•>l^5 ) 314 ( ^1^« 



§. 47. His igltur rationibiis mere niimericis con- 

 (litlitis erit pro noftris binis prioribus aequationibus 



dr-{-d^ cof. i— : {l — a,)dty 

 deinde vero quia 



//r^4-2</rtf^cof.i4-^$^* — (^r + ^^cof.i)'+//^'fin.»' 

 eiit haec formula 



dr^ -\- s-drd^ coCi-h dQ^— (l - aY d t' -i- ^ ^ d t\ 

 Quare fi noftras aequationes per d-t^ diuidamus , eae fe- 

 quentes induent formas : 



rill.-^ i±L(l-a}, — 2pi?cof.r^ 

 I. jI'(i+jJ')((/-a)*+(3pconr*) ^ — -F (i 4-A-)+AGa 

 t-f ^|3jfm.rcof.r + a(Ssfin.>- ^" 



■''^^.Hii.^* (/-a) + 2p^^fiQ.r 



d(j 



IL j_y((/_a)'-|-p]3fin.r) C~-¥y-BGu 



-hj3[3(i+Jf)fin.rconr-fa|35;cor.rV 



+,2 p J?- cof. r - 2 (3^, fin. r-pps;- 





ni.j_(i_|_jc)(2p/fin.r-a(3fin.r) i^-Fz-CGtg 



'~^(2|3/cof. r — apcof. r) J 



§. 48i Totum ergo negotium iam huc eft re- 

 duL^lum, vt tres iftae aequationcs ditferentio - difTcrentiales 

 per duplicem iutegrationem rite refoluantur, vnde pro qn(v 

 "vis tempore propofito valores trium noflrarum incognita- 

 rum X, y, z alfignari queaut. Ante autem quam hunc 

 laborcm fufcipiamus, operae pretiiim erit oftcndere, qucm- 

 admodum cx inuentis quantitatibus x, jy z verum Lunae 

 iocum in coelo determinare oporteat. 



Tab. XIII. §. 4.p. Referat igitur tabula planum orbitae hma- 



''S- 5- ris niediae pro tcmpore propolito, in quo fit T centrum 



Terrac 



