EirSDEAI GEKERIS. 185? 



crit dx—ady-\-ydaj \i^to(\m du—Kady+Kyda-^-Sda 

 Dcbebit crgo cflc Ky~\-S — o^Jt'U Kx-\-Sa — o. 



§. 23. Sin vero fiierit u fiindio ;// dimenrionum 



*- u 



ipfiimm a et a', atqiie du~Rdx-hSda-, erit -^ 



fundio iplaium ^ et .v nullius dimenfionis. Differentie- 

 u xdu-iniidx ^ Rxdx-fmidx-+Sxda. 



tnr igitiir— et prodibit —jrn-^r, — Teu ^^,,,^^, 



Quod ciim fit differentiale fundionis nuUius dimenfionis 

 eri t R x' — m u x -\-S ax ~o., feu R .r -h- S ^ — m u. Qua- 

 re fi fucrit u fun(flio m dimenfionum ipiarum a ti x\ 

 atque ponatur du zz R dx -\-Sda crit R .r H- S ^- -Jii m u 

 ideoque duzzS\dx-\-'^{mu — Rx) fcu aduzzRadx 



— Rxda-\- muda. 



§. 24.. His pracmifiis in dz^^izVdx feu z'~ 

 fPdx fit P fundlio ;/ dimenfionum ipfarum ^ et x^ erit 

 igitur z tiilis fundlio dimenfionum ;2-h i- QLiare fi po- 

 natur fl'c;irPrt'.f-)-Q_^/^, erit ?x-\-Q_a — in-\-i)z. 

 Ex quo vaior ipfius Q fubfl:itutu& dabit aequationem 

 modularem dzzz? dx -\- ~^ in-\- i- )^ — P x ) fcu a dz 



— (n-\-i)zdazzVadx-Vxda. Quae tantum eft dif- 

 ferentialis primi gradus Cum autem generaliter crat 

 Q_— /Brt^.v, erit hoc cafu (n-^ i )f?dx — afBdx-\- 

 ?x. Ex quo perfpicitur hoc cafu intcgrale /B^a: (em- 

 per reduci ad f?dx. 



§ 25. Eadem aequatio modularis proueniet ex con- 

 fideratione folius P. Pofito enim d? z^ Adx -\-?,d a., 

 erit n? zzkx-\-^a. Cum 2LWt.tm i\t d z zzi? d x -\- d a 

 Tom. Vll. Aa ^ JBdx 



