CORPORVM COELESTIUM 169 



tt integrando habebitur £ V fr* = 



= conft.+j(i + §£ a + ^fc 4 +^'+etc. ) 



- 2 tfin. s ( 1 -+■!*•+£? * 4 +£S *' +* ctc. ) 

 + |£*fin. 2 j(x+|f + gft* +- *ik* + etc. ) 

 - j k % fin. 3 i ( 1 + ¥#+#** +" etc * ) 



4- , 5 i * 4 fin.4.r( 1 + ?£ *•-+- ft# 4- etc. ) 



- tU $ fin. 5x(i +?**+ etc. ) 

 4- iliffin. $ j ( 1 + 11J? +- etc. ) 



etc* 



COROLL. *; 



7. Patet hic coefficientem ipfius s effe =2 



< ' i-£ ' fc)vt i -kky Q. uafe fi aequatio noftra per (i-iifc) 1 

 multiplicetur , orietur £ V f. ?;^» - 

 :=Conft.+.f -2 *fin.+.{ jfc* ( 1 + i k* + £ jb 4 + £ fc* ) fin.a j 

 -^Yin.s^i+i^+Arj+^^ii+f^+irjfin^/ 



-Ak 4 (x+S»)-fin.5J+-iJiiK , (i+.BW)fin.tfj 

 etc 

 'vbi notari conuenit , fra&ionem 7-diTft exprimere (emi- 

 axem transuerfum. Erit ergo %V Co ' ( a7** ~ — Conft. 

 anomalia media , quippe quae tempori eft proportionalis, 

 vnde H anomalia media ponatur = r, quae pariter ab 

 abfide ima computetur, erit r~%V^^~£ -Conft.atque 

 ^r+-2fefin.j-ir(i+-U , + TU 4 +^U 4 )fin.2j 



+ ^ , (i+Ife t +/^ 4 )fin.3J-3 $ i ^(i + f/: , + |i: 4 )fin.4/ 

 + ft*M ■ +1**0 fin -5J- *k € (J + T |Aib)fin.6 j 

 quae formula ad excentricitates iatis notabiles fe extendit, 

 Tom. IV. Nou. Com. Y ex 



