Mifcellanea Curiofa. 375 



tion of the Moon in her Q&ants (or its Lo- 

 garithms ) co every Tenth, Sixth, or Fifth 

 Degree of the mean Anomaly : And for the 

 Variation out of the Octants, make, as Radi- 

 us to the Sine of the double Diftrance of the 

 Moon rrom the next Syzygy, ot Quadrature 

 : : fo let the afore-found Variation in the 

 0£tant be to the Variation congruous to any 

 other Afpe6t ; and this added to the Moon s 

 Place before found in the firft and third Qua- 

 drant ( accounting from the Sun ) or fub- 

 du&ed from it in the /eeond and fourth, 

 will give the Moon's Place equated a fifth 

 time. , 



Again, as Radius to the Sine of the Summ 

 of the Diiknces of the Moon from the Sun, 

 and of nei Apogee from the Sun's Apogee (or 

 the Sine of the Excefs of that Summ above 

 360 degrees,) : : fo is 2 minutes, 10 feconds, to 

 a fixth Equation of the Moon's Place, which 

 muft be lubtra&ed, if the afore/aid Summ or Ex- 

 cefs be lefs than a Semi-circle ; but added, if it 

 be greater. Let it be made alfb, 4 s Radius 

 to the Sine of the Moon's diftance from the 

 Sun:: fo 2 degrees, 20 fecants, to a feventh 

 Equation ; which when the Moon's Light is in- 

 creafing, add ; but when decreafing, iubtracl: \ 

 and the Moon's Place will be equated a fc« 

 venth time, and this is her Place in her proper 

 Orbit. r r 



Note here, the Equation thus produced by 

 the mean Quantity 2 degrees, 20 feconds, is 

 not always of the fame magnitude ; but is in- 

 creafed and diminiftied, according to the Po- 

 rtion of the Lunar Apogee. For if the 

 Moon's Apogee be in Conjun&ion with the 

 T x Sun's 



