PLANETARVM. 371 



iun<aimKi:-fofin.(^-r)+|^rin.(^4-r)-iVrin.(3^-0-5rin.(3?+J') 

 et p. — o a »1 s.tn 4 ?« 



confequentcr 



2rr + /,ri3n.(?-|-0-*'»^i"'(3^-»')-5fin.(3?-i-0- 



Hos ordines euoluiffe fufficiat , quibus colledtis re- 

 perimus 



z~i lan.f- 1 ikCm.(q-r)'-likCin.i^-]-r)-]-likk{in.{^q-{-r) 

 +-^,ik' 



— iB/fe'fin.(3?-r) — 5/^'fin.(3^-i-r). 



27. Inuetuo hoc valore ipfius 2, nunc etiam 

 corredliones, quae liinc in quantitates x et j redun- 

 dant , inueftigari oportet , quem in finem definiamus 

 primo quadratum zz, quod autem non vltra indi- 

 cem i i k k extendamus , quod ergo fequenti modo 

 reperietur exprelfum : 



z z — i i {\n. r' -\- 2. i i LX. an.r -}- z i i kkY Cin.r 



-i-iikk. XX 

 quae forma euoluitur in hanc 



«2— ii(s — jcof 2r)4-/7fc(+cof^— |cor(^-2r)+5con(^4-2f) 

 +«^fc(+^-|cor.2^4-^cof.2r-fcoI.(2^-2rHcof.(2yi-2r)) 



cuius loco fcribamus 



zz — iiA-\-iik.B-\-iikkCy 

 ita vt fit 

 A — 5 — scof. 2r; Bzrcof ^-lcof (q - zr^+lco^q+ir); 



C— -f|-|cof27+^co( 2r-|co(.(2^-2r)-icofC2^+2r). 



Deinde pro quaefitis corredionibus ipfarum x et / , 

 ftatuamus 



A a a 2 x=:k 



