Mifcellanea Cwioja. 371 



ther three will alfo be diminifhed in the ferns 

 J^atto. 



The Annual Equation of the Sun's Centre be- 

 ing given, the three other correfponding An- 

 nual Equations will be alio given ; and there- 

 fore a Table of that will ferve for all. For if 

 the Annual Equation of the Sun's Centre be 

 taken from thence, for any Time, and be call'd 

 P, and let & P=Q, Q 4- ft Q= R, * p ~ 

 D, D+. I %D = E f andp — ftD=iFj 

 then (hall the Annual Equation of the Moon s 

 mean Motion for that time be R, that of the 

 Apogee of the Moon will be E, and that of the 

 Node F. 



Only obferve here, That if the Equation of 

 the Sun's Centre be required to be added ; 

 then the Equation of the Moon's mean Mo- 

 tion muft be fubtra&ed, that of her Apogee 

 muft be added, and that of the Node fubducV 

 ed, And on the contrary, if the Equation of 

 the Sun's Centre were to be fubdu&ed, the 

 Moon's Equation mult be added, the: Equation 

 of her Apogee fubdu&ed, and that of her Node 

 added. 



There is alfo an Equation of the Moons mem 

 Motion, depending on the fituation of her Apo- 

 gee, in refpeel: of the Sun ; which is greateft 

 when the Moon's Apogee is in an G£tant 

 with the Sun, and is nothing at all when it is 

 in the Quadratures or Syzygys, This Equa- 

 tion, when greateft, and the Sun in Perigao* is 

 3 Minutes, 56 Seconds. But if the Sun be in 

 Apogao, it will never be above 3 Minutes- 34 

 Secounds. At other Diftances of the Sun from 

 the Earth, this Equation, when greateft, is 

 reciprocally as the Cube of fuch Diftance. But 



when 



