SVI SmiLES FROLVCFNT, 55 



crit dy:=zdz'-'!iudu — duY-A^ n atque riz z d z 



^zudu — zduV^^ n — uudz — udzy W- n —• d 



zv n Ponamiis :+: « — ^n quia m perinde afilgnaii po- 

 teft fiiie fit n numenis affirmatiuus fiue negatiuus ; erit- 

 que ozzzzdz^zudu — mzdu — uudz — m u d z 

 — ;;/' d z.. 



§. 54. Haec Tero aequatio ex earum eft numero , 

 quae feparabiles rcdduntur , fi ponatur d z z^ p d u ^ hoc 

 enim f^Oio «erit jozz-p z -^- zu — m z ~- p u —mp u — 

 fn p vnde ^t z zz, ^^"^j^—^ , quae fubftitutio adhibca- 

 tur. DifFerentietur fciiicet , eritque d z zz p d u zz 



ii'ci6-4-Pu'iu — im'^ pdu-^ivi^pdu — 2mp.udu-+.2Up'^d2i~i-mp^du — m^dp 



— ^uzz^^ ' quae re- 



duaaabitinhanc: ^, ==^-^^-^,- feu 



^-^^^Kf^l m^ integrata.dat ^. l-^~n^m^) - 

 m^vj -^ tang. ,^_j_,r„ — 3m» ^ •-^{pp—zmp-i-sri^) "4- ^^j^ A tang. 



:jV^ 



H-Atang. ;|^^,^-Conft.'^A tang.S^ 



.^ Conrt. QLiia rvero .efl: .p :±-iilt=±lyr^^^'^^^-+-rnm) ^^-^^ 



Vj jy-f-iiu-^-mi^-f-mrTi " A taug. 



(y(uu-+-mu— mmjH-(u2^77i2Xttw-+-OTiiH-rtim)}Vj -]- V.0nU. TDl elt U ZZZ 

 r ydr rr 



§. 5 5. Quoniam inuenimns quaeflloni particulariter 

 fatisfieri aequatione y-^-uu^muA-mmzz o prodibit haec 

 aequatio inter r et ^ partem quaeftionis refolucns rdr-^ 

 mrds-i-fn^sdszzo ^ quae igitur aequatio crit intcgraHs 



E z ^ huius 



