276 Mifcellanea Curiofa. 



Sun's, the aforefaid Equation is about 54 fe- 

 conds greater : But when the Apogees are in 

 Oppofition, 'tis about as much lefs ; and it li- 

 brates between its greateft Quantity 3 minutes, 

 14 feconds, and its leaft, 1 minute, 26 feconds. 

 And this is, when the Lunar Apogee is in Con- 

 junction, or Oppofition with the Sun's: But in 

 the Quadratures, the aforefaid Equation is to be 

 leffen'd about feconds, or 1 minute, when 

 the Apogees of the Sun and Moon are in Con- 

 junction ; but if they are in Oppofition, for 

 want ofafufficient number of Obfervations, I can- 

 not determine, whether it is to be leffen'd or in- 

 creas'd. And even as to the Argument or De- 

 crement of the Equation, z minutes, 20 fe- 

 conds, above mentioned, I dare determine no- 

 thing certain, for the fame Reafbn, vfy the want 

 of Obfervations accurately made. 



If the fixth and feventh Equations are aug- 

 mented or diminifhed in a reciprocal Ratio of the 

 diftance of the Moon from the Earth ; i. e. in 

 a direcl: Ratio of the Moon's Horizontal Paral- 

 lax, they will become more accurate : And this 

 may be readily done, if Tables are firft made to 

 each minute of the faid Parallax, and to every 

 fixth or fifth degree of the Argument of the 

 fixth Equation for the Sixth, as of the diftance 

 of the Moon from the Sun, for the Seventh Equa^ 

 tion. 



From the Sun's Place, take the mean motion 

 of the Moon's afcending Node, equated as above ; 

 the Remainder (hall be the Annual Argument of 

 the Node, whence Its fecond Equation may be 

 computed after the following manner in the pre- 

 ceding Figure. 



Let 



