motusPlanetaruxt. 17 



functionem quamcunque ipfius xxd<p> Mulciplicecur 

 ergo per xd<p > ericque integrate : 



\x* d §- = — \ d t l fTx* dtp, 



feu x* d tp 1 — d t 1 {A — fTx>d<p)> 



unde invcnictir 



, i'^' „ , xxdq> 



dt'-ssz- ,.„ ,  & dt = : 



A — fTx>d<f V (A —j'Tx ' d a?)' 



§. XI. Cum \g\tur fit x d <pi= J -± 2 (J— fTx>d(p) t 

 hoc valore in prima arquatione fubflituto habebimus: 



ddx=*dtH±—iifTx>i*r-\r) 9 

 qua: per idx multiplicata & integrata prarbet: 

 dxL = dr-(B — ^ — zf^fTx<dq>~frdx).Atefr 



— ip^fTx)d<p=.±fTx>dy—fTxd(p 

 quo valore introdu&o erit : 



dx 1 = dti{B-^ + -±-JTx'>d(p-fTxd<p-frdx),vci 

 x>-dx x =df- (Bxx - A-h/Tx <dq-x xfl Tx dq-*-Vdx) ) , 

 qnde nancifcimur 



, £ x d x 



t== y(Bxx—A-i-fTxi dy~xxf(Txdi>-+.Vdx)) 

 , ±dxV{A — fTx< dy) 



^ xV[Bxx— A-\-fTx> d<9—xxJ(Txdt?-i-rdx,)' 



§. XII. Ambiguitas fignorum , quam motus nacura 

 involvit, ita ab arbitrio noftro pendet , ut pofitivum va- 

 leat , fi motum ab eo loco, ubi corpus puncto fait pro- 

 ximum , definire velimus , negativum vero fi a diftantia 

 maxima difcefierit. Quoniam igiturinAftronomiaufuseft, 

 motnm corporum a maxima difrantia computare, valeat 

 fignum negativum, ut habeamus has duas arquationes: 



j — * ^ x 



V(Bxx — A-hJTx>d<f—xxf(Txd<f-t~ydx)) 

 , —dxViA—fTx'ddf) 



* ~~ xV(£xx — A-i-JTx>d>? — xxflTxdt?-hrdx)) > 



Prix de ijb6, C 



