 : and Flamsteed employed 

 these directions in constructing new Lunar Tables, 

 which he called his Theory*. These Tables were 

 not published till long after his death, by Le Mon- 

 nier at Paris in 1746. They are said, by Lalande 6 , 

 not to differ much from Halley's. Halley's Tables 

 of the Moon were printed in 1719 or 1720, but 

 not published till after his death in 1749. They 

 had been founded on Flamsteed's observations and 

 his own ; and when, in 1720, Halley succeeded 

 Flamsteed in the post of Astronomer Royal at 

 Greenwich, and conceived that he had the means 

 of much improving what he had done before, he 

 began by printing what he had already executed. 



But Halley had long proposed a method, dif- 

 ferent from that of Newton, but marked by great 

 ingenuity, for amending the Lunar Tables. He 

 proposed to do this by the use of a cycle, which 

 we have mentioned as one of the earliest disco- 



* Baily. Account of Flamsteed, p. 72. 5 p. 211. 



6 Lai. 1459. 



