^74 Mifiellanea Curiofa. 



the Apogee) may eafily be had for any Time 

 required , let the Equation thus found be ad- 

 ded to the firft Equated Place of the Moon's 

 Apogee, if the Annual Argument be lefs than 

 90 degrees, or greater than 18© degrees, and 

 lefs than 270 ; othcnvife it muft be fubdu&ed 

 from it j and the Sum or Difference fhall 

 be the Place of the Lunar Apogee (econdarily 

 equated ; which being taken from the Moon's 

 Place equated a third time, (hall leave the 

 mean Anomaly of the J^Ioon correfponding 

 to any given Time. Moreover, from this 

 mean Anomaly of the Moon, and the before- 

 found Eccentricity of her Orbit, may be found 

 ( by means of a Table of Equations of the 

 Moon's Centre made to every degree of the 

 mean Anomaly, and (bme Eccentricities, (vi%. 

 47000, foooo, 5:^000, 60000, and 65:000) the 

 Proftaphcerejis, or Equation of the Moon's Cen- 

 tre, as in the common way : And this being 

 taken from the former Semi- circle of the mid- 

 dle Anomaly, and " added in the latter to the 

 Moon's Place thus thrice equated, will pro- 

 duce the Place of the Moon a fourth time 

 e-quated. 



The greateft Variation of the Moon (vi%. 

 that which happens when the Moon is in an 

 OvStant with the Sun) is nearly, reciprocally 

 as the Cube of the Diftance of the Sun from 

 the Earth. Let that be taken 37 minutes, 

 feconds, when the Sun is in Perigao, and 33 

 minutes, 40 feconds, when he is in Apogxo : And 

 Jet the Differences of this Variation in the 

 O&ants be made reciprocally, as the Cubes of 

 the Diftances of the Sun from the Earth ; and 

 (b let a Table be made of the aforeiaid Varia- 

 tion 



