DIFFERENTULIS. ^37 



• g — P 'Tt p 



C C. ^ «^ 1 7r ( 7r-t-f ) "~< -TriTrH-jjtTTH-.^jiTr-i-spj+^fC.) 



Habebimus ergo reftituto S loco lcriei 7rr-n-f-7) "H~ erc. 

 hanc aeqiiationem ^^ ^^( q ? S ) rr ^ p ^^- -i- ^~Y 

 S^^^. Pono porro brcuitatis gratia q f SirT,erit 



§• 9. Ad hanc aequationem integmndam pono T 

 ^rj, tniddT — rdds-^2.drds-\-sddi\ quibus fub- 



ftitutis habetur p" rdds-^ z^drds-h^^ sddrzzq r dq'^ -^rsd 

 ^-quae in diias aequationes discerpatur, ^'^rdds~rsdq^ytt 

 il^drds-^-^'^sddr—q-'f^dq'^. Harum prior per r diuifa 

 abit in hanc ^"^ dds—sdq"^ , quae per ds multiplicata dat 

 hanc ^"^dsdds^sdsdq^ , cuius integralis eft 

 ^"^ds^ —s^ dq^ j fiue haec ^ds—sdq^ quae denuo 



integrata dat ^ls — q atque j=rt<' denotante c mime- 

 rum y cuius logarithmus eft i . Inuento itaque s afTu- 



Tt — g 



mo alteram aequationem z^'^ drds-\-^^ sddr—q p 



</^2 , quae fubftituto ioco s valore inuento tc abit m 



'L 1. -~? 



iftam i^cP dqdr-{-^-cP ddr—q p ^^'. Ponatur dr 



■z^zvdq^ erit ddrzzdvdq atque neqiiatio mutabjtur in 



hanc ftmpliciter dififerentialem 2^cp vdq-^-^^iP dv~ 



2!rz? 3- 2lS 



q P dqy quara multiplico per cp , "vt prodeat n^c p 



vdq-^-^^^c P dv~fP q p dq^ cuius integralis eft ^^tp 



,11 -n — p zn^ 1. ^" — P 



v—Jcpq~P~dq. Fit igitur 1; — ^ c p Jcp q~P dq^tifa 



Gg 3 dq^ 



