-»§31 ) 28 2 C ^?S<- 



quo clarkis conuergentia terminorum ob oculos ponatur, 

 fiqiiidem literas x et y vt quantitates valdc paruas re- 

 fpicere licet. Erit igitur 

 ^Jjl—i2±L-'innx-:infixx-i-4.n nx' — snnx^-\-6nn jf'— 7«7.v'etc. 



-^-Innyy—Cnnxyj-^-isnnxxyy—^^onnxyy+^^nnxyy 



— y « « J* + *l n n xy* —^'^^nnxxy*- 



i^^l^*.^z:-\-:innxy-6nnxxy-{- 1 onnxy— 1 5 nnxy-{- 21 nn xy 

 + 1 n ny' ^'inn xy'+'innxxy'—-^ n n x'y* 



— V n ny' -\-~-nn xy\ 



§, 13. Diiiidamus has aequationes per««, et cum fic 

 nt—^, exiliente ^ longitudine media Planetae, fiue angulo 

 VSM, quem ex tabula motuum mediorum Planetae ad quod- 

 vis tcmpus depromere licet, erit ndt — d^etnndt-~d^% 

 vnde uodrae aequaiiones aliqnanto fient fimpliciores, fcilicet: 



V^y-Vr=3^-3-v.v+ ^x' - s X* + 6x' - j x' etc. 

 + lyj - ^ xyy-\-isxx)y-50xyy-{-'-^xyy etc. 

 — '/ y* 4- V xy* — ^-^xxy'- etc. 

 + ^^y etc. 



~^-\-~j ~ axy —^xxy 4- r o Jt' y- 1 5.v*r + 2 1 x'y etc. 



-^- ly'- '/ xy' -h'-xxy' - '-^ x'y' etc. 



-V y J^kxyQtc. 



§. 14. lam obferuauimus, fi orbita Pfanetae ex- 

 centricitate careret, perpetiio fore tam x-o quam y~o. 

 Eatenus igitur hae quantitates non euaucfcenc, quatenus 



adell 



