BE MOTF mnORFM ITKAE 445 



dat: ifm. 2 f^<P) -^ -; fin. 2 ( r-(p) - ifin. 2(q-r): hincquc erit 

 </./tang.e=:^li-|^'(fin.a(^-0) + fin.2(r-Cp)-fin.2(^-r)) 

 Cuiiis formulae integrale fi fuerit ~ R erit / tang. 9 zr. 

 C-f-R et tang. ^ ~C^^, et quia R erit quantitas Yal- 

 de parua , erit proxime tang. ^ — C ( i + R ) 



§.33. Si ponamus vt ftipra X: i pro ratione medii 

 motus lunae ad medium motum folis , atque ftatuamus 

 dr — disi et dq — ^Kdisi negledlis aberrationibus exiguis 

 ab his valoribus , erit 



</. /tang. :=; =^ ( fin. 2 C ^ - (|) ) + fin. 2 (r - (J) ) - fin. a (^-r)) 

 cuius integrale, fi (f) tanquam confl:ans confideretur erit, 



/tang. e = /C-f- .^(^^=^»-1- cof ^ir-<^)^-^-=r)^ 

 Variabilitas autem ipfius (p hic parum mutat , quia angu- 

 kis d ipfe eft fttis paruus , interim tamen fi eius ratio- 

 nem habere velimus , differentiemus expreflionem inuen- 

 tam pofito (|) tantum variabili , eritque 



i^(i^^^fi„.a(^„(j)). cum autem fit 



</ (p zr '-5^ ( 1 + cof 2 ( ^-y ) + cof 2 {q-<^) -+- cof 2 (r-0)) 

 abibit illud differentiale in hanc formam : 



.«U'- X -J-J!n.2{r_cp)-+- _^^ -|- ^^ — -_j ^ >^ 



__ //n.;(.;-2r-f.^] Jii-*(q-<P) . Jin. i ( n~i~r-2(P) Jiruzjq 



. ^ . X 



.^=.a[ 



, fr,.,(g-4-r- ;(I)) /in.,(.7-r) /ia.4(r -(p)\ 



_ _ H Tx -H- A h ,- J 



Cuins integrale , quod a fuperiore valore ipfius / tang. $ 

 fubtrahi debet eft 



— 9 f cof.ziq -^p) cof.,(q-(P) a^.t{r-(J)) coPj(r-(J)) eofMq-\) "''coU(q~r)\ 



icxxv A yi- .XX -1- , +- , x~~— T^A^ii^T^+Txix^)/ 



negle(Sis reUquis terrainis vtpote vehementer exiguisl 



Tom. I. H h h Hinc 



