-14-E ) 214. ( 3.H<- 



1 1 



— ~ y , ideoque 



!t 



z a -{' t 



- aie" -lY 

 ^__i — 



ae" 



Euolutio cafus tert;ii. 



§. 20. Cum hoc caCu, vti §. 17. videre eft, fk, 

 dll——Kdp — 'Kyd^^ erit multiplicando per />, 

 "hpjdx— "hy dy — — \ip dp, 



et fumtis inregralibus "hy y ~^ — ^P P- Pi"0 conftante 

 C determinanda ponatur, in ipfo initio abfcinrarum A, vbi 

 J — o, fuifie p — a, eritque C — K a,a, et aequatio 

 Xyy = K{a.a~pp)y (lue yy=^ [^<^-pp)^ 



ex qua deducitur 



p /) - a a - p j jK, exiftente (3 ::: 1" ; 



hinc extraifta radice fiet 



pzzz^^l-y^^^^lyy. ideoque dx-^:^, 

 Hinc ob d s — V dx"" -\- dy^ foret arcus, 



h\z=:.s^fdyy-T^^i±f^. 



Ponatur br. gr. a.a-g>yy^zz, erit j j - ^"i-^-?, - 



ideoque 



y dyzz-''-^^, hincque dy- _4i^— , 



quo fubflituto foret arcus 



AY — s — --^f!^dy '-rt-^^. 



■r^ 1 — J — yj3J aa — za 



Arcus ellipticiis, cuius leaificatio fiuftra tentaretur. 



Cetc- 



