= (58) == 



(^^-h 2 /— i) Cj), pro tertia aiitem (t^-h^i — 3)^; vbi tan- 

 tum notari oportet numerum integrum i ita accipi debere, vt 

 vltimus numerus a i — 3 mancat podtiuus. 



§. 45- His igitur conftitutis ex fbrmula ds prorfus 

 vt fupra determinare licebit clementa coordinatarum d x ct 

 dy, ponendo Ccilicet 



d X ~ d s cof. (yfe -f- 2 /• _|- i) cp et 



B j =z d s fm. (k ~h 2 i -]- 1) (p ^ 



quandoquidem hinc fiet d x^ -{- dj- — d s- ^ vnde ternis parti- 

 bus pro ds fcribendis ipfae coordinatae ita exprimentur: 



^/acpfin. Cj)*-' cof. (i^-f- 2f-f- i)Cp 

 X = { H- -J-/a Ct) fin. c|)fe'-' cof. (k' 4- 2 i — i) 0^ 

 + ^/a (p fm. Cp^''-' cof (k'' _j- 2 z _ 3) (p\ 

 J-/a Cp fm. Cp''-' fm. (k -h 2 i -^ i) (p 

 j z= <[--(- l-fd (p fm. (p^'-' fin. (k' -f- 2 i — i) Cj) 

 (-1- l^fd Cp fm. Cp''"-' fin. (F^ -4- 2 / — . 3) (p 



Vbi integralia fmgularum partium per formulas fupra §.13 et 

 §. 18. exhibitas affignare licet, fiquidem ibi dedimus intcgra- 

 lia harum formuhirum : 



fd s fm. (k -\- 2 i -\- i) (p tt fds cof. (^ -|- 2 / -h i) 0, 

 exiftente ,d s = -^^ fm. (h^'-\ 



§. 45. Cum igitnr hic loco i innnmerabilcs nnme- 

 ros integros affumcrc Hccat, manifclUim cfl: ctiam pro hoc pro- 

 blematc infinitas exhiberi pofTe folutiones, fi modo cxcipian- 

 tur cafus illi fingularcs, quibus quispiam dcnominator cuanes- 

 citj id quod cuenit, quando k vel cyphrae, vel numefo nega- 



tiuo 



