(8<J) === 



Tndc pro ciioluta ordinls cuiuscunque X erit 



21'^' — K^ (?i cof. X w -h 23 fin. X u) et 

 ^(^' ~ a^- (33 cof. X w — 2J fin. X o). 



Quodfi ergo hi valores loco ?i et ^ fcribantur, formulae in- 

 \entae vaiebunt pro euoluta ordinis X. 



§. ip. Quo has formulas adhuc fuccindiores rcdda- 

 mus, ftatuamus Si^zt' fin.y ct ^ — rcof. y, et formulae pro 

 ipfa curua quaefita inuentae fequentes formas induent: 



I. r = ce<'^ {in. (y -4- >i Cp). 

 II. .fr-^^^'^ fm. (y — (si-hy^Cp). 



a. 



-^ ,^aa-,a%.co^.) ^^'^l^^^"^-CV-^-^C>l-0^)-fin.(y+(>r-l)(p)]. 



IV.J- ,,,,^I^.„..^./ '^[°^fi"-(V-"+(^^04^)-cof.(y^(>)+i)Cp)] 



-^ ,(c.a-.aV.. + » ^^'^l-^^^"-^V-^-^(^-0^)^COf(y-4-(.)-l)(p)]. 



§. 20. Pofitls autem loco 5( et 23 his valoribus as- 

 fumtis <rfm. y et cof. y, fiet 



51^ — a f fin. (y -|- w) ; 



55^ — a £• cof. (y -4- w) . 

 Cum igitur pro euohita prima fit radius osculi 



r" = e^'^ (r cof. y\(p-i-?5' fin. >) (p), 

 habebimus 



r^ =:ac e^'^ fin. (y -}- oj H- •>! Cj)), 



qui valor ex principah r — <r f^^ fin. (y -|- >i 0) oritur, fi ibi 

 loco tf fcribamus «<-, loco y vero y-+-w, vndc fi in formu- 



lis 



